An introduction to probability and statistical inference / George G. Roussas.

Format:

Book

Author/Creator:

Roussas, George G., author.

Language:

English

Subjects (All):

Probabilities--Textbooks.

Probabilities.

Mathematical statistics.

Physical Description:

1 online resource (1 v.) : illustrations

Edition:

Second edition.

Place of Publication:

Amsterdam : Elsevier, [2015]

Language Note:

English

System Details:

text file

Summary:

An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed question or situation. It provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. This text contains an enhanced number of exercises and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities. Reorganized material is included in the statistical portion of the book to ensure continuity and enhance understanding. Each section includes relevant proofs where appropriate, followed by exercises with useful clues to their solutions. Furthermore, there are brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises are available to instructors in an Answers Manual. This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, business, social sciences or agriculture. Content, examples, an enhanced number of exercises, and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities Reorganized material in the statistical portion of the book to ensure continuity and enhance understanding A relatively rigorous, yet accessible and always within the prescribed prerequisites, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplines Relevant proofs where appropriate in each section, followed by exercises with useful clues to their solutions Brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises available to instructors in an Answers Manual

Contents:

Some motivating examples and some fundamental concepts

The concept of probability and some basic results

Numerical characteristics of a random variable, some special random variables

Joint and conditional P.D.F.'s, conditional expectation and variance, moment generating function, covariance and correlation coefficient

Independence of random variables and some applications

Transformation of random variables

Some modes of convergence of random variables, applications

An overview of statistical inference

Point estimation

Confidence intervals and confidence regions

Testing hypotheses

More about testing hypotheses

A simple linear regression model

Two analysis of variance models

Some topics in nonparametric inference.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on print version record.

OCLC:

893164163