The length-biased weighted frechet distribution: Properties and estimation

Abstract

In this paper, we introduce a new class of length-biased weighted Frechet (LBWF) distribution. The statistical properties of this distribution including the mean, variance, coefficient of variation, harmonic mean, raw and incomplete moments, skewness, kurtosis, mode, moment and probability generating functions, reliability, hazard and reverse hazard functions, Lorenz, Bonferroni and Zenga curves, Renyi of entropy, order statistics and record statistics are studied. The moment and maximum likelihood estimates are obtained for the model parameters.