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Abstract

For the first time, a five-parameter distribution, called the kumaraswamy quadratic hazard rate distribution is defined and studied. The new distribution contains as special models some well-known distributions discussed in lifetime literature, such as the Linear failure rate, Exponential and Rayleigh distributions, among several others. We obtain the moments, moment generating and quantile functions. We discuss the method of maximum likelihood to estimate the model parameters and determine the observed information matrix. A real data sets illustrate the importance and flexibility of the proposed models.

Keywords

Quadratic Hazard Rate distribution Order Statistics Maximum Likelihood Estimation Reliability Function.

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How to Cite
Elbatal, I., & Butt, N. S. (2014). A New Generalization of Quadratic Hazard Rate Distribution. Pakistan Journal of Statistics and Operation Research, 9(4), 343-361. https://doi.org/10.18187/pjsor.v9i4.678

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