1st Edition
G Families of Probability Distributions Theory and Practices
Statistical distributions are essential tools to model the characteristics of datasets, such as right or left skewness, bi-modality or multi-modality observed in different applied sciences, such as engineering, medicine, and finance. The well-known distributions like normal, Weibull, gamma and Lindley are extensively used because of their simple forms and identifiability properties. In the last decade, researchers have focused on the more complex and flexible distributions, referred to as Generalized or simply G families of probability distributions, to increase the modelling capability of these distributions by adding one or more shape parameters.
The main aim of this edited book is to present new contributions by researchers in the field of G families of probability distributions. The book will help researchers to:
- Develop new univariate continuous and discrete G families of probability distributions.
- Develop new bivariate continuous and discrete G families of probability distributions.
- Derive beneficial mathematical properties such as ordinary and incomplete moments, moment generating functions, residual life and reversed residual life functions, order statistics, quantile spread ordering and entropies, and some bivariate and multivariate extensions of the new and existing models using a simple-type copula.
A New Compound G Family of Distributions: Properties, Copulas, Characterizations, Real Data Applications with Different Methods of Estimation
M. Masoom Ali, Nadeem Shafique Butt, G.G. Hamedani, Saralees Nadarajah, Haitham M. Yousof, Mohamed Ibrahim
A Novel Family of Continuous Distributions: Properties, Characterizations, Statistical Modeling and Different Estimation Methods
Haitham M. Yousof, M. Masoom Ali, Gauss M. Cordeiro, G.G. Hamedani and Mohamed Ibrahim
On the use of Copulas to Construct Univariate Generalized Families of Continuous Distributions
Christophe Chesneau and Haitham M. Yousof
A Family of Continuous Probability Distributions: Theory, Characterizations, Properties and Different Copulas
Mohammad Mehdi Saber, G.G. Hamedani, Haitham M. Yousof, Nadeem Shafique Butt, Basma Ahmed and Mohamed Ibrahim
New Odd Log-Logistic Family of Distributions: Properties, Regression Models and Applications
Emrah Altun, MoradAlizadeh, GamzeOzel and Haitham M. Yousof
On the Family of Generalized Topp-Leone Arcsin Distributions
Vikas Kumar Sharma, Komal Shekhawat and Sanjay Kumar Singh
The Truncated Modified Lindley Generated Family of Distributions
Lishamol Tomy, Christophe Chesneau and Jiju Gillariose
An extension of the Weibull distribution via Alpha logarithmic G family with Associated Quantile Regression Modeling and Applications
Yunus Akdoğan, Kadir Karakaya, Mustafa Ç. Korkmaz, Fatih Şahin, Aşır Genç
The Topp-Leone-G Power Series Distribution: Its Properties and Applications
Laba Handique, Subrata Chakraborty and M. Masoom Ali
Exponentiated Generalized General Class of Inverted Distributions: Estimation and Prediction
Abeer A. EL-Helbawy, Gannat R. AL-Dayian, Asmaa M. Abd AL-Fattah and Rabab E. Abd EL-Kader
A New Class of Discrete Distribution Arising as an Analogue of Gamma-Lomax Distribution: Properties and Applications
Indranil Ghosh, Ayman Alzaatreh, G.G. Hamedani
New Compounding Lifetime Distributions with Application to Hard Drive Reliability
A. Asgharzadeh, Hassan S. Bakouch, L. Esmaeili, S. Nadarajah
Comparing the Performance of G-Family Probability Distribution for Modeling Rainfall Data
Md. Mostafizur Rahman, Md. Abdul Khalek and M. Sayedur Rahman
Record-Based Transmuted Kumaraswamy Generalized Family of Distributions
Qazi J. Azhad, Mohd. Arshad, Bhagwati Devi, Nancy Khandelwal, and Irfan Ali
Finding an Efficient Distribution to Analyze Lifetime Data through Simulation Study
Anamul Haque Sajib, Trishna Saha and M Sayedur Rahman
Exponentiated Muth Distribution: Properties and Applications
R. Maya, M.R. Irshad, Anuresha Krishna
Exponentiated Discrete Modified Lindley Distribution and its Applications in Healthcare Sector
Lishamol Tomy, Veena G and Christophe Chesneau
Length Biased Weighted New Quasi Lindley Distribution: Statistical Properties and Applications
Aafaq A. Rather
A New Alpha Power Transformed Weibull Distribution: Properties and Applications
Ashok Kumar Pathak, Mohd. Arshad, Sanjeev Bakshic and Mukti Khetan
An Extension of Topp-Leone Distribution with Increasing, Decreasing and Bathtub Hazard Functions
Unnati Nigam and Arun Kaushik
Goodness of Fit Test in Instrumental Variables Models
Shalabh and Subhra Sankar Dhar
Probability Distribution Analysis for Rainfall Scenarios – A Case Study
Md. Abdul Khalek, Md. Mostafizur Rahaman, Md. Kamruzzaman, Md. Mesbahul Alam and M. Sayedur Rahman
Biography
Dr. Mir Masoom Ali is George and Frances Ball Distinguished Professor Emeritus of Statistics at Ball State University in the USA. His current research interest is in the area of G Families of probability distributions and he has published numerous papers in this area.
Dr. Irfan Ali is an Assistant Professor of Statistics at the Department of Statistics and Operations Research, Aligarh Muslim University, India. His current research areas are applied statistics and mathematical programming and he has published more than 100 research papers in these areas.
Dr. Haitham M. Yousof is an Assistant professor of Statistics at the Department of Statistics, Mathematics and Insurance, Benha University, Egypt. His current research areas are probability theory and G Families of probability distributions and he has published more than 200 research papers in these areas.
Dr. Mohamed Ibrahim is an Assistant professor of Statistics at the Department of Applied, Mathematical and Actuarial Statistics, Damietta University, Egypt. His current research areas are probability theory and G Families of probability distributions and he has published several research papers in these areas.
