Ebook: Probability and Statistics: Theory and Applications
Author: Gunnar Blom (auth.)
- Tags: Statistics general, Probability Theory and Stochastic Processes
- Series: Springer Texts in Statistics
- Year: 1989
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
This is a somewhat extended and modified translation of the third edition of the text, first published in 1969. The Swedish edition has been used for many years at the Royal Institute of Technology in Stockholm, and at the School of Engineering at Link6ping University. It is also used in elementary courses for students of mathematics and science. The book is not intended for students interested only in theory, nor is it suited for those seeking only statistical recipes. Indeed, it is designed to be intermediate between these extremes. I have given much thought to the question of dividing the space, in an appropriate way, between mathematical arguments and practical applications. Mathematical niceties have been left aside entirely, and many results are obtained by analogy. The students I have in mind should have three ingredients in their course: elementary probability theory with applications, statistical theory with applications, and something about the planning of practical investiga tions. When pouring these three ingredients into the soup, I have tried to draw upon my experience as a university teacher and on my earlier years as an industrial statistician. The programme may sound bold, and the reader should not expect too much from this book. Today, probability, statistics and the planning of investigations cover vast areas and, in 356 pages, only the most basic problems can be discussed. If the reader gains a good understanding of probabilistic and statistical reasoning, the main purpose of the book has been fulfilled.
This is an extended and modified translation of the third Swedish edition which has been used at the Royal Institute of Technology in Stockholm and at the School of Engineering at Linkoping University. Probability and Statistics has also been used for elementary courses for students of mathematics and science. This book is intended for students who are interested in combining elementary probability theory with applications, statistical theory with applications, and something about the planning of practical investigations in their course of study. A working knowledge of elementary calculus, in particular derivatives and Riemann integrals, is an essential prerequisite.
This is an extended and modified translation of the third Swedish edition which has been used at the Royal Institute of Technology in Stockholm and at the School of Engineering at Linkoping University. Probability and Statistics has also been used for elementary courses for students of mathematics and science. This book is intended for students who are interested in combining elementary probability theory with applications, statistical theory with applications, and something about the planning of practical investigations in their course of study. A working knowledge of elementary calculus, in particular derivatives and Riemann integrals, is an essential prerequisite.
Content:
Front Matter....Pages i-xi
Introduction to Probability Theory....Pages 1-4
Elements of Probability Theory....Pages 5-39
One-Dimensional Random Variables....Pages 40-64
Multidimensional Random Variables....Pages 65-79
Functions of Random Variables....Pages 80-95
Expectations....Pages 96-115
More About Expectations....Pages 116-130
The Normal Distribution....Pages 131-146
The Binomial and Related Distributions....Pages 147-166
Introduction to Statistical Theory....Pages 167-178
Descriptive Statistics....Pages 179-190
Point Estimation....Pages 191-222
Interval Estimation....Pages 223-252
Testing Hypotheses....Pages 253-279
Linear Regression....Pages 280-292
Planning Statistical Investigations....Pages 293-306
Back Matter....Pages 307-356
This is an extended and modified translation of the third Swedish edition which has been used at the Royal Institute of Technology in Stockholm and at the School of Engineering at Linkoping University. Probability and Statistics has also been used for elementary courses for students of mathematics and science. This book is intended for students who are interested in combining elementary probability theory with applications, statistical theory with applications, and something about the planning of practical investigations in their course of study. A working knowledge of elementary calculus, in particular derivatives and Riemann integrals, is an essential prerequisite.
Content:
Front Matter....Pages i-xi
Introduction to Probability Theory....Pages 1-4
Elements of Probability Theory....Pages 5-39
One-Dimensional Random Variables....Pages 40-64
Multidimensional Random Variables....Pages 65-79
Functions of Random Variables....Pages 80-95
Expectations....Pages 96-115
More About Expectations....Pages 116-130
The Normal Distribution....Pages 131-146
The Binomial and Related Distributions....Pages 147-166
Introduction to Statistical Theory....Pages 167-178
Descriptive Statistics....Pages 179-190
Point Estimation....Pages 191-222
Interval Estimation....Pages 223-252
Testing Hypotheses....Pages 253-279
Linear Regression....Pages 280-292
Planning Statistical Investigations....Pages 293-306
Back Matter....Pages 307-356
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