Introduction to Probability and Statistics for Engineers

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Springer Science & Business Media, Aug 4, 2013 - Mathematics - 181 pages
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The theory of probability and mathematical statistics is becoming an indispensable discipline in many branches of science and engineering. This is caused by increasing significance of various uncertainties affecting performance of complex technological systems. Fundamental concepts and procedures used in analysis of these systems are often based on the theory of probability and mathematical statistics.

The book sets out fundamental principles of the probability theory, supplemented by theoretical models of random variables, evaluation of experimental data, sampling theory, distribution updating and tests of statistical hypotheses. Basic concepts of Bayesian approach to probability and two-dimensional random variables, are also covered. Examples of reliability analysis and risk assessment of technological systems are used throughout the book to illustrate basic theoretical concepts and their applications.

The primary audience for the book includes undergraduate and graduate students of science and engineering, scientific workers and engineers and specialists in the field of reliability analysis and risk assessment. Except basic knowledge of undergraduate mathematics no special prerequisite is required.

 

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Contents

Introduction
1
Basic Concepts of Probability
5
Evaluation of Statistical Data
29
Distributions of Random Variables
43
Selected Models of Discrete Variables
53
Selected Models of Continuous Variables
63
Functions of Random Variables
79
Estimations of Population Parameters
95
Random Functions
153
Sample Characteristics and Population Parameters
165
Theoretical Models of Discrete Random Variables
167
Theoretical Models of Continuous Random Variables
169
Functions of Independent Random Variables
171
Fractiles of Random Variables
173
Conventional Probabilistic Models
175
Standardized Normal Distribution
179

Fractiles of Random Variables
109
Testing of Statistical Hypotheses
125
Correlation and Regression
139
Brief Biographical Notes
181
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About the author (2013)

Prof. Dr. Milan Holickı got his civil engineering degree at the Czech Technical University in Prague, and doctor degree at the University of Waterloo, Canada. He is involved in the research of structural reliability and risk assessment. In 2010 he became Extraordinary Professor at the University of Stellenbosch, South Africa; in 2011 he was awarded the degree Honorary Doctor of Science and Engineering of Moscow State University of Civil Engineering.

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