Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications
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Date
2019
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ISTAT˙ IST˙ IK: JOURNAL OF THE TURKISH STATISTICAL ASSOCIATION
Abstract
This article proposes a four parameter class of lifetime model called Kumaraswamy Alpha Power Inverted Exponential (KAPIE) distribution in the family of the alpha power transformation. Various statistical properties of the KAPIE density including quantile and hazard rate functions, skewness, kurtosis, order statistics and entropies are investigated. The parameters of the KAPIE distribution are estimated by a maximum likelihood. The flexibility and behaviour of the estimators were studied through a simulation. The empirical flexibility of the KAPIE distribution was examined by means of real life data. It was observed that the KAPIE distribution can serve as an alternative model to other existing densities in literature for modeling lifetime data.
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Zelibe, S. C., Eghwerido, J. T. and Efe-Eyefia, E. (2019) Kumaraswamy Alpha Power Inverted Exponential Distribution: Istat˙ Ist˙ Ik; Journal of the Turkish Statistical Association, Vol. 12, No. 1-2, pp. 35–48. https://dergipark.org.tr/en/download/article-file/940377