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This book covers selected topics in Distribution theory that are sequenced to flow the understanding of advances. Statistical Concepts are explained with examples and explanations are provided at appropriate places to enhance the readability and ease of understanding. Each topic in this book has been presented in a comprehensive manner so as to cross over to some advanced concepts gradually. The content of the book is good enough for self-study for students at Under Graduate and Post Graduate level.
Some of the salient features are
• The Book presents concepts in a concise and clear manner
• The Book has adequate basics needed to learn/teach the content
• The Readability is enhanced via illustrations at every chapter
• Every Chapter has doable exercises
Dr. P. Dhanavanthan holds Ph.D degree in Statistics from University of Madras, Tamilnadu. He has over 33 years of teaching and research experience and has taught Distribution Theory at Masters Level at University of Madras and Pondicherry University since 1986. He has guided 10 Ph.d Students also. He has co-authored a book on Statistical Inference published by PHI, that is widely used in Indian Universities. Besides, he has published research papers in several national and Internation Journals. K.M.Sakthivel, Ph.D., is currently serving as Professor in the Department of Statistics, Bharathiar University, Coimbatore, Tamilnadu. With the more than two decades of experience in the field of teaching and research, he published more than forty research papers in the national and international reputed journals. He also guided many students in Statistics leading to the degree M.Phil and Ph.D. He is life member of Indian Society for Probability and Statistics(ISPS), International Indian Statistical Association(IISA), Society for Statistics and Computer Applications(SSCA), Indian Bayesian Society (IBS) and Indian Association of Productivity, Quality and Reliability (IAPQR).
1 Probability and Random Variables
2 Functions of Random Variables
3 Characteristics of Distributions
4 Generating Functions
5 Discrete Probability Distributions
6 Continuous Probability Distributions
7 Pearsonian System of Distributions
8 Truncated Distributions
9 Compound Distributions
10 Infinitely Divisible Distributions
11 Convolution of Distributions
12 Bivariate Distributions
13 Sampling Distributions
14 Non-Central Distributions
15 Order Statistics
16 Quadratic Forms
17 Life Time Distributions and Reliability
Bibliography, Index
