Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/hujms.795721 Statistics İstatistik A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation https://orcid.org/0000-0001-8767-6078 Hashempour Majid University of Hormozgan 10 01 2022 51 5 1420 1441 09 16 2020 02 22 2022 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

Based on the Topp-Leone distribution, we propose a new family of continuous distributions with one shape parameter called the weighted Topp-Leone family. We study some basic properties including quantile function, asymptotic, mixture for cdf and pdf, various entropies and order statistics.Then we study Lindley case as special case with more details. The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study. Finally, three real data sets are illustration the purposes.

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