Adnan Awad | The University Of Jordan (original) (raw)

Papers by Adnan Awad

Research paper thumbnail of Higher-derivative terms inN= 2 supersymmetric effective actions

Journal of High Energy Physics, 2003

Research paper thumbnail of Properties of conformable fractional chi-square probability distribution

Journal of Mathematical and Computational Science, 2020

AbstractThe paper introduces conformable fractional analogs of some basic concepts related to pro... more AbstractThe paper introduces conformable fractional analogs of some basic concepts related to probability distributions of random variables, namely density, cumulative distribution, survival and hazard functions. Moreover, it introduces conformable fractional analogs to expected values, rth moments, rth central moments, mean, variance, skewness and kurtosis. In addition, it introduces conformable fractional analogs to some entropy measures, namely, Shannon, Renyi and Tsallis entropy measures together with Awad sup- entropy counter parts of these three measures. All these concepts had been applied to the conformable fractional chi- square probability distribution.

Research paper thumbnail of Theory of Information

Theory of Information, 2009

How Do We Know What Information Is? Information in Society, Information in Nature, Technological ... more How Do We Know What Information Is? Information in Society, Information in Nature, Technological Aspects of Information General Theory of Information: Information Ontology, Information Axiology, Information Typology Information, Data, and Knowledge Emotions and Information Statistical Information Theory: Information and Entropy, Information and Communication in Technical Systems, Quantum Information, Information and Problem Solving, Axiomatization of Information Measurement, Information in Physics Semantic Information Theory: The Three Dimensions of Information, Logic in Information, Knowledge from Information Algorithmic Information Theory: Information and Complexity, Recursive Algorithmic Information Theory, Inductive Algorithmic Information Theory, Relative Information Measures, Axiomatic Information Measures Pragmatic Information Theory: Economic Approach, Mission-Oriented Approach and Value of Information, Transformational Approach, Dynamics of Information: Information Flow, Operator Approach, Information Algebra.

Research paper thumbnail of Uncertainty Analysis With High Dimensional Dependence Modelling

Research paper thumbnail of Applied Statistics in the Pharmaceutical Industry With Case Studies Using S-PLUS

Journal of the American Statistical Association, 2003

... Comparing Two Treatments in a Large Phase III Clinical Trial Michaela Jahn 299 13. Analysis o... more ... Comparing Two Treatments in a Large Phase III Clinical Trial Michaela Jahn 299 13. Analysis of Variance: A Comparison Between SAS and S-PLUS Melvin Olson 321 14. Permutation Tests for Phase III Clinical Trials Vance Berger and Anastasia Ivanova 349 15. ...

Research paper thumbnail of Fractional distributions and probability density functions of random variables generated using FDE

Journal of Mathematical and Computational Science, 2020

Research paper thumbnail of Estimation of multiple correlation coefficient when observations are missing on one of the variables

Communications in Statistics - Theory and Methods, 1987

On propose un estimateur alternatif a celui de Sylvan (1969), base sur la statistique modifiee de... more On propose un estimateur alternatif a celui de Sylvan (1969), base sur la statistique modifiee de Wilks due a Rao (1956)

Research paper thumbnail of ِClusters of Entropy Measures Based on Binomial Distributions

التوجهات الهدفية لدى طلبة جامعة اليرموك و علاقتها بكل من الفاعلية الذاتية و التعلم المنظم ذاتيا =... more التوجهات الهدفية لدى طلبة جامعة اليرموك و علاقتها بكل من الفاعلية الذاتية و التعلم المنظم ذاتيا = Goal orientations Among yarmouk University students and their relationship with Self-Efficacy and self-regulated Iearning، للحصول على النص الكامل يرجى زيارة مكتبة الحسين بن طلال في جامعة اليرموك او زيارة موقعها الالكتروني

Research paper thumbnail of Estimating the mean of a random parameter in reliability models

Research paper thumbnail of The Shannon entropy of generalized gamma and of related distribution

Research paper thumbnail of Prediction interval for future sample mean from an exponential distribution with a shifted parameter

Research paper thumbnail of Optimality Criterion for Progressive Type-II Right Censoring Based on Awad Sup-entropy Measures

Censored sampling arises in life-testing experiments whenever the experimenter does not observe t... more Censored sampling arises in life-testing experiments whenever the experimenter does not observe the failure times of all units placed on a life-test. There are several censoring schemes that have been discussed in literature. In this paper we consider Type-II progressive right censoring scheme where the unit lifetimes follow Pareto distribution with shape and scale parameters ( , ). A new optimality criterion is suggested; it depends on maximizing the efficiency of censored samples based on Awad sup-entropy measures. We find that the optimal censoring scheme is a one step censoring.

Research paper thumbnail of Large sample prediction intervals

Research paper thumbnail of Optimality of Bayesian Estimators: A Comparative Study Based on Exponential Progressive Type II Censored Data

Research paper thumbnail of On Optimal Designs of Some Censoring Schemes

Pakistan Journal of Statistics and Operation Research, 2016

Research paper thumbnail of The Best Sample Size in Approximating Some Sampling Distributions

The Vajda (1973) and Bhattacharyya (1943) information measures are considered as a two different ... more The Vajda (1973) and Bhattacharyya (1943) information measures are considered as a two different types of information measures, parametric and non-parametric respectively. The Vajda information measure depends on a parameter under which a family of measure can be derived from. One main objective of this paper is to look for the best range of and the corresponding range of sample size n under which the random variable belonging to Poisson or binomial distributions can be approximated by a random variable following the normal distribution in the sense of the central limit theorem, and a random variable belonging the Poisson distribution can be approximated by a random variable following the binomial distribution based on the concept of the relative loss in information due to approximation. The same concept of approximating between random variables that belonging to different statistical distributions is applied to Bhattacharyya information measure with the purpose of determining the sample size n for which the relative loss in information measure is less than a given accuracy level .

Research paper thumbnail of Informational Criterion of Censored Data Part I: Progressive Censoring Type II With Application to Pareto Distribution

When applying progressive Type-II right censoring in life-testing experiments, the selection of a... more When applying progressive Type-II right censoring in life-testing experiments, the selection of an optimal censoring scheme is an important issue. In the literature there are several optimality criteria. This paper concentrates on investigating the possibility of using entropy-information measures to design an optimality type-II progressive censoring scheme with an illustrative application to a simple form of Pareto distribution. According to the suggested criterion, a censoring scheme is called optimal if it maximizes an informational efficiency function that is defined as the ratio of available information in the censored sample to the available information in the complete sample. The paper provides mathematical formulas for the efficiency of progressive type-II censoring scheme based on sixteen entropy-information measures. It turns out that all six information measures under consideration do not help in picking an optimal scheme since their values are free of the censoring scheme vector. To select a sup-entropy measure that leads to an optimal scheme, we have designed a Mathematica-7 code that can compute the numerical value for each of the ten sup-entropy measures that are used in this paper. An illustrative numerical example showed that the optimal scheme is a one step censoring from left after observing first failure.

Research paper thumbnail of Prediction interval for the difference between two sample means from exponential populations: A Bayesian treatment

Pakistan Journal of Statistics

ABSTRACT

Research paper thumbnail of Finite termination of the generalized SPRT if the model is incorrect

Research paper thumbnail of Prediction intervals for the r-th order statistic: Acomparative study

Research paper thumbnail of Higher-derivative terms inN= 2 supersymmetric effective actions

Journal of High Energy Physics, 2003

Research paper thumbnail of Properties of conformable fractional chi-square probability distribution

Journal of Mathematical and Computational Science, 2020

AbstractThe paper introduces conformable fractional analogs of some basic concepts related to pro... more AbstractThe paper introduces conformable fractional analogs of some basic concepts related to probability distributions of random variables, namely density, cumulative distribution, survival and hazard functions. Moreover, it introduces conformable fractional analogs to expected values, rth moments, rth central moments, mean, variance, skewness and kurtosis. In addition, it introduces conformable fractional analogs to some entropy measures, namely, Shannon, Renyi and Tsallis entropy measures together with Awad sup- entropy counter parts of these three measures. All these concepts had been applied to the conformable fractional chi- square probability distribution.

Research paper thumbnail of Theory of Information

Theory of Information, 2009

How Do We Know What Information Is? Information in Society, Information in Nature, Technological ... more How Do We Know What Information Is? Information in Society, Information in Nature, Technological Aspects of Information General Theory of Information: Information Ontology, Information Axiology, Information Typology Information, Data, and Knowledge Emotions and Information Statistical Information Theory: Information and Entropy, Information and Communication in Technical Systems, Quantum Information, Information and Problem Solving, Axiomatization of Information Measurement, Information in Physics Semantic Information Theory: The Three Dimensions of Information, Logic in Information, Knowledge from Information Algorithmic Information Theory: Information and Complexity, Recursive Algorithmic Information Theory, Inductive Algorithmic Information Theory, Relative Information Measures, Axiomatic Information Measures Pragmatic Information Theory: Economic Approach, Mission-Oriented Approach and Value of Information, Transformational Approach, Dynamics of Information: Information Flow, Operator Approach, Information Algebra.

Research paper thumbnail of Uncertainty Analysis With High Dimensional Dependence Modelling

Research paper thumbnail of Applied Statistics in the Pharmaceutical Industry With Case Studies Using S-PLUS

Journal of the American Statistical Association, 2003

... Comparing Two Treatments in a Large Phase III Clinical Trial Michaela Jahn 299 13. Analysis o... more ... Comparing Two Treatments in a Large Phase III Clinical Trial Michaela Jahn 299 13. Analysis of Variance: A Comparison Between SAS and S-PLUS Melvin Olson 321 14. Permutation Tests for Phase III Clinical Trials Vance Berger and Anastasia Ivanova 349 15. ...

Research paper thumbnail of Fractional distributions and probability density functions of random variables generated using FDE

Journal of Mathematical and Computational Science, 2020

Research paper thumbnail of Estimation of multiple correlation coefficient when observations are missing on one of the variables

Communications in Statistics - Theory and Methods, 1987

On propose un estimateur alternatif a celui de Sylvan (1969), base sur la statistique modifiee de... more On propose un estimateur alternatif a celui de Sylvan (1969), base sur la statistique modifiee de Wilks due a Rao (1956)

Research paper thumbnail of ِClusters of Entropy Measures Based on Binomial Distributions

التوجهات الهدفية لدى طلبة جامعة اليرموك و علاقتها بكل من الفاعلية الذاتية و التعلم المنظم ذاتيا =... more التوجهات الهدفية لدى طلبة جامعة اليرموك و علاقتها بكل من الفاعلية الذاتية و التعلم المنظم ذاتيا = Goal orientations Among yarmouk University students and their relationship with Self-Efficacy and self-regulated Iearning، للحصول على النص الكامل يرجى زيارة مكتبة الحسين بن طلال في جامعة اليرموك او زيارة موقعها الالكتروني

Research paper thumbnail of Estimating the mean of a random parameter in reliability models

Research paper thumbnail of The Shannon entropy of generalized gamma and of related distribution

Research paper thumbnail of Prediction interval for future sample mean from an exponential distribution with a shifted parameter

Research paper thumbnail of Optimality Criterion for Progressive Type-II Right Censoring Based on Awad Sup-entropy Measures

Censored sampling arises in life-testing experiments whenever the experimenter does not observe t... more Censored sampling arises in life-testing experiments whenever the experimenter does not observe the failure times of all units placed on a life-test. There are several censoring schemes that have been discussed in literature. In this paper we consider Type-II progressive right censoring scheme where the unit lifetimes follow Pareto distribution with shape and scale parameters ( , ). A new optimality criterion is suggested; it depends on maximizing the efficiency of censored samples based on Awad sup-entropy measures. We find that the optimal censoring scheme is a one step censoring.

Research paper thumbnail of Large sample prediction intervals

Research paper thumbnail of Optimality of Bayesian Estimators: A Comparative Study Based on Exponential Progressive Type II Censored Data

Research paper thumbnail of On Optimal Designs of Some Censoring Schemes

Pakistan Journal of Statistics and Operation Research, 2016

Research paper thumbnail of The Best Sample Size in Approximating Some Sampling Distributions

The Vajda (1973) and Bhattacharyya (1943) information measures are considered as a two different ... more The Vajda (1973) and Bhattacharyya (1943) information measures are considered as a two different types of information measures, parametric and non-parametric respectively. The Vajda information measure depends on a parameter under which a family of measure can be derived from. One main objective of this paper is to look for the best range of and the corresponding range of sample size n under which the random variable belonging to Poisson or binomial distributions can be approximated by a random variable following the normal distribution in the sense of the central limit theorem, and a random variable belonging the Poisson distribution can be approximated by a random variable following the binomial distribution based on the concept of the relative loss in information due to approximation. The same concept of approximating between random variables that belonging to different statistical distributions is applied to Bhattacharyya information measure with the purpose of determining the sample size n for which the relative loss in information measure is less than a given accuracy level .

Research paper thumbnail of Informational Criterion of Censored Data Part I: Progressive Censoring Type II With Application to Pareto Distribution

When applying progressive Type-II right censoring in life-testing experiments, the selection of a... more When applying progressive Type-II right censoring in life-testing experiments, the selection of an optimal censoring scheme is an important issue. In the literature there are several optimality criteria. This paper concentrates on investigating the possibility of using entropy-information measures to design an optimality type-II progressive censoring scheme with an illustrative application to a simple form of Pareto distribution. According to the suggested criterion, a censoring scheme is called optimal if it maximizes an informational efficiency function that is defined as the ratio of available information in the censored sample to the available information in the complete sample. The paper provides mathematical formulas for the efficiency of progressive type-II censoring scheme based on sixteen entropy-information measures. It turns out that all six information measures under consideration do not help in picking an optimal scheme since their values are free of the censoring scheme vector. To select a sup-entropy measure that leads to an optimal scheme, we have designed a Mathematica-7 code that can compute the numerical value for each of the ten sup-entropy measures that are used in this paper. An illustrative numerical example showed that the optimal scheme is a one step censoring from left after observing first failure.

Research paper thumbnail of Prediction interval for the difference between two sample means from exponential populations: A Bayesian treatment

Pakistan Journal of Statistics

ABSTRACT

Research paper thumbnail of Finite termination of the generalized SPRT if the model is incorrect

Research paper thumbnail of Prediction intervals for the r-th order statistic: Acomparative study

Research paper thumbnail of 1978 Martingale Approach Ph D Thesis at Yale University.pdf

This thesis derives conditional central limit theorems to martingales and apply them to obtain n... more This thesis derives conditional central limit theorems to martingales and apply them to obtain new results about asymptotic normality of posterior distributions.

Research paper thumbnail of 1978 Martingale Approach Ph D Thesis at Yale University.pdf

The thesis derives conditional martingale central limit theorems and applies them to the problem ... more The thesis derives conditional martingale central limit theorems and applies them to the problem of asymptotic normality of posterior distributions.