Elementary Theory of Probability Distributions

Contents: 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. Lifetime distributions and reliability. Bibliography. Index. 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 Undergraduate 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.…