Exponentiated Geometric Distribution: Another Generalization of Geometric Distribution |
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Authors: | Subrata Chakraborty Rameshwar D Gupta |
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Institution: | 1. Department of Statistics, Dibrugarh University, Dibrugarh, Assam, Indiasubrata_arya@yahoo.co.in;3. University of New Brunswick, Saint John, NB, Canada |
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Abstract: | Exponentiated geometric distribution with two parameters q(0 < q < 1) and α( > 0) is proposed as a new generalization of the geometric distribution by employing the techniques of Mudholkar and Srivastava (1993). A few realistics basis where the proposed distribution may arise naturally are discussed, its distributional and reliability properties are investigated. Parameter estimation is discussed. Application in discrete failure time data modeling is illustrated with real life data. The suitability of the proposed distribution in empirical modeling of other count data is investigated by conducting comparative data fitting experiments with over and under dispersed data sets. |
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Keywords: | Exponentiated Weibull distribution Exponentiated Exponential distribution Hazard rate Reverse hazard rate AIC |
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