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Probability theory and statistical applications: a profound treatise for self-study

By: Publication details: Berlin: De Gruyter, 2025.Description: ix, 284p.: pbk.: 25 cmISBN:
  • 9783111700694
Subject(s): DDC classification:
  • 519.5 ZOR
Summary: This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality. Contents: Mathematics revision Introduction to probability Finite sample spaces Conditional probability and independence One-dimensional random variables Functions of random variables Bi-dimensional random variables Characteristics of random variables Discrete probability models Continuous probability models Generating functions in probability Sums of many random variables Samples and sampling distributions Estimation of parameters Hypothesis tests Many examples and illustrations Exercises at the end of each section Mathematically rigorous, but exaggerate formalism is avoided For students of Mathematics, Statistics, Engineering and other quantitative Sciences https://www.degruyterbrill.com/document/doi/10.1515/9783110402711/html
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Includes Appendix, References and Index.

This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality.

Contents:
Mathematics revision
Introduction to probability
Finite sample spaces
Conditional probability and independence
One-dimensional random variables
Functions of random variables
Bi-dimensional random variables
Characteristics of random variables
Discrete probability models
Continuous probability models
Generating functions in probability
Sums of many random variables
Samples and sampling distributions
Estimation of parameters
Hypothesis tests

Many examples and illustrations
Exercises at the end of each section
Mathematically rigorous, but exaggerate formalism is avoided
For students of Mathematics, Statistics, Engineering and other quantitative Sciences

https://www.degruyterbrill.com/document/doi/10.1515/9783110402711/html

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