Topic
K-distribution
About: K-distribution is a research topic. Over the lifetime, 1281 publications have been published within this topic receiving 51774 citations.
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TL;DR: In this article, the β -entropy for Pareto-type and related distributions is derived for order statistics, proportional hazards, proportional reversed hazards, probability weighted moments, upper record and lower record.
11 citations
TL;DR: In this article, a unified treatment of three types of zero class truncation for bivariate discrete distributions is presented, using the probability generating function approach, in association with the corresponding properties of the initial complete form of the distribution.
Abstract: A unified treatment of three types of zero class truncation for bivariate discrete distributions is presented. Using the probability generating function approach, various properties of the truncated distributions are examined in association with the corresponding properties of the initial complete form of the distribution. Expressions for moments and conditional distributions are also obtained. Bivariate versions of the Thomas and the Intervened Poisson distributions are introduced and used as illustrative examples.
11 citations
01 May 1978
11 citations
11 citations
TL;DR: The use of the Choquet integral for finding a mean-like aggregated value of a collection of arguments with respect to a fuzzy measure is described and one surrogate for calculating this integral is provided in the case where the objects being aggregated are probability distributions called the probabilistic exceedance method.
Abstract: We describe the use of the Choquet integral for finding a mean-like aggregated value of a collection of arguments with respect to a fuzzy measure. We observe the need for ordering the arguments in using this integral. We consider the case where the arguments being aggregated are random variables, probability distributions. In this case, we are faced with the problem of having to order probability distributions. Given the difficulty of obtaining a linear ordering over a collection of probability distributions, we must search for other methods for obtaining a Choquet type aggregation of a collection of probability distributions that does not require a linear ordering; we refer to these as surrogates. Here, we provide one surrogate for calculating the Choquet integral in the case where the objects being aggregated are probability distributions called the probabilistic exceedance method.
11 citations