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Analytic Aids…  Probability Examples c-7

Analytic Aids… Probability Examples c-7

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Description

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Topics as Elementary probability calculus, density functions and stochastic processes are illustrated.

This book requires knowledge of Calculus 1 and Calculus 2.

Product Description

Content

Introduction

1 Generating functions; background
1.1 Denition of the generating function of a discrete random variable
1.2 Some generating functions of random variables
1.3 Computation of moments
1.4 Distribution of sums of mutually independent random variables
1.5 Computation of probabilities
1.6 Convergence in distribution

2 The Laplace transformation; background
2.1 Denition of the Laplace transformation
2.2 Some Laplace transforms of random variables
2.3 Computation of moments
2.4 Distribution of sums of mutually independent random variables
2.5 Convergence in distribution

3 Characteristic functions; background
3.1 Denition of characteristic functions
3.2 Characteristic functions for some random variables
3.3 Computation of moments
3.4 Distribution of sums of mutually independent random variables
3.5 Convergence in distribution

4 Generating functions

5 The Laplace transformation

6 The characteristic function

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