Basic Concepts of Probability

Milan Holický
Additional contact information
Milan Holický: Czech Technical University in Prague, Klokner Institute, Department of Structural Reliability

Chapter Chapter 2 in Introduction to Probability and Statistics for Engineers, 2013, pp 5-28 from Springer

Abstract: Abstract The basic concepts of the theory of probability, frequently applied in engineering and scientific tasks, are best illustrated by practical examples. Fundamental terms like “experiment”, “random event” and “sample space” are supplemented by descriptions of the common relations between random events. The key notion of probability is defined, taking into account historical approaches and practical interpretations related to engineering and scientific applications. The basic rules for the calculation of probability are illustrated by numerical examples. The essential concept of conditional probability is clarified in detail and was used to develop the Bayes’ theorem. Various applications of the theorem are demonstrated by examples taken from engineering. An extension of the Bayes’ theorem is used to develop operational procedures for probability updating.

Keywords: Membership Function; Conditional Probability; Bayesian Network; Sample Space; Elementary Event (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-38300-7_2

Ordering information: This item can be ordered from
http://www.springer.com/9783642383007

DOI: 10.1007/978-3-642-38300-7_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().