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Generalized Quadratic Hazard Rate Distribution

Ammar M. Sarhan

Abstract


This paper introduces a new distribution named generalized quadratic hazard rate distribution with four parameters. This distribution generalizes several well known distributions among these distributions are the generalized exponential, generalized Rayleigh and generalized linear hazard rate. Some of the statistical properties of this distribution are investigated. The maximum likelihood estimates of the unknown parameters of the distribution are derived. Further, the asymptotic confidence intervals for the parameters are derived from the Fisher information matrix. We applied the likelihood ratio test and Kolmogorov-Smirnov test to test the goodness of fit of the generalized quadratic hazard rate distribution. To illustrate the application of this new distribution, a set of real data is analyzed.

Keywords


Generalized linear hazard rate distribution, generalized exponential distribution, generalized Rayleigh distribution, exponentiated distributions, maximum likelihood method

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