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probability and statistics arak mathai, p n rathie [pdf]

# Probability and Statistics by Arak Mathai, P N Rathie

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About this book :-
Probability and Statistics written by A M Mathai, P N Rathie.
This book is an introduction to basic statistical concepts and their applications. The only prerequisite is some knowledge of differential and integral calculus, which can be picked up in fifteen one-hour lectures. All other mathematical requirements are given in the book itself, in the form of technical notes.
The book is intended to give a clear picture of basic statistical concepts. Since the theory of sets is usually taught in secondary schools, only the concepts needed for a meaningful discussion of basic probability theory and statistical populations are discussed; the utmost care is taken to make the treatment rigorous at the mathematical level assumed.
Every concept is properly defined and illustrated with examples and counter examples. The important points are specifically made in ' comments ' following the examples. A sufficient number of problem for a complete understanding of the topics discussed is given at the end of each section, and an additional set of problems appears at the end of each chapter, some of which supplement the theory in that chapter. Answers to these problems are provided at the end of the book. Also a number of statistical decision problems are included following the discussion of mathematical expectation.

Book Detail :-
Title: Probability and Statistics
Edition:
Author(s): A M Mathai, P N Rathie
Publisher: Palgrave Macmillan UK
Series:
Year: 1997
Pages: 420
Type: PDF
Language: English
ISBN: 978-1-349-02769-9,978-1-349-02767-5,174-177-178-1
Country: India
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About Author :-
Arak Mathai Arakaparampil Mathai "Arak" Mathai (born 1935) is an Indian mathematician who has worked in Statistics, Applied Analysis, Applications of special functions and Astrophysics. Mathai established the Centre for Mathematical Sciences, Palai, Kerala, India.
He has published more 25 books and more than 300 research publications. In 1998 he received the Founder Recognition Award from the Statistical Society of Canada. He is a Fellow of the National Academy of Sciences, India and a Fellow of the Institute of Mathematical Statistics. After completing his high school education in 1953 from St. Thomas High School, Palai with record marks he joined St. Thomas College, Palai and obtained his B Sc. degree in Mathematics in 1957. In 1959 he completed his master's degree in Statistics from University of Kerala, Thiruvananthapuram, Kerala, India with first class, first rank and gold medal. Then he joined St. Thomas College, Palai, University of Kerala, as a lecturer in Statistics and served there till 1961. He obtained Canadian Commonwealth scholarship in 1961 and went to University of Toronto, Canada for completing his MA degree in Mathematics in 1962. He was awarded PhD from University of Toronto, Canada in 1964. Then he joined McGill University, Canada as an Assistant Professor till 1968. From 1968 to 1978 he was an Associate Professor there. He became a Full Professor of McGill in 1979 and served the Department of Mathematics and Statistics until 2000. From 2000 onwards he was an Emeritus Professor of McGill University.

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Book Contents :-
Probability and Statistics written by A M Mathai, P N Rathie cover the following topics.
Preface
List of Symbols
Part-I BAsra STATISTICAL CoNCEPTS
1. Statistical Populations and Sampling
2. An OutcoiDe Set
3. Probability
Part-ll PROBABILITY MoDELs
4. Stochastic Variables
5. Univariate Probability Models-Discrete
6. Univariate Probability Models-Continuous
7. Sampling Distributions
Part-III STATISTICAL INFERENCE
8. Statistical EstiJn.ation
9. Tests of Statistical Hypotheses
10. Some Non-Parametric Tests
11. Statistical Regression
12. Analysis of Variance
BibHography
Answers
Answers to Additional Exercises
Statistical Tables
Index

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