Mathematical Statistics With Applications
eBook - ePub

Mathematical Statistics With Applications

  1. 648 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematical Statistics With Applications

About this book

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
Print ISBN
9780824754006
eBook ISBN
9781351992046
Edition
1
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,.…Pk with n1,n2,.…nk individuals respectively, then, there are n1n2…nkdifferent groups such that each group of k elements has exactly one member...

Table of contents

  1. Cover Page
  2. Half Title Page
  3. Title Page
  4. Copyright Page
  5. Preface
  6. Acknowledgments
  7. Introduction
  8. Table of Contents
  9. 1 Review Of Mathematics
  10. 2 Probability Theory
  11. 3 Random Variables
  12. 4 Discrete Distributions
  13. 5 Continuous Random Variables
  14. 6 Distributions of Order Statistics
  15. 7 Asymptotic Distribution Theory
  16. 8 Point Estimation
  17. 9 Hypothesis Testing
  18. 10 Interval Estimation
  19. 11 Introduction to Computational Methods
  20. Index