General Mathematics, Vol. 4, 1996

Ioan Pienaru -- Remarks on the gamma and beta distributions

Abstract: The following problem may be formulated: {\it by using only the frequency and the mean to find mean deviation}. In the last years many authors have obtained the exact mean deviation of some discrete distributions. A good source of references is A.R. Kamat$\!'$s report (1963). Here we solve the above problem in the case of the following continuous distributions: Gamma, $\chi^{2}$ and Beta. As an application, the exact probability of a certain event is given in a convenient form.

Classification (MSC91): 60E05

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