Masoud Ganji - Academia.edu (original) (raw)

Papers by Masoud Ganji

Research paper thumbnail of Spatio-Temporal Determinantal Point Processes

SSRN Electronic Journal

Determinantal point processes are models for regular spatial point patterns, with appealing proba... more Determinantal point processes are models for regular spatial point patterns, with appealing probabilistic properties. We present their spatio-temporal counterparts and give examples of these models, based on spatio-temporal covariance functions which are separable and non-separable in space and time.

Research paper thumbnail of A Comparison of Resiliency, Marital Satisfaction and Mental Health in Parents of Children with Learning Disabilities and Normal Children

ديكچ ه : زا فده ح شهوژپ رضا هسياقم بات ي تياضر ،يروآ يناوتان هب لاتبا دوجو اب ناكدوك نيدلاو رد نا... more ديكچ ه : زا فده ح شهوژپ رضا هسياقم بات ي تياضر ،يروآ يناوتان هب لاتبا دوجو اب ناكدوك نيدلاو رد ناور تملاس و ييوشانز يداع و يريگداي هدوب تسا . حرط ،شهوژپ يفيصوت زا عون هسياقم يا تسا . عماج ه ي يرامآ نيا شهوژپ لماش يلك ه ي نيدلاو شناد زومآ نا رتخد و رسپ و يريگداي يناوتان يداع يم دشاب . گ هور لباق هعلاطم 50 رفن زا نيدلاو شناد زومآ نا و يريگداي يناوتان هب لاتبم هورگ لباق هسياقم زين 50 زا رفن نيدلاو شناد يداع نازومآ ليكشت يم دنهد . شور هنومن يريگ هب تروص يفداصت يم دشاب . يارب ليلحت هداد ياه نيا شهوژپ زا ليلحت سنايراو دنچ يريغتم ، ريپ يگتسبمه بيرض نوس دنچ نويسرگر و يريغتم تسا هدش هدافتسا . زا بات سايقم ،نوس ديويد و ورنوك يروآ سايقم تياضر زا يگدنز (CD-RTS9) و همانشسرپ ي تملاس يمومع

Research paper thumbnail of The Weibull–Rayleigh Distribution, Some Properties, and Applications

Journal of Mathematical Sciences, 2016

A new distribution, the Weibull-Rayleigh distribution, is introduced, and various properties of t... more A new distribution, the Weibull-Rayleigh distribution, is introduced, and various properties of the distribution are provided. Two real data sets are used to illustrate the applicability of the Weibull-Rayleigh distribution.

Research paper thumbnail of Hyers-Ulam-Rassias Stability of Functional Equations in Multi Banach Spaces

International Journal of Pure and Apllied Mathematics, 2013

In this paper, we study the generalized Hyers-Ulam-Rassias stability of the additive functional e... more In this paper, we study the generalized Hyers-Ulam-Rassias stability of the additive functional equations f (x + y + z + a) = f (x) + f (y) + f (z) for the mapping f from a linear space into a multi-Banach space. Furthermore, we also establish the asymptotic behavior of the above additive functional equations.

Research paper thumbnail of Generating the Generalized Distributions by Using Fractional Calculus

In this paper, we generalized some statistical distributions by using fractional calculus. The do... more In this paper, we generalized some statistical distributions by using fractional calculus. The domain of parameter space for these distribu- tions was expanded and their PDFs also presented as a product of fractional derivation of Dirac delta function of shape parameter order.

Research paper thumbnail of A New Method For Generating Continuous Bivariate Families

Journal of the Iranian Statistical Society

Recently, it has been observed that a new method for generating continuous distributions, T − X f... more Recently, it has been observed that a new method for generating continuous distributions, T − X family, can be quite effectively used to analyze the data in one dimension. The aim of this study is to generalize this method to two dimensional space so that the marginals would have T − X distributions. So, several examples and properties of this family have been presented. As an application, a special distribution of this family, called bivariate Weibull-Rayleigh-Rayleigh, is fitted to a data set and is shown to have a better fit.

Research paper thumbnail of Comparing Emotional Regulation and Defense Mechanisms in Mothers of Students with and Without Learning Disabilities

Research paper thumbnail of A comparative analysis of black-white and colored numerical concepts organization in the short-term memory of the brain system

For the human to understand his nature, he receives some of its understandable information in the... more For the human to understand his nature, he receives some of its understandable information in the form of memory and remembers it. Information resides in neurons as molecular and ionic events and thus different types of memory are created. The aim of this study was to determine the effect of light waves of different frequencies on human short-term or long-term memory. The software programming for this study was based on previewing numbers in the brain hemispheres. The numbers that emerge in parts of a triple screen are sufficiently low contrast that the eye can put a spin on them so that the yellow spots do not have any number image, and the images resulting from the emergences are only previewable in one brain hemisphere; this is based on the temporal and nasal neural structure of the visual areas. Thus, the numbers only become possible pictures in both hemispheres when they appear in the central part of the triple screen. In series A the reaction time difference between the first ...

Research paper thumbnail of Forecast and Spatiotemporal Analysis of Early and Late Freezing Events of Ardabil Province under Climate Change Conditions

Over recent decades, increase of greenhouse gases has caused disorder in climatic balance of the ... more Over recent decades, increase of greenhouse gases has caused disorder in climatic balance of the Earth which is called climate change phenomenon. The most important consequences of climate change include increase of average temperature of the Earth, increase of extreme climate phenomena such as flood, corn snow, thermal waves and untimely colds. Using different climate models and having climatic forecast based on nature of their long-term time interval play a very valuable role in management of extreme phenomena. This research aims to forecast early and late freezing of Ardabil Province for time periods of 2011-2033, 2046-2065 and 2080-2099. Daily minimum temperature was simulated by using GFDLCM2.1 and HACDM3 models under A2 scenario and the statistical exponential small-scale method LARS-WG. Data used in this research includes elements of precipitation, minimum temperature and sundials on daily scale in stations of Parsabad, Ardabil, Meshginshahr, Sarein and Khalkhal in Ardabil Pr...

Research paper thumbnail of Some Fractional Special Functions and Fractional Moments

In this paper, we introduced a generalized moment generating function (GMGF) and showed that frac... more In this paper, we introduced a generalized moment generating function (GMGF) and showed that fractional moments, that is moments of order nq th of a certain distribution, was expressed in Caputa fractional derivation of GMGF in zero, n bieng a positive integer and 0 < q 1 . The case q = 1 is reduced to the integer moments.

Research paper thumbnail of Generalized Statistical Convergence in the Non-Archimedean L-Fuzzy Normed Spaces(pp.15-22)

Azerbaijan Journal of Mathematics, 2015

In this paper we dene and study generalized statistical convergencein non-Archimedean L-fuzzy no... more In this paper we dene and study generalized statistical convergencein non-Archimedean L-fuzzy normed space. We determine some resultsconcerning the generalized statistical convergence in non-Archimedean L-fuzzynormed spaces. Also we introduce the notion of the generalized statisticallycompleteness in non-Archimedean L-fuzzy normed spaces and we show thatthe non-Archimedean L-fuzzy normed space is generalized statistically complete.

Research paper thumbnail of Bayes Interval Estimation for binomial proportion and difference of two binomial proportions with Simulation Study

This study is considered a number of popular confidence interval for binomial proportion and the ... more This study is considered a number of popular confidence interval for binomial proportion and the difference of two binomial proportions . A new approach is proposed base on Bayesian view for binomial proportion and also for difference of two binomial proportions . The Bayes confidence intervals compared with other confidence intervals of coverage probability and expected length . Based on this analysis , and t he simulation study recommend the Bayes confidence interval of binomial proportion and difference of two binomial proportions for small sample , and show their superior performance from both criteria .

Research paper thumbnail of The beta generalized Rayleigh distribution and its application

In this thesis, the main discussion will be on the beta generalized Rayleigh distribution and the... more In this thesis, the main discussion will be on the beta generalized Rayleigh distribution and the presentation of some of its properties. The beta generalized Rayleigh distribution provides a rather general and flexible framework for statistical analysis of positive data, which provides a better fit than other statistical models in lifetime data analysis. The expansions of the cumulative distribution function and the probability density function using the moments and the moment generating function in addition, the parameters is approached by the method of maximum likelihood and the observed can be discussed in this thesis. Keywords: Generalized Rayleigh distribution, Moments, Moment generating function, Maximum likelihood function.

Research paper thumbnail of Extended TX Family of Distributions

The motivation of the present article is introducing a more general family of distributions calle... more The motivation of the present article is introducing a more general family of distributions called extended T-X distribution. We examine the S-T-X family and T-X-Y family of distributions and then extend such families for any number of random variables n X , n = 0, 1, … ,k, as " the transformers " or random variables n T , n = 0, 1, …, k, as " the transformeds". We call such Families of distributions" extended T-X family of first kind (extended T-X (I))" and " extended T-X family of second kind (extended-X (II))", respectively. Some of their properties and special cases are discussed. Several known continuous distributions presented as members of this family.

Research paper thumbnail of Generalized Fourier Transform for the Generation of Complex Fractional Moments

F ourier transform of fractional order using the Mittag-Leffler-type function and its complex ty... more F ourier transform of fractional order using the Mittag-Leffler-type function and its complex type, was introduced together with its inversion formula. The obtained transform provided a suitable generalization of the characteristic function of random variables. It was shown that complex fractional moments which are complex moments of order nq th of a certain distribution, are equivalent to Caputa fractional derivation of generalized characteristic function (GCF) in origin, n being a positive integer and 0 < q ≤ 1 . The case q=1 was reduced to the complex moments. Finally, after introducing fractional factorial moments of a positive random variable, we presented the relationship between integer moments, fractional moments (FMs) and fractional factorial moments (FFMs) of a positive random variable.

Research paper thumbnail of A New Method for Generating Continuous Bivariate Distribution Families

Recently, it has been observed that a new method for generating continuous distributions, T − X f... more Recently, it has been observed that a new method for generating continuous distributions, T − X family, can be quite effectively used to analyze the data in one dimension. The aim of this study is to generalize this method to two dimensional space so that the marginals would have T − X distributions. So, several examples and properties of this family have been presented. As an application, a special distribution of this family, called bivariate Weibull-Rayleigh-Rayleigh, is fitted to a data set and is shown to have a better fit.

Research paper thumbnail of An Application of Discrete Fractional Calculus in Statistics

We introduced generalized random variables of discrete type, studied some of their properties and... more We introduced generalized random variables of discrete type, studied some of their properties and then related these to continuous random variable which has been studied by Ganji and Gharari [8]. With this introduction, we obtained a new relationship between discrete fractional calculus and statistics. Also, the fractional versions of the discrete uniform distribution are developed and their statistical properties are discussed. KEY WORDS: Fractional sum, Fractional difference, Discrete uniform distribution, Generalized random variable. MSC: 60E05, 39A12.

Research paper thumbnail of A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics

Communications in Statistics - Theory and Methods

This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this o... more This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this order, in a setup where the sample size is random, having discrete delta and nabla distributions, we obtain some ordering results involving ordinary and fractional order statistics. Some applications in frailty models and reliability are presented as well.

Research paper thumbnail of Classical and Bayesian estimation of stress-strength reliability in type II censored Pareto distributions

Communications in Statistics - Simulation and Computation

ABSTRACT In this paper, the stress-strength reliability, R, is estimated in type II censored samp... more ABSTRACT In this paper, the stress-strength reliability, R, is estimated in type II censored samples from Pareto distributions. The classical inference includes obtaining the maximum likelihood estimator, an exact confidence interval, and the confidence intervals based on Wald and signed log-likelihood ratio statistics. Bayesian inference includes obtaining Bayes estimator, equi-tailed credible interval, and highest posterior density (HPD) interval given both informative and non-informative prior distributions. Bayes estimator of R is obtained using four methods: Lindley's approximation, Tierney-Kadane method, Monte Carlo integration, and MCMC. Also, we compare the proposed methods by simulation study and provide a real example to illustrate them.

Research paper thumbnail of Bayes and empirical Bayes estimation of parameter k in negative binomial distribution

In this paper, the problem of estimating the number of successes, k, in a negative binomial distr... more In this paper, the problem of estimating the number of successes, k, in a negative binomial distribution for both known and unknown probability p of success are examined by a Bayesian point of view. Also, we introduce two estimations for the parameter of negative bionomial distribution.

Research paper thumbnail of Spatio-Temporal Determinantal Point Processes

SSRN Electronic Journal

Determinantal point processes are models for regular spatial point patterns, with appealing proba... more Determinantal point processes are models for regular spatial point patterns, with appealing probabilistic properties. We present their spatio-temporal counterparts and give examples of these models, based on spatio-temporal covariance functions which are separable and non-separable in space and time.

Research paper thumbnail of A Comparison of Resiliency, Marital Satisfaction and Mental Health in Parents of Children with Learning Disabilities and Normal Children

ديكچ ه : زا فده ح شهوژپ رضا هسياقم بات ي تياضر ،يروآ يناوتان هب لاتبا دوجو اب ناكدوك نيدلاو رد نا... more ديكچ ه : زا فده ح شهوژپ رضا هسياقم بات ي تياضر ،يروآ يناوتان هب لاتبا دوجو اب ناكدوك نيدلاو رد ناور تملاس و ييوشانز يداع و يريگداي هدوب تسا . حرط ،شهوژپ يفيصوت زا عون هسياقم يا تسا . عماج ه ي يرامآ نيا شهوژپ لماش يلك ه ي نيدلاو شناد زومآ نا رتخد و رسپ و يريگداي يناوتان يداع يم دشاب . گ هور لباق هعلاطم 50 رفن زا نيدلاو شناد زومآ نا و يريگداي يناوتان هب لاتبم هورگ لباق هسياقم زين 50 زا رفن نيدلاو شناد يداع نازومآ ليكشت يم دنهد . شور هنومن يريگ هب تروص يفداصت يم دشاب . يارب ليلحت هداد ياه نيا شهوژپ زا ليلحت سنايراو دنچ يريغتم ، ريپ يگتسبمه بيرض نوس دنچ نويسرگر و يريغتم تسا هدش هدافتسا . زا بات سايقم ،نوس ديويد و ورنوك يروآ سايقم تياضر زا يگدنز (CD-RTS9) و همانشسرپ ي تملاس يمومع

Research paper thumbnail of The Weibull–Rayleigh Distribution, Some Properties, and Applications

Journal of Mathematical Sciences, 2016

A new distribution, the Weibull-Rayleigh distribution, is introduced, and various properties of t... more A new distribution, the Weibull-Rayleigh distribution, is introduced, and various properties of the distribution are provided. Two real data sets are used to illustrate the applicability of the Weibull-Rayleigh distribution.

Research paper thumbnail of Hyers-Ulam-Rassias Stability of Functional Equations in Multi Banach Spaces

International Journal of Pure and Apllied Mathematics, 2013

In this paper, we study the generalized Hyers-Ulam-Rassias stability of the additive functional e... more In this paper, we study the generalized Hyers-Ulam-Rassias stability of the additive functional equations f (x + y + z + a) = f (x) + f (y) + f (z) for the mapping f from a linear space into a multi-Banach space. Furthermore, we also establish the asymptotic behavior of the above additive functional equations.

Research paper thumbnail of Generating the Generalized Distributions by Using Fractional Calculus

In this paper, we generalized some statistical distributions by using fractional calculus. The do... more In this paper, we generalized some statistical distributions by using fractional calculus. The domain of parameter space for these distribu- tions was expanded and their PDFs also presented as a product of fractional derivation of Dirac delta function of shape parameter order.

Research paper thumbnail of A New Method For Generating Continuous Bivariate Families

Journal of the Iranian Statistical Society

Recently, it has been observed that a new method for generating continuous distributions, T − X f... more Recently, it has been observed that a new method for generating continuous distributions, T − X family, can be quite effectively used to analyze the data in one dimension. The aim of this study is to generalize this method to two dimensional space so that the marginals would have T − X distributions. So, several examples and properties of this family have been presented. As an application, a special distribution of this family, called bivariate Weibull-Rayleigh-Rayleigh, is fitted to a data set and is shown to have a better fit.

Research paper thumbnail of Comparing Emotional Regulation and Defense Mechanisms in Mothers of Students with and Without Learning Disabilities

Research paper thumbnail of A comparative analysis of black-white and colored numerical concepts organization in the short-term memory of the brain system

For the human to understand his nature, he receives some of its understandable information in the... more For the human to understand his nature, he receives some of its understandable information in the form of memory and remembers it. Information resides in neurons as molecular and ionic events and thus different types of memory are created. The aim of this study was to determine the effect of light waves of different frequencies on human short-term or long-term memory. The software programming for this study was based on previewing numbers in the brain hemispheres. The numbers that emerge in parts of a triple screen are sufficiently low contrast that the eye can put a spin on them so that the yellow spots do not have any number image, and the images resulting from the emergences are only previewable in one brain hemisphere; this is based on the temporal and nasal neural structure of the visual areas. Thus, the numbers only become possible pictures in both hemispheres when they appear in the central part of the triple screen. In series A the reaction time difference between the first ...

Research paper thumbnail of Forecast and Spatiotemporal Analysis of Early and Late Freezing Events of Ardabil Province under Climate Change Conditions

Over recent decades, increase of greenhouse gases has caused disorder in climatic balance of the ... more Over recent decades, increase of greenhouse gases has caused disorder in climatic balance of the Earth which is called climate change phenomenon. The most important consequences of climate change include increase of average temperature of the Earth, increase of extreme climate phenomena such as flood, corn snow, thermal waves and untimely colds. Using different climate models and having climatic forecast based on nature of their long-term time interval play a very valuable role in management of extreme phenomena. This research aims to forecast early and late freezing of Ardabil Province for time periods of 2011-2033, 2046-2065 and 2080-2099. Daily minimum temperature was simulated by using GFDLCM2.1 and HACDM3 models under A2 scenario and the statistical exponential small-scale method LARS-WG. Data used in this research includes elements of precipitation, minimum temperature and sundials on daily scale in stations of Parsabad, Ardabil, Meshginshahr, Sarein and Khalkhal in Ardabil Pr...

Research paper thumbnail of Some Fractional Special Functions and Fractional Moments

In this paper, we introduced a generalized moment generating function (GMGF) and showed that frac... more In this paper, we introduced a generalized moment generating function (GMGF) and showed that fractional moments, that is moments of order nq th of a certain distribution, was expressed in Caputa fractional derivation of GMGF in zero, n bieng a positive integer and 0 < q 1 . The case q = 1 is reduced to the integer moments.

Research paper thumbnail of Generalized Statistical Convergence in the Non-Archimedean L-Fuzzy Normed Spaces(pp.15-22)

Azerbaijan Journal of Mathematics, 2015

In this paper we dene and study generalized statistical convergencein non-Archimedean L-fuzzy no... more In this paper we dene and study generalized statistical convergencein non-Archimedean L-fuzzy normed space. We determine some resultsconcerning the generalized statistical convergence in non-Archimedean L-fuzzynormed spaces. Also we introduce the notion of the generalized statisticallycompleteness in non-Archimedean L-fuzzy normed spaces and we show thatthe non-Archimedean L-fuzzy normed space is generalized statistically complete.

Research paper thumbnail of Bayes Interval Estimation for binomial proportion and difference of two binomial proportions with Simulation Study

This study is considered a number of popular confidence interval for binomial proportion and the ... more This study is considered a number of popular confidence interval for binomial proportion and the difference of two binomial proportions . A new approach is proposed base on Bayesian view for binomial proportion and also for difference of two binomial proportions . The Bayes confidence intervals compared with other confidence intervals of coverage probability and expected length . Based on this analysis , and t he simulation study recommend the Bayes confidence interval of binomial proportion and difference of two binomial proportions for small sample , and show their superior performance from both criteria .

Research paper thumbnail of The beta generalized Rayleigh distribution and its application

In this thesis, the main discussion will be on the beta generalized Rayleigh distribution and the... more In this thesis, the main discussion will be on the beta generalized Rayleigh distribution and the presentation of some of its properties. The beta generalized Rayleigh distribution provides a rather general and flexible framework for statistical analysis of positive data, which provides a better fit than other statistical models in lifetime data analysis. The expansions of the cumulative distribution function and the probability density function using the moments and the moment generating function in addition, the parameters is approached by the method of maximum likelihood and the observed can be discussed in this thesis. Keywords: Generalized Rayleigh distribution, Moments, Moment generating function, Maximum likelihood function.

Research paper thumbnail of Extended TX Family of Distributions

The motivation of the present article is introducing a more general family of distributions calle... more The motivation of the present article is introducing a more general family of distributions called extended T-X distribution. We examine the S-T-X family and T-X-Y family of distributions and then extend such families for any number of random variables n X , n = 0, 1, … ,k, as " the transformers " or random variables n T , n = 0, 1, …, k, as " the transformeds". We call such Families of distributions" extended T-X family of first kind (extended T-X (I))" and " extended T-X family of second kind (extended-X (II))", respectively. Some of their properties and special cases are discussed. Several known continuous distributions presented as members of this family.

Research paper thumbnail of Generalized Fourier Transform for the Generation of Complex Fractional Moments

F ourier transform of fractional order using the Mittag-Leffler-type function and its complex ty... more F ourier transform of fractional order using the Mittag-Leffler-type function and its complex type, was introduced together with its inversion formula. The obtained transform provided a suitable generalization of the characteristic function of random variables. It was shown that complex fractional moments which are complex moments of order nq th of a certain distribution, are equivalent to Caputa fractional derivation of generalized characteristic function (GCF) in origin, n being a positive integer and 0 < q ≤ 1 . The case q=1 was reduced to the complex moments. Finally, after introducing fractional factorial moments of a positive random variable, we presented the relationship between integer moments, fractional moments (FMs) and fractional factorial moments (FFMs) of a positive random variable.

Research paper thumbnail of A New Method for Generating Continuous Bivariate Distribution Families

Recently, it has been observed that a new method for generating continuous distributions, T − X f... more Recently, it has been observed that a new method for generating continuous distributions, T − X family, can be quite effectively used to analyze the data in one dimension. The aim of this study is to generalize this method to two dimensional space so that the marginals would have T − X distributions. So, several examples and properties of this family have been presented. As an application, a special distribution of this family, called bivariate Weibull-Rayleigh-Rayleigh, is fitted to a data set and is shown to have a better fit.

Research paper thumbnail of An Application of Discrete Fractional Calculus in Statistics

We introduced generalized random variables of discrete type, studied some of their properties and... more We introduced generalized random variables of discrete type, studied some of their properties and then related these to continuous random variable which has been studied by Ganji and Gharari [8]. With this introduction, we obtained a new relationship between discrete fractional calculus and statistics. Also, the fractional versions of the discrete uniform distribution are developed and their statistical properties are discussed. KEY WORDS: Fractional sum, Fractional difference, Discrete uniform distribution, Generalized random variable. MSC: 60E05, 39A12.

Research paper thumbnail of A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics

Communications in Statistics - Theory and Methods

This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this o... more This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this order, in a setup where the sample size is random, having discrete delta and nabla distributions, we obtain some ordering results involving ordinary and fractional order statistics. Some applications in frailty models and reliability are presented as well.

Research paper thumbnail of Classical and Bayesian estimation of stress-strength reliability in type II censored Pareto distributions

Communications in Statistics - Simulation and Computation

ABSTRACT In this paper, the stress-strength reliability, R, is estimated in type II censored samp... more ABSTRACT In this paper, the stress-strength reliability, R, is estimated in type II censored samples from Pareto distributions. The classical inference includes obtaining the maximum likelihood estimator, an exact confidence interval, and the confidence intervals based on Wald and signed log-likelihood ratio statistics. Bayesian inference includes obtaining Bayes estimator, equi-tailed credible interval, and highest posterior density (HPD) interval given both informative and non-informative prior distributions. Bayes estimator of R is obtained using four methods: Lindley's approximation, Tierney-Kadane method, Monte Carlo integration, and MCMC. Also, we compare the proposed methods by simulation study and provide a real example to illustrate them.

Research paper thumbnail of Bayes and empirical Bayes estimation of parameter k in negative binomial distribution

In this paper, the problem of estimating the number of successes, k, in a negative binomial distr... more In this paper, the problem of estimating the number of successes, k, in a negative binomial distribution for both known and unknown probability p of success are examined by a Bayesian point of view. Also, we introduce two estimations for the parameter of negative bionomial distribution.