English

Efficient estimation in the Topp-Leone distribution

Methodology 2017-01-17 v1 Applications

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.

Keywords

Cite

@article{arxiv.1701.03822,
  title  = {Efficient estimation in the Topp-Leone distribution},
  author = {Lazhar Benkhelifa},
  journal= {arXiv preprint arXiv:1701.03822},
  year   = {2017}
}

Comments

12pages

R2 v1 2026-06-22T17:49:57.298Z