G Families of Probability Distributions

Theory and Practices

Mir Masoom Ali, Irfan Ali (Aligarh Muslim University, India), Haitham M. Yousof (Benha University, Egypt) , Mohamed Ibrahim Mohamed Ahmed (Damietta University, Egypt)

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English

CRC Press
08 October 2024

Probability & statistics

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.

Edited by: Mir Masoom Ali, Irfan Ali (Aligarh Muslim University, India), Haitham M. Yousof (Benha University, Egypt), Mohamed Ibrahim Mohamed Ahmed (Damietta University, Egypt)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 670g
ISBN: 9781032140681
ISBN 10: 1032140682
Pages: 358
Publication Date: 08 October 2024
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Forthcoming

A New Compound G Family of Distributions: Properties, Copulas, Characterizations, Real Data Applications with Different Methods of Estimation. A Novel Family of Continuous Distributions: Properties, Characterizations, Statistical Modeling and Different Estimation Methods. On the use of Copulas to Construct Univariate Generalized Families of Continuous Distributions. A Family of Continuous Probability Distributions: Theory, Characterizations, Properties and Different Copulas. New Odd Log-Logistic Family of Distributions: Properties, Regression Models and Applications. On the Family of Generalized Topp-Leone Arcsin Distributions. The Truncated Modified Lindley Generated Family of Distributions. An extension of the Weibull distribution via Alpha logarithmic G family with Associated Quantile Regression Modeling and Applications. The Topp-Leone-G Power Series Distribution: Its Properties and Applications. Exponentiated Generalized General Class of Inverted Distributions: Estimation and Prediction. A New Class of Discrete Distribution Arising as an Analogue of Gamma-Lomax Distribution: Properties and Applications. New Compounding Lifetime Distributions with Application to Hard Drive Reliability. Comparing the Performance of G-Family Probability Distribution for Modeling Rainfall Data. Record-Based Transmuted Kumaraswamy Generalized Family of Distributions. Finding an Efficient Distribution to Analyze Lifetime Data through Simulation Study. Exponentiated Muth Distribution: Properties and Applications. Exponentiated Discrete Modified Lindley Distribution and its Applications in Healthcare Sector. Length Biased Weighted New Quasi Lindley Distribution: Statistical Properties and Applications. A New Alpha Power Transformed Weibull Distribution: Properties and Applications. An Extension of Topp-Leone Distribution with Increasing, Decreasing and Bathtub Hazard Functions. Goodness of Fit Test in Instrumental Variables Models. Probability Distribution Analysis for Rainfall Scenarios – A Case Study.

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.