eBook - PDF
Mathematical Statistics
About this book
This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation.
- For students with some elementary mathematical background.
- With many exercises.
- Prerequisites from measure theory and linear algebra are presented.
Tools to learn more effectively
Saving Books
Keyword Search
Annotating Text
Listen to it instead
Information
Table of contents
- Frontmatter
- Contents
- Chapter I. Probability theory
- Chapter II. Statistics and their probability distributions, estimation theory
- Chapter III. Hypothesis tests
- Chapter IV. Simple regression analysis
- Chapter V. Normal analysis of variance
- Chapter VI. Non-parametric methods
- Chapter VII. Stochastic analysis and its applications in statistics
- Chapter VIII. Vectorial statistics
- Appendix A. Lebesgue’s convergence theorems
- Appendix B. Product measures
- Appendix C. Conditional probabilities
- Appendix D. The characteristic function of the Cauchy distribution
- Appendix E. Metric spaces, equicontinuity
- Appendix F. The Fourier transform and the existence of stoutly tailed distributions
- Backmatter
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
Perlego offers two plans: Essential and Complete
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 990+ topics, we’ve got you covered! Learn about our mission
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access Mathematical Statistics by Wiebe R. Pestman in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.