منابع مشابه
On a Class of Unimodal Distributions
A distribution function F(x) is said to be unimodal [l, p. 157] if there exists at least one value x = a such that F(x) is convex for xa. The point x = a is called the vertex of the distribution. In particular, if F(x) is absolutely continuous, then the corresponding probability density function p(x) = F'{x) is nondecreasing for xa. In the present...
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Unimodality is one of the building structures of distributions that like skewness, kurtosis and symmetry is visible in the shape of a function. Comparing two different distributions, can be a very difficult task. But if both the distributions are of the same types, for example both are unimodal, for comparison we may just compare the modes, dispersions and skewness. So, the concept of unimodali...
متن کاملProperties of Unimodal Distributions and Some of Their Applications
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We introduce a new concept of skewness for unimodal continuous distributions which is built on the asymmetry of the density function around its mode. The asymmetry is captured through a skewness function. We call a distribution homogeneously skewed if this skewness function is consistently positive or negative throughout its domain, and partially homogeneously skewed if the skewness function ch...
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In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains the bivariate generalized exponential-Poisson, bivariate generalized exponential-logarithmic, bivariate generalized exponential-binomial and bivariate generalized exponential-negative binomial distributions as specia...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1961
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1961-0121826-3