Abstract
New Odd Generalized Exponential - Exponential Distribution: Its Properties and Application
Highlights
Badamasi Abba and Singh VV*In academia, inducing a shape parameter to an exponential probability model has been an old practice and quite number of approaches for doing so were discussed in the literature
Inducing of new shape parameter(s) to an existing probability model expands the model into a larger family of distributions and this provides a significantly skewed and heavy-tails probability distribution models
Several generalizations of exponential distribution have been studied, among them are generalized exponential distributions [4], ExponentialWeibull distribution, The Kumaraswamy exponential-Weibull distribution and many more have appeared in literature
Summary
In academia, inducing a shape parameter to an exponential probability model has been an old practice and quite number of approaches for doing so were discussed in the literature. We introduce two shape parameters to the exponential probability model using an idea proposed in a recent study and this resulted in a new three-parameter probability distribution entitled New Odd Generalized ExponentialExponential distribution. The proposed probability model can serve as a better alternative to a sister probability distribution entitled Odd Generalized Exponential-Exponential distribution developed in an earlier research using a certain probability generator. Two datasets were analyzed to compare the performance of our proposed probability distribution with the existing odd generalized exponential-exponential distribution; and it was observed that, the proposed model fits the two datasets better.
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