Rana Muhammad Usman - Academia.edu (original) (raw)

Papers by Rana Muhammad Usman

gazi university journal of science, Mar 21, 2016

Modeling Earth Systems and Environment, Jul 24, 2020

Research Square (Research Square), Sep 27, 2022

A Country's progress and development are mainly dependent on its indigenous energy supply capacit... more A Country's progress and development are mainly dependent on its indigenous energy supply capacity. For the past few decades, Pakistan is facing a severe energy crisis mainly due to political instability and a lack of renewable energy policies designed by the present as well as previous governments. According to Pakistan economic survey 2019-20, still, there is a shortfall of about 3000MW in the electrical sector for the summer of 2020. Wind speed models can be utilized for developing effective policies for the production of e cient renewable resources. In this study, power Burr X distribution was utilized as an alternative probabilistic model for the better evaluation of wind energy potential. The performance of the model is observed for wind speed data taken from different locations of Sindh province in Pakistan. The ndings indicate that the power Burr X distribution is more preferable for the evaluation of wind speed potential as compared to Weibull and other wind speed distributions.

Annals of Data Science, Jan 28, 2019

International Journal of Statistics and Economics, Jan 15, 2018

This study presents a new distribution named as McDonald power function (McPF) distribution which... more This study presents a new distribution named as McDonald power function (McPF) distribution which extends power function distribution to increase the flexibility of model. The proposed distribution is a generalized form of numerous distributions such as power function, exponentiated power function, Kumaraswamy power function and beta power function distribution discussed in the literature. We derive some fundamental properties including ordinary moments, moment generating function, mode, entropy and order statistics. Reliability analysis is also performed and explains different behavior of the model. Parameters are obtained via maximum likelihood estimation method to fit new model and show its potentiality with three applications to real data sets.

A Country’s progress and development are mainly dependent on its indigenous energy supply capacit... more A Country’s progress and development are mainly dependent on its indigenous energy supply capacity. For the past few decades, Pakistan is facing a severe energy crisis mainly due to political instability and a lack of renewable energy policies designed by the present as well as previous governments. According to Pakistan economic survey 2019-20, still, there is a shortfall of about 3000MW in the electrical sector for the summer of 2020. Wind speed models can be utilized for developing effective policies for the production of efficient renewable resources. In this study, power Burr X distribution was utilized as an alternative probabilistic model for the better evaluation of wind energy potential. The performance of the model is observed for wind speed data taken from different locations of Sindh province in Pakistan. The findings indicate that the power Burr X distribution is more preferable for the evaluation of wind speed potential as compared to Weibull and other wind speed distr...

International journal of applied mathematics and statistics, 2019

A new extension of Burr type X distribution named as the odd log-logistic Burr X distribution is ... more A new extension of Burr type X distribution named as the odd log-logistic Burr X distribution is proposed. Explicit expressions for important properties such as quantile function, moments, entropy, stress-strength reliability, moment of order statistics, stochastic ordering and shapes of this distribution are provided to enable mathematical treatment. Performance of estimation technique used for model parameters estimation is numerically investigated employing Monte Carlo simulation with different sample sizes and parameter combinations. To justify the usefulness of the proposed distribution in real life reliability engineering examples two data modeling are presented. Findings form these applications has clearly suggested the enhanced ability of the proposed model in adjustment of the considered data sets.

gazi university journal of science, 2018

This paper introduces a new generalization of Transmuted Power Function distribution named as Exp... more This paper introduces a new generalization of Transmuted Power Function distribution named as Exponentiated Transmuted Power Function distribution with its fundamental properties. The expressions of failure and survival rate functions on the basis of their graphs are provided. We compute moments, moment generating function, quantile function. Then, Renyi entropy is discussed and the expressions of the order statistics are derived. Parameters of the proposed distribution are estimated using the maximum likelihood method. Real lifetime data application shows the flexibility of the proposed distribution and its better fit as compared to some existing models.

Journal of Statistics Applications & Probability, 2017

This study elucidates a three-parameter probabilistic model generalized from Kumaraswamy family u... more This study elucidates a three-parameter probabilistic model generalized from Kumaraswamy family using half logistic distribution as a baseline model named as Kumaraswamy half logistic distribution. The properties of the observed model are also explored. Further, we explain the behavior of failure rate, cumulative failure rate, and survival rate functions. Monte Carlo simulation study is being conducted to estimate the parameters under ML estimation method. Moreover, two practical applications illustrate the flexibility and better fit of the observed model.

Electronic Journal of Applied Statistical Analysis, 2019

This paper introduces a generalization of moment exponential distribution so called Kumaraswamy M... more This paper introduces a generalization of moment exponential distribution so called Kumaraswamy Moment Exponential (KwME) distribution. The limit behaviour of its density and hazard functions are described. Some properties of the proposed distribution are discussed including moments, skewness, kurtosis, quantile function, and mode. Characterizations based on truncated moments and hazard function are presented. Renyi and q-entropies, mean residual life (MRL) and mean inactivity time (MIT) of X, and order statistics are determined. The maximum likelihood estimation (MLE) is used to estimate the model parameters. Two real data sets are used to compare the KwME distribution with other competitive models and concluded that it could serve as a better alternative lifetime distribution than existing well known models.

This study presents a new distribution named as McDonald power function (McPF) distribution which... more This study presents a new distribution named as McDonald power function (McPF) distribution which extends power function distribution to increase the flexibility of model. The proposed distribution is a generalized form of numerous distributions such as power function, exponentiated power function, Kumaraswamy power function and beta power function distribution discussed in the literature. We derive some fundamental properties including ordinary moments, moment generating function, mode, entropy and order statistics. Reliability analysis is also performed and explains different behavior of the model. Parameters are obtained via maximum likelihood estimation method to fit new model and show its potentiality with three applications to real data sets.

Pakistan Journal of Statistics and Operation Research, 2021

We study a new continuous distribution called the Marshall-Olkin modified Burr III distribution. ... more We study a new continuous distribution called the Marshall-Olkin modified Burr III distribution. The density function of the proposed model can be expressed as a mixture of modified Burr III densities. A comprehensive account of its mathematical properties is derived. The model parameters are estimated by the method of maximum likelihood. The usefulness of the derived model is illustrated over other distributions using a real data set.

Modeling Earth Systems and Environment, 2021

Information on wind speed and wind power distribution is significant for a few reasons, for examp... more Information on wind speed and wind power distribution is significant for a few reasons, for example, surveying wind assets, arranging wind cultivates, and limiting the liabilities for wind power improvement. This study provided an application of a new generalization of two-parameter generalized inverse Lindley distribution using the Marshall–Olkin family for analyzing wind speed and wind power characteristics. Some mathematical properties of the new distribution were studied. We had observed the suitability of new distribution as compared to the other well-known wind speed distributions such as Weibull, inverse exponential, inverted Kumaraswamy, inverse Weibull, inverse Lindley, and generalized inverse Lindley distribution. For this purpose, the time-based wind speed data is taken from the four stations of Pakistan as a case study. We conclude based on certain goodness of fit criteria that the newly developed distribution has a better fit as compared to the other wind speed distributions. Therefore, the new model can be used as an alternative distribution for the assessment of wind speed energy potential.

Journal of Statistics and Management Systems, 2020

Abstract In this paper, a new class for generating lifetime distributions is introduced, called g... more Abstract In this paper, a new class for generating lifetime distributions is introduced, called generalized Burr XII (GBXII) family of distributions. Numerous properties of the GBXII distribution are discussed such as probability distribution functions, hazard rate function, and moments. The performance of proposed distribution is compared with many other existing statistical distributions in terms of mean square error and goodness of fit. The applications on the proposed distribution are discussed with the aid of real life examples. The results emphasize that the GBXII distribution can be considered as a competitive model for many other distributions.

Modeling Earth Systems and Environment, 2020

The most suitable energy source for human use is wind energy which is inexpensive and supports to... more The most suitable energy source for human use is wind energy which is inexpensive and supports to fulfill the energy demand of the large population. In Pakistan, different wind energy projects are under progress in different potential sites to deal with the energy crises and environmental pollution. Therefore, it is need of the hour to identify all the wind energy potential sites in Pakistan. For that purpose, different wind speed distributions are used. The wind speed distribution is described by the application of probability density functions (pdfs) to evaluate the wind energy potential. The two-parameter Weibull probability density function is used extensively for the applications of wind energy. In this study, we studied the hourly wind speed data for the period of 2017–18 from five different locations in Pakistan is selected for modeling using specific pdfs. The models consist of parametric models that are used for this purpose. The log-likelihood, AIC, BIC, RMSE (root mean square error) and R2 (coefficient of determination) provides the basis for the evaluation of wind speed data with the application of suitable distribution. Results indicate that, Gamma and extreme value distributions provide generally the best fit to the wind speed data for all stations.

Journal of King Saud University - Science, 2018

Abstract A new three parametric distribution is proposed and analyzed, termed as the Marshall-Olk... more Abstract A new three parametric distribution is proposed and analyzed, termed as the Marshall-Olkin extended inverted Kumaraswamy (MOEIK) distribution. This generalization has some renowned sub models such as the Beta type II, the Lomax and the Fisk distribution, stated in literature. Study includes the basic properties of the observed probabilistic model. Explicit expressions for major mathematical properties of this distribution such as quantile function, complete and incomplete moments, entropies and moments of order statistic are derived. Maximum likelihood estimation method is used to estimate the parameters. For different parameter values, a number of simulation studies are conducted for different sample sizes and compare the performance of the MOEIK distribution. Three real life applications are provided to explain the potentiality and reliability of the extended distribution with confidence that the generalized model have wider applications in hydrology and the associated fields.

Annals of Data Science, 2019

In this article we consider a four parameter extended Burr-III distribution and study some distri... more In this article we consider a four parameter extended Burr-III distribution and study some distributional, reliability properties and parameter estimation. Performance of estimation technique used for model parameters estimation is numerically investigated employing Monte Carlo simulation with different sample sizes and parameter values. Efficacy of this distribution in modelling one failure time data is evaluated in comparison to some existing extensions of Bur-III distribution employing well known goodness of fit tests and model selection criteria. Our findings show the proposed distribution as the best among the all the other extensions of Burr-III distribution considered in this study.

Annals of Data Science, 2019

AbstractIn this study, a univariate model named as Odd Burr III Weibull distribution is developed... more AbstractIn this study, a univariate model named as Odd Burr III Weibull distribution is developed. This study explains the behavior of the newly developed model and also presents its failure and survival rate functions. Moreover, some unambiguous expression for ordinary moments, moment generating function, incomplete moments, random number generator, mean deviation, entropies and order statistic are provided in this paper. We also discuss the estimation of parameters by using maximum likelihood estimation method. Finally, two real life applications are also provided to observe the flexibility of observed model as compared to some existing models.

gazi university journal of science, Mar 21, 2016

Modeling Earth Systems and Environment, Jul 24, 2020

Research Square (Research Square), Sep 27, 2022

A Country's progress and development are mainly dependent on its indigenous energy supply capacit... more A Country's progress and development are mainly dependent on its indigenous energy supply capacity. For the past few decades, Pakistan is facing a severe energy crisis mainly due to political instability and a lack of renewable energy policies designed by the present as well as previous governments. According to Pakistan economic survey 2019-20, still, there is a shortfall of about 3000MW in the electrical sector for the summer of 2020. Wind speed models can be utilized for developing effective policies for the production of e cient renewable resources. In this study, power Burr X distribution was utilized as an alternative probabilistic model for the better evaluation of wind energy potential. The performance of the model is observed for wind speed data taken from different locations of Sindh province in Pakistan. The ndings indicate that the power Burr X distribution is more preferable for the evaluation of wind speed potential as compared to Weibull and other wind speed distributions.

Annals of Data Science, Jan 28, 2019

International Journal of Statistics and Economics, Jan 15, 2018

This study presents a new distribution named as McDonald power function (McPF) distribution which... more This study presents a new distribution named as McDonald power function (McPF) distribution which extends power function distribution to increase the flexibility of model. The proposed distribution is a generalized form of numerous distributions such as power function, exponentiated power function, Kumaraswamy power function and beta power function distribution discussed in the literature. We derive some fundamental properties including ordinary moments, moment generating function, mode, entropy and order statistics. Reliability analysis is also performed and explains different behavior of the model. Parameters are obtained via maximum likelihood estimation method to fit new model and show its potentiality with three applications to real data sets.

A Country’s progress and development are mainly dependent on its indigenous energy supply capacit... more A Country’s progress and development are mainly dependent on its indigenous energy supply capacity. For the past few decades, Pakistan is facing a severe energy crisis mainly due to political instability and a lack of renewable energy policies designed by the present as well as previous governments. According to Pakistan economic survey 2019-20, still, there is a shortfall of about 3000MW in the electrical sector for the summer of 2020. Wind speed models can be utilized for developing effective policies for the production of efficient renewable resources. In this study, power Burr X distribution was utilized as an alternative probabilistic model for the better evaluation of wind energy potential. The performance of the model is observed for wind speed data taken from different locations of Sindh province in Pakistan. The findings indicate that the power Burr X distribution is more preferable for the evaluation of wind speed potential as compared to Weibull and other wind speed distr...

International journal of applied mathematics and statistics, 2019

A new extension of Burr type X distribution named as the odd log-logistic Burr X distribution is ... more A new extension of Burr type X distribution named as the odd log-logistic Burr X distribution is proposed. Explicit expressions for important properties such as quantile function, moments, entropy, stress-strength reliability, moment of order statistics, stochastic ordering and shapes of this distribution are provided to enable mathematical treatment. Performance of estimation technique used for model parameters estimation is numerically investigated employing Monte Carlo simulation with different sample sizes and parameter combinations. To justify the usefulness of the proposed distribution in real life reliability engineering examples two data modeling are presented. Findings form these applications has clearly suggested the enhanced ability of the proposed model in adjustment of the considered data sets.

gazi university journal of science, 2018

This paper introduces a new generalization of Transmuted Power Function distribution named as Exp... more This paper introduces a new generalization of Transmuted Power Function distribution named as Exponentiated Transmuted Power Function distribution with its fundamental properties. The expressions of failure and survival rate functions on the basis of their graphs are provided. We compute moments, moment generating function, quantile function. Then, Renyi entropy is discussed and the expressions of the order statistics are derived. Parameters of the proposed distribution are estimated using the maximum likelihood method. Real lifetime data application shows the flexibility of the proposed distribution and its better fit as compared to some existing models.

Journal of Statistics Applications & Probability, 2017

This study elucidates a three-parameter probabilistic model generalized from Kumaraswamy family u... more This study elucidates a three-parameter probabilistic model generalized from Kumaraswamy family using half logistic distribution as a baseline model named as Kumaraswamy half logistic distribution. The properties of the observed model are also explored. Further, we explain the behavior of failure rate, cumulative failure rate, and survival rate functions. Monte Carlo simulation study is being conducted to estimate the parameters under ML estimation method. Moreover, two practical applications illustrate the flexibility and better fit of the observed model.

Electronic Journal of Applied Statistical Analysis, 2019

This paper introduces a generalization of moment exponential distribution so called Kumaraswamy M... more This paper introduces a generalization of moment exponential distribution so called Kumaraswamy Moment Exponential (KwME) distribution. The limit behaviour of its density and hazard functions are described. Some properties of the proposed distribution are discussed including moments, skewness, kurtosis, quantile function, and mode. Characterizations based on truncated moments and hazard function are presented. Renyi and q-entropies, mean residual life (MRL) and mean inactivity time (MIT) of X, and order statistics are determined. The maximum likelihood estimation (MLE) is used to estimate the model parameters. Two real data sets are used to compare the KwME distribution with other competitive models and concluded that it could serve as a better alternative lifetime distribution than existing well known models.

This study presents a new distribution named as McDonald power function (McPF) distribution which... more This study presents a new distribution named as McDonald power function (McPF) distribution which extends power function distribution to increase the flexibility of model. The proposed distribution is a generalized form of numerous distributions such as power function, exponentiated power function, Kumaraswamy power function and beta power function distribution discussed in the literature. We derive some fundamental properties including ordinary moments, moment generating function, mode, entropy and order statistics. Reliability analysis is also performed and explains different behavior of the model. Parameters are obtained via maximum likelihood estimation method to fit new model and show its potentiality with three applications to real data sets.

Pakistan Journal of Statistics and Operation Research, 2021

We study a new continuous distribution called the Marshall-Olkin modified Burr III distribution. ... more We study a new continuous distribution called the Marshall-Olkin modified Burr III distribution. The density function of the proposed model can be expressed as a mixture of modified Burr III densities. A comprehensive account of its mathematical properties is derived. The model parameters are estimated by the method of maximum likelihood. The usefulness of the derived model is illustrated over other distributions using a real data set.

Modeling Earth Systems and Environment, 2021

Information on wind speed and wind power distribution is significant for a few reasons, for examp... more Information on wind speed and wind power distribution is significant for a few reasons, for example, surveying wind assets, arranging wind cultivates, and limiting the liabilities for wind power improvement. This study provided an application of a new generalization of two-parameter generalized inverse Lindley distribution using the Marshall–Olkin family for analyzing wind speed and wind power characteristics. Some mathematical properties of the new distribution were studied. We had observed the suitability of new distribution as compared to the other well-known wind speed distributions such as Weibull, inverse exponential, inverted Kumaraswamy, inverse Weibull, inverse Lindley, and generalized inverse Lindley distribution. For this purpose, the time-based wind speed data is taken from the four stations of Pakistan as a case study. We conclude based on certain goodness of fit criteria that the newly developed distribution has a better fit as compared to the other wind speed distributions. Therefore, the new model can be used as an alternative distribution for the assessment of wind speed energy potential.

Journal of Statistics and Management Systems, 2020

Abstract In this paper, a new class for generating lifetime distributions is introduced, called g... more Abstract In this paper, a new class for generating lifetime distributions is introduced, called generalized Burr XII (GBXII) family of distributions. Numerous properties of the GBXII distribution are discussed such as probability distribution functions, hazard rate function, and moments. The performance of proposed distribution is compared with many other existing statistical distributions in terms of mean square error and goodness of fit. The applications on the proposed distribution are discussed with the aid of real life examples. The results emphasize that the GBXII distribution can be considered as a competitive model for many other distributions.

Modeling Earth Systems and Environment, 2020

The most suitable energy source for human use is wind energy which is inexpensive and supports to... more The most suitable energy source for human use is wind energy which is inexpensive and supports to fulfill the energy demand of the large population. In Pakistan, different wind energy projects are under progress in different potential sites to deal with the energy crises and environmental pollution. Therefore, it is need of the hour to identify all the wind energy potential sites in Pakistan. For that purpose, different wind speed distributions are used. The wind speed distribution is described by the application of probability density functions (pdfs) to evaluate the wind energy potential. The two-parameter Weibull probability density function is used extensively for the applications of wind energy. In this study, we studied the hourly wind speed data for the period of 2017–18 from five different locations in Pakistan is selected for modeling using specific pdfs. The models consist of parametric models that are used for this purpose. The log-likelihood, AIC, BIC, RMSE (root mean square error) and R2 (coefficient of determination) provides the basis for the evaluation of wind speed data with the application of suitable distribution. Results indicate that, Gamma and extreme value distributions provide generally the best fit to the wind speed data for all stations.

Journal of King Saud University - Science, 2018

Abstract A new three parametric distribution is proposed and analyzed, termed as the Marshall-Olk... more Abstract A new three parametric distribution is proposed and analyzed, termed as the Marshall-Olkin extended inverted Kumaraswamy (MOEIK) distribution. This generalization has some renowned sub models such as the Beta type II, the Lomax and the Fisk distribution, stated in literature. Study includes the basic properties of the observed probabilistic model. Explicit expressions for major mathematical properties of this distribution such as quantile function, complete and incomplete moments, entropies and moments of order statistic are derived. Maximum likelihood estimation method is used to estimate the parameters. For different parameter values, a number of simulation studies are conducted for different sample sizes and compare the performance of the MOEIK distribution. Three real life applications are provided to explain the potentiality and reliability of the extended distribution with confidence that the generalized model have wider applications in hydrology and the associated fields.

Annals of Data Science, 2019

In this article we consider a four parameter extended Burr-III distribution and study some distri... more In this article we consider a four parameter extended Burr-III distribution and study some distributional, reliability properties and parameter estimation. Performance of estimation technique used for model parameters estimation is numerically investigated employing Monte Carlo simulation with different sample sizes and parameter values. Efficacy of this distribution in modelling one failure time data is evaluated in comparison to some existing extensions of Bur-III distribution employing well known goodness of fit tests and model selection criteria. Our findings show the proposed distribution as the best among the all the other extensions of Burr-III distribution considered in this study.

Annals of Data Science, 2019

AbstractIn this study, a univariate model named as Odd Burr III Weibull distribution is developed... more AbstractIn this study, a univariate model named as Odd Burr III Weibull distribution is developed. This study explains the behavior of the newly developed model and also presents its failure and survival rate functions. Moreover, some unambiguous expression for ordinary moments, moment generating function, incomplete moments, random number generator, mean deviation, entropies and order statistic are provided in this paper. We also discuss the estimation of parameters by using maximum likelihood estimation method. Finally, two real life applications are also provided to observe the flexibility of observed model as compared to some existing models.