On Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical Review
Habib Ahmed Elsayir1 Show affiliations
- Department of Mathematics, Al Qunfudha University College, Umm Al Qura University (K.S.A), P.O.Box 1109-21912, Saudi Arabia
American Journal of Applied Sciences, Volume 17, Issue 1, pp. 88–94 · doi.org/10.3844/ajassp.2020.88.94
Abstract
This paper focuses on derivation of a mixture of exponential distribution and Linear Moments (LM) and Trimmed Linear moments (TL) is derived for estimation of its parameters. A comparison was made between L-moments, TL-moments of two component mixture of exponential distributions and conventional moments. In intensive simulation study, empirical study results are in the favor of conventional moments, the reason is that the L and TL-moments provided sometimes nearly unbiased results; sometimes much biased. Due to this vast variation, admittedly this study is in the favor of the conventional moments even its results are not much accurate and efficient.
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Elsayir, H. A. (2020). On Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical Review. American Journal of Applied Sciences, 17(1), 88–94. https://doi.org/10.3844/ajassp.2020.88.94
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