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Efficient estimation in the Topp-Leone distribution (1701.03822v1)
Published 13 Jan 2017 in stat.ME and stat.AP
Abstract: In the current paper, the estimation of the probability density function and the cumulative distribution function of the Topp-Leone distribution is considered. We derive the following estimators: maximum likelihood estimator, uniformly minimum variance unbiased estimator, percentile estimator, least squares estimator and weighted least squares estimator. A simulation study shows that the maximum likelihood estimator is more efficient than the others estimators.