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.
From the reviews:
"This work ? primarily covers fundamental topics in statistics such as probability, descriptive statistics and higher moments, selected discrete and continuous random variables, parameter estimation, hypothesis testing of sample means and variances, and correlation and simple linear regression. ? This concise book may be suitable for engineers and practitioners who already have knowledge of mathematical statistics in order to refresh their memory. Summimg Up ? Professionals/practitioners." (S-T. Kim, Choice, Vol. 51 (7), March, 2014)
