Mathematical statistics typically represents one of the most difficult challenges in statistics, particularly for those with more applied, rather than mathematical, interests and backgrounds. Most textbooks on the subject provide little or no review of the advanced calculus topics upon which much of mathematical statistics relies and furthermore contain material that is wholly theoretical, thus presenting even greater challenges to those interested in applying advanced statistics to a specific area.Mathematical Statistics with Applications presents the background concepts and builds the technical sophistication needed to move on to more advanced studies in multivariate analysis, decision theory, stochastic processes, or computational statistics. Applications embedded within theoretical discussions clearly demonstrate the utility of the theory in a useful and relevant field of application and allow readers to avoid sudden exposure to purely theoretical materials.With its clear explanations and more than usual emphasis on applications and computation, this text reaches out to the many students and professionals more interested in the practical use of statistics to enrich their work in areas such as communications, computer science, economics, astronomy, and public health.

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Yes, you can access Mathematical Statistics With Applications by Asha Seth Kapadia, Wenyaw Chan, Lemuel A. Moyé in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Publisher

CRC Press

Year

2017

ISBN

9781351992046

Edition

Topic

Mathematics

Subtopic

Probability & Statistics

Index

Mathematics

1 Review Of Mathematics

1.1 Introduction

This chapter provides a review of the mathematics that is required for a good un-derstanding of probability and mathematical statistics. Our intention is to provide a survey of the fundamental concepts in calculus and finite mathematics that will facilitate the concepts introduced in Chapters 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11. For more details the student is referred to other texts in mathematics.

1.2 Combinatorics

This section will review a few rules of enumeration that are helpful in our study of probability theory.

1.2.1 Examples in Enumeration

If we have a total of n₁ individuals from Population A and n₂ individuals from Population B then there are a total of n₁n₂ pairs containing one member from each population. If we have k non-overlapping populations P₁,P₂,.…P_k with n₁,n₂,.…n_k individuals respectively, then, there are n₁n₂…n_kdifferent groups such that each group of k elements has exactly one member...

Cover Page
Half Title Page
Title Page
Copyright Page
Preface
Acknowledgments
Introduction
Table of Contents
1 Review Of Mathematics
2 Probability Theory
3 Random Variables
4 Discrete Distributions
5 Continuous Random Variables
6 Distributions of Order Statistics
7 Asymptotic Distribution Theory
8 Point Estimation
9 Hypothesis Testing
10 Interval Estimation
11 Introduction to Computational Methods
Index