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The Burr–Singh–Maddala (BSM) probability distribution is a generalization of the Pareto distribution and the Weibull distribution that are used for frequency analyses of a variety of hydrologic and hydrometeorologic data. This distribution possesses a number of interesting characteristics that are discussed in this chapter. The BSM distribution is derived using the entropy theory, which then is applied to derive the BSM distribution parameters. Real-world data are used to illustrate the application of the distribution.
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