Selected Models of Continuous Variables

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

Chapter Chapter 6 in Introduction to Probability and Statistics for Engineers, 2013, pp 63-78 from Springer

Abstract: Abstract Most of the random variables used in engineering and scientific applications are described by continuous variables that may attain any value from a given interval. The probability density function of a continuous random variable is often interpreted as the limiting case of a histogram when the number of observations is increasing to infinity. An elementary type of continuous distribution is the uniform distribution describing a variable that may attain any value from a given interval with an equal chance. Frequently used distributions, having the probability density function of a typical bell shape, and applied in engineering and science, include the normal, lognormal, Beta as well as different types of extreme value distributions like the Gumbel, Weibull and Frechet distributions. Other types of continuous distributions are applied less frequently. A review of selected models of continuous random variables is provided in Appendix 3.

Keywords: Typical Bell Shape; Continuous Random Variables; Frechet Distribution; Minimum Value Distribution; Three-parameter Lognormal Distribution (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-642-38300-7_6

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