International Journal of Applied Science and Technology

ISSN 2221-0997 (Print), 2221-1004 (Online) 10.30845/ijast

Proposing a New Mixture Statistical Distribution Exponential � Kumaraswamy
Mohammed Qadoury Abed; Elaf Bahaa Alwan; Prof. Abbas Lafta Kneehr;

In general, statistical distributions are divided into two types: probability distributions and complex probability Distributions. In this study, a new probabilistic model is used for the three-dimensional (exponential) curve. We have also discussed its mathematical properties such as probability density function, probability function Diagram, cumulative distribution function, reliability function, and risk function are stated. We have used the maximum likelihood method to estimate the proposed the parameter of the model. The most important conclusions are: the maximum likelihood method has shown itself as one of the best methods, we have observed that the reliability function is a decreasing function, by the theoretical definition, the more the sample sizes increase the reliability decreases and composite distributions are better than other distributions.

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