Probability and Statistics

Arak M. Mathai; Hans J. Haubold

Open Access Published by De Gruyter 2018

Probability and Statistics

A Course for Physicists and Engineers

Arak M. Mathai and Hans J. Haubold

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110562545

Overview
Contents

About this book

This book offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing. As a companion for classes for engineers and scientists, the book also covers applied topics such as model building and experiment design.

Contents
Random phenomena
Probability
Random variables
Expected values
Commonly used discrete distributions
Commonly used density functions
Joint distributions
Some multivariate distributions
Collection of random variables
Sampling distributions
Estimation
Interval estimation
Tests of statistical hypotheses
Model building and regression
Design of experiments and analysis of variance
Questions and answers

Designed for students in engineering and physics with applications in mind.
Proven by more than 20 years of teaching at institutions s.a. UN-affiliated Regional Centres for Space Science and Technology Education.
Self-contained.

Author information

Arak Mathai, Centre for Math. and Stat. Sciences, Kerala, India; Hans Haubold, UN Office for Outer Space Affairs, Vienna, Austria.

Frontmatter Accessible Download PDF	I
Introduction A. M. Mathai and Hans J. Haubold Open Access Download PDF	V
Preface A. M. Mathai and Hans J. Haubold Open Access Download PDF	IX
Acknowledgement Open Access Download PDF	XI
Contents Accessible Download PDF	XIII
List of Tables Open Access Download PDF	XIX
List of Symbols Open Access Download PDF	XXI
1. Random phenomena Open Access Download PDF	1
2. Probability Open Access Download PDF	33
3. Random variables Open Access Download PDF	61
4. Expected values Open Access Download PDF	83
5. Commonly used discrete distributions Open Access Download PDF	107
6. Commonly used density functions Open Access Download PDF	133
7. Joint distributions Open Access Download PDF	171
8. Some multivariate distributions Open Access Download PDF	221
9. Collection of random variables Open Access Download PDF	249
10. Sampling distributions Open Access Download PDF	259
11. Estimation Open Access Download PDF	303
12. Interval estimation Open Access Download PDF	355
13. Tests of statistical hypotheses Open Access Download PDF	381
14. Model building and regression Open Access Download PDF	437
15. Design of experiments and analysis of variance Open Access Download PDF	493
16. Questions and answers Open Access Download PDF	525
Tables of percentage points Open Access Download PDF	559
References Open Access Download PDF	577
Index Open Access Download PDF	579

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students of physics, engineering, satellite communication, space and atmospheric sciences, climate and meteorology.
Pages
- Front matter: 22
- Main content: 582
Illustrations
- Illustrations: 30
Keywords: Wahrscheinlichkeitsrechnung; Statistik; Modellbildung; Versuchsplanung

eBook

Published: December 18, 2017
ISBN: 9783110562545

Paperback

Published: December 18, 2017
ISBN: 9783110562538