On Generalized Probability Distribution and Generalized Mixture Distribution
نویسنده
چکیده
A generalized probability distribution is developed which served as a general formula for some well known probability distributions such as weibull, exponential, rayleigh. gamma, log-nonnal. pareto. maxwell, generalized laplace etc. Besides aforesaid probahility distributions, a family of new disuibutions can also be derived from it. The statistical properties viz. moments and moment generating function have been worked out for generalized probability distribution (G.P.D.) A mixture (or compounded) distribution by mixing gamma distribution with G.P.D., called generalized probability distrihution of mixture (G.P.D.M.) has also been obtained. Cauchy's, beta, t, reversed generalized logistic distributions are shown to be members of G.P.D.M.
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