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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12 citations
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TL;DR: In this paper, the authors reanalyzes the following nonlinear program: find the most similar probability distribution to a given reference measure subject to constraints expressed by mean values by minimizing the weighted logarithmic deviation.
Abstract: The paper reanalyzes the following nonlinear program: Find the most similar probability distribution to a given reference measure subject to constraints expressed by mean values by minimizing the weighted logarithmic deviation. The main probability distributions are examined from this point of view and the results are summarized in a table.
12 citations
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TL;DR: In this article, the moments of two classes of mufti-variate discrete distributions, namely the generalized power series distribution and the unified multivariate hypergeometric distribution, were derived using finite difference operators.
Abstract: Link (American Statistician, 35 (1981), pp. 44–46) described a method of deriving the moments of some well known discrete probability distributions using finite difference operators. Rao and Janardan (American Statistician, 36 (1982), pp. 381–383) applied this method to derive the moments of two classes of mufti-variate discrete distributions, namely the generalized power series distribution and the unified multivariate hypergeometric distribution. In this paper two other classes of distributions are considered–the factorial series distributions (Berg (Scand. J. Statist., 1 (1974), pp. 145–152; 3 (1976), pp. 86–88)) and the modified power series distributions (Gupta (Sankhyā, Ser. B, 35 (1974), pp. 288–298)). The results of Link follow as special cases. The probability generating function of the committee members distribution is also given. The minimum chi-square estimators of the generalized Poisson distribution are developed.
12 citations
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01 Jan 2014
TL;DR: In this article, a method for approximate evaluation of Zadeh's Z-numbers using category sets of probability distributions corresponding to similar certainty measures is presented, which can be used to approximate the probability of a given Z-number.
Abstract: In this chapter, we present a method for approximate evaluation of Zadeh’s Z-numbers using category sets of probability distributions corresponding to similar certainty measures
12 citations
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TL;DR: The moment distributions of a nonnegative random variable are defined and their applications in life length studies are indicated in this paper, where some properties of the moment distributions are employed to characterize the discrete distributions in the class of modified power series distributions introduced by the author.
Abstract: The moment distributions of a nonnegative random variable are defined and their applications in life length studies are indicated. Some properties of the moment distributions are employed to characterize the discrete distributions in the class of modified power series distributions introduced by the author (1974). In particular, characterisations of Poisson, binomial and negative binomial distributions are obtained.
12 citations