1st Edition

G Families of Probability Distributions Theory and Practices

364 Pages 101 B/W Illustrations
by CRC Press

364 Pages 101 B/W Illustrations
by CRC Press

364 Pages 101 B/W Illustrations
by CRC Press

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... Read more

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.