A course in mathematical statistics / George G. Roussas.

Format:

Book

Author/Creator:

Roussas, George G.

Contributor:

Roussas, George G.

Language:

English

Subjects (All):

Mathematical statistics.

Statistics.

Physical Description:

1 online resource (593 pages)

Edition:

2nd ed.

Place of Publication:

San Diego : Academic Press, c1997.

Language Note:

English

Summary:

A Course in Mathematical Statistics, Second Edition, contains enough material for a year-long course in probability and statistics for advanced undergraduate or first-year graduate students, or it can be used independently for a one-semester (or even one-quarter) course in probability alone. It bridges the gap between high and intermediate level texts so students without a sophisticated mathematical background can assimilate a fairly broad spectrum of the theorems and results from mathematical statistics. The coverage is extensive, and consists of probability and distribution theory, an

Contents:

Cover; Contents; Preface to the Second Edition; Preface to the First Edition; Chapter 1. Basic Concepts of Set Theory; 1.1 Some Definitions and Notation; 1.2* Fields and σ-Fields; Chapter 2. Some Probabilistic Concepts and Results; 2.1 Probability Functions and Some Basic Properties and Results; 2.2 Conditional Probability; 2.3 Independence; 2.4 Combinatorial Results; 2.5* Product Probability Spaces; 2.6* The Probability of Matchings; Chapter 3. On Random Variables and Their Distributions; 3.1 Some General Concepts; 3.2 Discrete Random Variables (and Random Vectors)

8.2 Relationships Among the Various Modes of Convergence8.3 The Central Limit Theorem; 8.4 Laws of Large Numbers; 8.5 Further Limit Theorems; 8.6* Pólya's Lemma and Alternative Proof of the WLLN; Chapter 9. Transformations of Random Variables and Random Vectors; 9.1 The Univariate Case; 9.2 The Multivariate Case; 9.3 Linear Transformations of Random Vectors; 9.4 The Probability Integral Transform; Chapter 10. Order Statistics and Related Theorems; 10.1 Order Statistics and Related Distributions; 10.2 Further Distribution Theory: Probability of Coverage of a Population Quantile

Chapter 11. Sufficiency and Related Theorems

Notes:

Rev. ed. of: A first course in mathematical statistics. 1973.

Includes index.

ISBN:

1-281-01221-1

9786611012212

1-4294-8350-4

0-08-049314-9

OCLC:

191035062