Theory and Methods of Statistics
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Theory and Methods of Statistics

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Description

Theory and Methods of Statistics covers essential topics for advanced graduate students and professional research statisticians. This comprehensive resource covers many important areas in one manageable volume, including core subjects such as probability theory, mathematical statistics, and linear models, and various special topics, including nonparametrics, curve estimation, multivariate analysis, time series, and resampling. The book presents subjects such as "maximum likelihood and sufficiency," and is written with an intuitive, heuristic approach to build reader comprehension. It also includes many probability inequalities that are not only useful in the context of this text, but also as a resource for investigating convergence of statistical procedures.
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Product details

  • Paperback | 544 pages
  • 191 x 235 x 27.94mm | 1,090g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0128024402
  • 9780128024409
  • 1,796,829

Table of contents

Chapter 1: Probability Theory
Chapter 2: Some Common Probability Distributions
Chapter 3: Infinite Sequence of Random Variables and Their Convergence Properties
Chapter 4: Basic Concepts of Statistical Inference and a Decision Theoretic Approach
Chapter 5: Point Estimation in Parametric Models
Chapter 6: Hypotheses Testing in Parametric Models
Chapter 7: Asymptotic Properties of Likelihood Based Methods
Chapter 8: Ranks, Empirical Distribution Functions and Quantiles
Chapter 9: Nonparametric Curve Estimation
Chapter 10: Statistical Functionals
Chapter 11: Inference in Linear Models
Chapter 12: Multivariate Analysis
Chapter 13: Resampling: Jackknife and Bootstrap
Chapter 14: Time Series
Appendix A: Some Results from Advanced Calculus
Appendix B: Some Inequalities
Appendix C: Stieltjes Integration
Appendix D: Convergence in Law
Appendix E: Contiguity
Appendix F: Weak Convergence
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Review Text

"There will always be a need for a small number of mathematical statisticians, and this book would be a viable choice for training those people...In addition to its use as a textbook, this volume would make a good reference on the theory behind many standard methods."-- MAA Reviews
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Review quote

"There will always be a need for a small number of mathematical statisticians, and this book would be a viable choice for training those people...In addition to its use as a textbook, this volume would make a good reference on the theory behind many standard methods."--MAA Reviews
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About P. K. Bhattacharya

P.K. Bhattacharya has more than 30 years of experience teaching a broad spectrum of undergraduate and graduate courses in Statistics at Indian Statistical Institute, the University of Arizona, the University of California, Davis, and as a visiting professor at the University of Minnesota and MIT. He has supervised PhD students and has done professional consulting. He has authored more than 40 scientific papers in various areas of Statistics in leading statistical journals and has served on the editorial boards of Annals of Statistics and Sankhya. Prabir Burman has more than 30 years of teaching experience at University of California, Davis, Rutgers University, and Singapore National University. He has taught a wide variety of courses in Statistics courses at undergraduate and graduate levels, and he supervises PhD students in Statistics. He has also performed professional consulting. The author of more than 40 scientific publications in statistics and scientific journals, he is currently on the editorial board of the Journal of Multivariate Analysis, Statistics and Probability Letters, and ISRN Journal of Probability and Statistics.
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