Theory and methods of statistics / P.K. Bhattacharya, Prabir Burman.

Format:

Book

Author/Creator:

Bhattacharya, P. K., author.

Burman, Prabir, author.

Series:

Gale eBooks

Language:

English

Subjects (All):

Mathematical statistics.

Physical Description:

1 online resource (xiv, 529 pages)

Edition:

First edition.

Place of Publication:

London : Academic Press, [2016]

System Details:

text file

Summary:

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. Codifies foundational information in many core areas of statistics into a comprehensive and definitive resource Serves as an excellent text for select master’s and PhD programs, as well as a professional reference Integrates numerous examples to illustrate advanced concepts Includes many probability inequalities useful for investigating convergence of statistical procedures

Contents:

1. Probability theory

2. Some common probability distributions

3. Infinite sequences of random variables and their convergence properties

4. Basic concepts of statistical inference

5. Point estimation in parametric models

6. Hypothesis testing

7. Methods based on likelihood and their asymptotic properties

8. Distribution-free tests for hypothesis testing in nonparametric families

9. Curve estimation

10. Statistical functionals and their use in robust estimation

11. Linear models

12. Multivariate analysis

13. Time series.

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed July 14, 2016).

ISBN:

9780128041239

0128041234

9780128024409

0128024402

OCLC:

956735842