Class of unimodal distributions and its transformations
نویسندگان
چکیده
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...
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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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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1978
ISSN: 0528-2195
DOI: 10.21136/cpm.1978.117966