Article
Physics, Multidisciplinary
Ahmed Z. Afify, Ahmed M. Gemeay, Nada M. Alfaer, Gauss M. Cordeiro, Eslam H. Hafez
Summary: This paper introduces a new distribution called the power-modified Kies-exponential (PMKE) distribution and investigates its mathematical properties. The parameters of this distribution are estimated using seven classical methods and Bayesian estimation methods. Simulation results are provided to examine the performance of these estimators and the best estimation approach is determined based on ranking. The proposed distribution can be used to model a real-life turbocharger dataset and is compared with 24 extensions of the exponential distribution.
Article
Multidisciplinary Sciences
Mashail M. Al Sobhi
Summary: The present article introduces a new distribution called the odd log-logistic Lindley-Weibull (OLLLW) distribution that provides greater flexibility in modeling data in applied areas such as medicine and engineering. The OLLLW model provides various types of density functions and its parameters can be estimated using different classical estimators. The performance of the OLLLW distribution is explored through simulation results and real data analysis, demonstrating its effectiveness in fitting data.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE
(2022)
Article
Mathematics, Applied
Eid A. A. Hassan, Mohammed Elgarhy, Eman A. Eldessouky, Osama H. Mahmoud Hassan, Essam A. Amin, Ehab M. Almetwally
Summary: In this article, a new statistical model called type II exponentiated half-logistic-PLo (TIIEHL-PLo) model is introduced by combining the type II exponentiated half-logistic class of statistical models and the PLo model. The TIIEHL-PLo model is more flexible and applicable than the PLo model and its extensions, especially in environmental and medical fields. Various estimation approaches are utilized to estimate the parameters of the TIIEHL-PLo model, and the simulation experiment validates the accuracy of the model parameters. Real datasets from environmental and medical fields are analyzed to demonstrate the relevance and adaptability of the proposed approach. The newly suggested model is exceptionally adaptable and outperforms several well-known statistical models.
Article
Economics
Lu Lu, Sujit K. Ghosh
Summary: This article introduces a parametric-free approach to estimate copula and test for PQD property, which is fully data-dependent. The method is shown to be large-sample consistent under a set of mild regularity conditions. Numerical illustrations based on simulated data and applications to real case studies are also provided.
JOURNAL OF BUSINESS & ECONOMIC STATISTICS
(2022)
Article
Statistics & Probability
Sana Chouia, Nacira Seddik-Ameur
Summary: This paper provides tables of modified goodness-of-fit critical values for different sample sizes, which are used in evaluating the fit of the competing risks model of Bertholon in describing the reliability of real systems and the survival time of patients in medical studies.
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Selim Orhun Susam, Burcu Hudaverdi
Summary: In this study, a nonparametric test of independence based on a weighted Cramer-von Mises distance of the Bernstein estimate of the Kendall distribution function is introduced. The power and size of the new weighted test are examined and compared with non-weighted nonparametric tests of independence using Monte Carlo simulation. The results indicate that the choice of weights and polynomial degree significantly affects the test power. Finally, the method is applied to a dataset on chemical elements in water samples for illustration.
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
(2023)
Article
Computer Science, Artificial Intelligence
Badr Alnssyan, Ekramy A. Hussein, Morad Alizadeh, Ahmed Z. Afify, Ashraf D. Abdellatif
Summary: We propose a new wider family called the weighted Lindley-G family and study its mathematical properties and special sub-models. We explore the estimation of model parameters using eight different approaches and compare their performance through detailed simulations, providing a guideline for selecting the best approach. Two real-life data applications demonstrate the potential of the new family, showing its greater flexibility compared to commonly cited families in distribution theory literature such as the exponentiated-G, beta-G, transmuted-G, and alpha-power-G families under the same baseline model.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2023)
Article
Statistics & Probability
Mohammed Amine Meraou, Mohammad Z. Raqab
Summary: This paper introduces a compound zero-truncated Poisson-Lindley distribution with two parameters, and discusses its various statistical properties. Different estimation methods for the unknown parameters in the model are described, and numerical simulation experiments are conducted to evaluate the performance of the estimators. The potential of the model is studied using real data on monthly highest snowfall from February 2018.
JOURNAL OF STATISTICAL THEORY AND APPLICATIONS
(2021)
Article
Mathematics
Heba F. Nagy, Amer Ibrahim Al-Omari, Amal S. Hassan, Ghadah A. Alomani
Summary: This article discusses the application of ranked set sampling in the estimation of inverted Kumaraswamy distribution parameters. Through simulation studies and real data application, it is demonstrated that the RSS-based estimators outperform their simple random sampling counterparts.
Article
Statistics & Probability
SidAhmed Benchiha, Amer Ibrahim Al-Omari
Summary: In this paper, a new continuous two parameters generalized quasi Lindley distribution (GQLD) is suggested. The comprehensive statistical properties and parameter estimation methods of the GQLD are provided. The simulation study and data analysis results demonstrate that the GQLD can provide better fits than other distributions.
ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS
(2022)
Article
Multidisciplinary Sciences
Abdulhakim A. Al-Babtain, Devendra Kumar, Ahmed M. Gemeay, Sanku Dey, Ahmed Z. Afify
Summary: This paper introduces a new distribution WMOPL to model engineering related data, which shows better performance and flexibility compared to some well-known extensions of the Power-Lindley and Lindley distributions. Seven estimation methods are considered to estimate WMOPL parameters, and a simulation study is conducted to evaluate their performance. The study demonstrates the superior performance and flexibility of the introduced distribution through real data application.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE
(2021)
Article
Statistics & Probability
Mohamed Ibrahim, Khaoula Aidi, Mir Masoom Ali, Haitham M. Yousof
Summary: A modified Bagdonavicius-Nikulin chi-square goodness-of-fit is defined and studied in this paper. The modified goodness-of-fit test statistic is applied to analyze the lymphoma data. Different non-Bayesian estimation methods under complete samples schemes, including maximum likelihood least square estimation method, Cramer-von Mises estimation method, weighted least square estimation method, left tail-Anderson Darling estimation method, and right tail Anderson Darling estimation method, are considered, discussed, and compared. Numerical simulation studies are conducted to compare these estimation methods. The potential of the new model is illustrated through the analysis of three real data sets and its comparison with other well-known generalizations.
COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS
(2022)
Article
Chemistry, Multidisciplinary
Khaoula Aidi, Amer Ibrahim Al-Omari, Rehab Alsultan
Summary: A new two-parameter power Zeghdoudi distribution (PZD) is proposed as a modification of the Zeghdoudi distribution using the power transformation method. The PZD distribution can have increasing, decreasing, and unimodal probability density function and decreasing mean residual life function, along with various other properties such as moments, order statistics, reliability measures, and quantile function. The performance of the proposed model is evaluated through a simulation study, and it is found to be superior to competing models in terms of established criteria.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics
Anum Shafiq, Tabassum Naz Sindhu, Sanku Dey, Showkat Ahmad Lone, Tahani A. A. Abushal
Summary: In this study, a new three-parameter lifetime model, named the half-logistic unit Gompertz type-I distribution, is proposed by combining the type-I half-logistic G family and the unit-Gompertz model. The novel model adds a new tuning parameter to make the unit-Gompertz model more flexible. Diagrams and numerical results are used to analyze the mathematical and statistical aspects of the new model. The efficiency of distribution parameter estimation is evaluated using various classical methodologies.
Article
Multidisciplinary Sciences
Badr Alnssyan
Summary: This paper introduces a flexible three-parameter extension of the Lomax model called the odd Lomax-Lomax (OLxLx) distribution, which can provide various shapes of densities and hazard rate shapes. The mathematical properties of the introduced model are derived and the OLxLx parameters are estimated using eight estimation methods. The performance of these estimation methods is explored through simulation studies and the superiority of the OLxLx distribution over other Lomax distributions is demonstrated using real-life medicine data.
Article
Computer Science, Interdisciplinary Applications
M. S. Shama, Sanku Dey, Emrah Altun, Ahmed Z. Afify
Summary: In this article, the authors introduce a new model called Gamma-Gompertz (GGo) distribution, which outperforms other competing distributions in terms of fit. They explore the properties of the GGo distribution and validate its effectiveness through simulation and real data analysis.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Multidisciplinary Sciences
Ahmed Z. Afify, Hazem Al-Mofleh, Hassan M. Aljohani, Gauss M. Cordeiro
Summary: A new extended Weibull-H family is defined and its mathematical properties are examined. The study demonstrates that this family is highly competitive compared to the beta-G and Kumaraswamy-G classes, which are widely cited in Google Scholar. The flexibility of a specified sub-model is confirmed through two applications using COVID-19 data.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE
(2022)
Article
Mathematics
Alya Al Mutairi, Muhammad Z. Iqbal, Muhammad Z. Arshad, Ahmed Z. Afify
Summary: In this study, a new class of distributions called the new exponentiated-G class is developed for generating optimal univariate models. Various statistical properties of the newly introduced exponentiated power function (EPF) distribution are derived and discussed. The applicability of this new class is evaluated by analyzing data from the automotive engineering sector.
JOURNAL OF MATHEMATICS
(2022)
Article
Physics, Multidisciplinary
Ahmed Z. Afify, Ahmed M. Gemeay, Nada M. Alfaer, Gauss M. Cordeiro, Eslam H. Hafez
Summary: This paper introduces a new distribution called the power-modified Kies-exponential (PMKE) distribution and investigates its mathematical properties. The parameters of this distribution are estimated using seven classical methods and Bayesian estimation methods. Simulation results are provided to examine the performance of these estimators and the best estimation approach is determined based on ranking. The proposed distribution can be used to model a real-life turbocharger dataset and is compared with 24 extensions of the exponential distribution.
Article
Multidisciplinary Sciences
Ahmed Z. Afify, Muhammad Ahsan-ul-Haq, Hassan M. Aljohani, Abdulaziz S. Alghamdi, Ayesha Babar, Hector W. Gomez
Summary: This paper introduces a new one-parameter discrete length-biased exponential distribution called the discrete moment exponential (DMEx) distribution using the survival discretizing approach. The reliability measures of the DMEx distribution are derived, and the parameters are estimated using seven estimation methods. A simulation study demonstrates that the maximum likelihood approach provides efficient estimates. Finally, the DMEx distribution is adopted to fit the number of COVID-19 deaths in China and Europe countries, showing a better fit compared to other competing discrete distributions.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE
(2022)
Article
Public, Environmental & Occupational Health
Dost Muhammad Khan, Muhammad Ali, Nadeem Iqbal, Umair Khalil, Hassan M. M. Aljohani, Amirah Saeed Alharthi, Ahmed Z. Z. Afify
Summary: In this article, a new hybrid time series model called EEMD-ETS is proposed to predict COVID-19 daily confirmed cases and deaths. The model decomposes the complex data into different components and checks their stationarity, resulting in accurate predictions. The model outperforms other time series and machine learning models, making it a recommended choice for COVID-19 prediction.
FRONTIERS IN PUBLIC HEALTH
(2022)
Article
Mathematics, Interdisciplinary Applications
Adam Braima S. Mastor, Oscar Ngesa, Joseph Mung'atu, Nada M. Alfaer, Ahmed Z. Afify
Summary: A novel version of the exponential Weibull distribution, known as the extended exponential Weibull (ExEW) distribution, is developed and examined using the Lehmann alternative II (LAII) generating technique. The basic mathematical properties of the new distribution are derived, and the maximum likelihood estimation (MLE) technique is used to estimate the unknown parameters. The performance of the estimators is further assessed using Monte Carlo simulation, and the applicability of the new distribution is demonstrated using two real-world data sets.
Article
Multidisciplinary Sciences
Hassan M. Aljohani, Sarah A. Bandar, Hazem Al-Mofleh, Zubair Ahmad, M. El-Morshedy, Ahmed Z. Afify
Summary: In this study, a new extended family of heavy-tailed distributions is introduced, and a specific sub-model called NEHTW distribution is studied in detail. The performance of parameter estimation methods and two risk measures for NEHTW distribution are evaluated using simulation experiments. The empirical results demonstrate that NEHTW distribution is suitable for modeling financial and actuarial sciences data.
Article
Computer Science, Software Engineering
Tariq Iqbal, Nada M. Alfaer, Muhammad H. Tahir, Hassan M. Aljohani, Farrukh Jamal, Ahmed Z. Afify
Summary: This article studies a new generator of distributions called the odd JCA-G family and determines its main mathematical properties. Special submodels of this family are presented and their characteristics described. Furthermore, the article explores the performance and efficiency of the odd JCA Burr-XII model through numerical simulations and fitting real-life datasets. The analysis demonstrates the superiority of the odd JCA Burr-XII model in certain situations.
CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE
(2023)
Article
Multidisciplinary Sciences
Nada Alfaer, Sarah Bandar, Omid Z. Kharazmi, Hazem Al-Mofleh, Zubair Ahmad, Ahmed Afify
Summary: A new flexible class, called the type-I extended-F family, is proposed in this study. A detailed exploration is conducted on a special sub-model of the proposed class, known as the type-I extended-Weibull (TIEx-W) distribution. The basic properties of the TIEx-W distribution are provided, and its parameters are estimated using eight classical methods. The performance of these estimators is evaluated through Monte Carlo simulation, and Bayesian estimation of the model parameters is also performed for real data. The TIEx-W distribution is shown to provide a better fit for insurance data compared to other competing models.
Article
Multidisciplinary Sciences
Muhammad Ahsan-ul-Haq, Maha Z. Aldahlan, Javeria A. Zafar, Hector W. Gomez, Ahmed Afify, Hisham Mahran
Summary: A new three-parameter cubic transmuted power distribution is proposed, which provides great flexibility in terms of density and hazard functions. Various mathematical properties such as the quantile function, moments, dispersion index, mean residual life, and order statistics are derived for the new model. The model parameters are estimated using five different estimation methods, and a comprehensive simulation study is conducted to evaluate the performance of the estimators and select the best estimation method. The usefulness of the proposed distribution is demonstrated using a real dataset, and it is concluded that the proposed distribution outperforms some existing well-known distributions.
Article
Mathematics
Adam Braima S. Mastor, Abdulaziz S. Alghamdi, Oscar Ngesa, Joseph Mung'atu, Christophe Chesneau, Ahmed Z. Afify
Summary: This paper proposes a fully parametric accelerated failure time (AFT) model called the extended exponential Weibull accelerated failure time (ExEW-AFT) model, which employs a flexible, novel modified exponential Weibull baseline distribution. The model is presented using the multi-parameter survival regression model, and the parameters are estimated using maximum likelihood approach. An extensive simulation study and a real-life application to a COVID-19 data set from Sudan are conducted to illustrate the model's performance and practical applicability.
Article
Statistics & Probability
Bistoon Hosseini, Mahmoud Afshari, Morad Alizadeh, Ahmed Z. Afify
Summary: The choice of the most suitable statistical distribution for modeling data is crucial. This paper introduces a new one-parameter lifetime distribution, called the weighted-Lindley distribution, which is more flexible for modeling real data with high skewness and kurtosis. The paper investigates the properties of the distribution, estimates its parameter using classical and Bayesian methods, and analyzes its behavior through graphical simulation and real data analysis.
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH
(2022)
Article
Mathematics, Applied
Mustafa S. Shama, Farid El Ktaibi, Jamal N. Al Abbasi, Christophe Chesneau, Ahmed Z. Afify
Summary: In this paper, a flexible and general family of distributions called the modified generalized-G (MGG) family is proposed based on an original power-exponential transformation approach. The elegance and significance of this family lie in its ability to modify standard distributions by changing their functional forms without adding new parameters or by compounding two or adding one or two shape parameters. The distributions in the MGG family can have various hazard rate functions, making them suitable for fitting real data sets encountered in applied fields.
Article
Mathematics, Applied
Ekramy A. Hussein, Hassan M. Aljohani, Ahmed Z. Afify
Summary: This paper proposes a flexible version of the Frechet distribution called the extended Weibull-Frechet (EWFr) distribution. The EWFr distribution exhibits various shapes of failure rate and density function, such as decreasing, increasing, upside-down bathtub, symmetric, asymmetric, reversed-J, and J shapes. The mathematical properties of the EWFr distribution are explored, and its parameters are estimated using different frequentist estimation approaches. The performance of these methods is evaluated through simulations, and the best approach for estimating the EWFr parameters is determined based on partial and overall ranks. Additionally, the superiority of the EWFr distribution over other competing Frechet distributions is demonstrated using real-life datasets from medicine and engineering sciences.
