COMPARING MAXIMUM LIKELIHOOD AND LEAST SQUARES  AND MOMENTS METHOD FOR TAS DISTRIBUTION

Salma Omar Bleed; Arwa Elsunousi Abdelali

doi:10.59743/jbs.v31i.101

المؤلفون

Salma Omar Bleed Department of Statistics, Collage of Science, Al-Asmarya University, Zliten-Libya
Arwa Elsunousi Abdelali Libyan Academic of Postgraduate Studies, Misurata – Libya

DOI:

https://doi.org/10.59743/jbs.v31i.101

الكلمات المفتاحية:

ArcSine Distribution، Maximum Likelihood Method، Least Square Methods، Moments Method، Reliability Function، Estimated of Parameters

الملخص

This paperdeals with the newly developed distribution which called Transmuted Arcsine Distribution (TAS) for Salma and Arwa (2018). Classical estimation methods such as Maximum Likelihood (ML), Least Squares (LS) and the Moments Method (MOM) are used to estimate the unknown parameter and the reliability function. Moreover, the comparing between the classical methods are presented in terms of estimated quality using MSE of the estimator and MSE of the reliability function. Finally, three real data sets are analyzed to illustratesthe proposed methods

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