In this paper, we give new characterizations of exponential distributions on positive semigroups and we study the corresponding gamma distributions that govern semigroup products of independent and ...

Let X1, n ≤ ... ≤ Xn,n, be the order statistics of a sample of size n from a distribution function F. Desu (1971) showed that if for all n ≥ 2, nX1,n is identically distributed as X1,1, then F is the ...

Continuous Variable: can take on any value between two specified values. Obtained by measuring. Discrete Variable: not continuous variable (cannot take on any value between two specified values).

Specify shape parameter for the beta or gamma distribution ALPHA= Specify shape parameter for the beta distribution BETA= Specify shape parameter for the Weibull distribution or for distribution ...

The authors propose a formal mathematical measure to assess the versatility (simplicity and adaptability) of parametric frequency and severity distributions before use. They compute and compare the ...

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...