Fundamentals of Probability Theory
As emphasized in chapter 1, modern structural reliability analysis is based on a probabilistic point of view. It is therefore important to get a profound knowledge of at least some part of probability theory. It is beyond the scope of this book to give a thorough presentation of probability theory on a rigorous axiomatic basis. What is needed to understand the following chapters is some knowledge of the fundamental assumptions of modern probability theory, combined with a number of definitions and theorems. It will be assumed that the reader is familiar with the terminology and the algebra of simple set theory.
KeywordsRandom Vector Sample Space Central Moment Probability Mass Function Discrete Random Variable
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