Power Ishita distribution and its application to model  lifetime data

Kamlesh  Kumar Shukla; Rama  Shanker

doi:https://doi.org/10.21307/stattrans-2018-008

Power Ishita distribution and its application to model lifetime data

Kamlesh Kumar Shukla First author: Department of Statistics, College of Science, Eritrea Institute of Technology, Asmara, Eritrea. , Rama Shanker Corresponding author: Department of Statistics, College of Science, Eritrea Institute of Technology, Asmara, Eritrea. Statistics in Transition new series, vol. 19, 2018, 1, pages: 135-148 Published online: 1 March 2018 https://doi.org/10.21307/stattrans-2018-008

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ABSTRACT

A study on two-parameter power Ishita distribution (PID), of which Ishita distribution introduced by Shanker and Shukla (2017 a) is a special case, has been carried out and its important statistical properties including shapes of the density, moments, skewness and kurtosis measures, hazard rate function, and stochastic ordering have been discussed. The maximum likelihood estimation has been discussed for estimating its parameters. An application of the distribution has been explained with a real lifetime data from engineering, and its goodness of fit shows better fit over two-parameter power Akash distribution (PAD), twoparameter power Lindley distribution (PLD) and one-parameter Ishita, Akash, Lindley and exponential distributions.

KEYWORDS

Ishita distribution, moments, hazard rate function, stochastic ordering, maximum likelihood estimation, goodness of fit.

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