G Families of Probability Distributions
Theory and Practices
1st Edition
Published on 31. March 2023
364 pages
978-1-000-86035-1 (ISBN)
Description
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.
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.
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Illustrations
94 Line drawings, black and white; 7 Halftones, black and white; 101 Illustrations, black and white
ISBN-13
978-1-000-86035-1 (9781000860351)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Mir Masoom Ali | Irfan Ali | Haitham M. Yousof
G Families of Probability Distributions
Theory and Practices
Book
10/2024
1st Edition
CRC Press
€83.90
Shipment within 10-20 days
Mir Masoom Ali | Irfan Ali | Haitham M. Yousof
G Families of Probability Distributions
Theory and Practices
Book
03/2023
1st Edition
CRC Press
€231.90
Shipment within 10-20 days
Persons
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.
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.
Content
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.
