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03- Journal of Statistics Applications & Probability
An International Journal


Volumes > Vol. 12 > S1


Quadratic Transmuted Modified Size-Biased Lehmann Type-II Distribution

PP: 1425-1437
M. Ibrahem, M. M. Nassar, S. S. Radwan, A. Elmasry,
In this paper, a two-parameter generalization of Modified Size-Biased Lehmann Type-II distribution is obtained, with the purpose of obtaining a more flexible model relative to the behaviour of hazard rate functions. Various statistical properties of this distribution including the density, hazard rate functions, quantile function, mode, moments, incomplete moments, moment generating functions, Lorenz, Bonferroni and Zenga curves, Rényi entropy and distribution of 𝑟"# order statistics have been derived. The method of maximum likelihood estimation has been used to estimate the parameters of the Quadratic Transmuted-Modified Size-Biased Lehmann Type-II distribution and its performance is discussed by following a simulation study. Real data sets are presented to demonstrate the effectiveness of the new model.

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