On Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical Review

Habib Ahmed Elsayir

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On Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical Review

机译：使用常规和TL矩估计指数分布的混合，理论综述

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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.

机译：本文重点介绍指数分布和线性时刻（LM）和修剪线性时刻（TL）的衍生，以估计其参数。在L-MOCENTS，两种组分混合物的矩和常规时刻的TL-矩之间进行了比较。在密集的模拟研究中，实证研究结果对传统的时刻有利，原因是L和TL-MOMENT有时几乎是无偏的结果;有时很大偏见。由于这种巨大的变化，甚至其结果甚至是其结果的常规时刻，这项研究甚至是它的结果并不多。

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来源
《American journal of applied sciences》 |2020年第1期|88-94|共7页
作者
Habib Ahmed Elsayir;
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作者单位

Department of Mathematics Al Qunfudha University College Umm Al Qura University (K.S.A) P.O.Box 1109-21912 Saudi Arabia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Distribution Function; Exponential Distribution L-moments and TL-moments; Order Statistics; Parameter Estimation; Probability Density Function;

机译：分配功能;指数分布L-时刻和TL-MOMENTS;订单统计;参数估计;概率密度函数;

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1. On Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical Review [J] . Habib Ahmed Elsayir American journal of applied sciences . 2020,第1期

机译：使用常规和TL矩估计指数分布的混合，理论综述
2. Robust Parameter Estimation Methods: L_Moments and TL-Moments of Probability Distributions [J] . Journal of Applied Mathematics and Bioinformatics . 2014,第2期

机译：鲁棒的参数估计方法：概率分布的L_Moments和TL-Moments
3. Renewal Function under Prefailure Lives Distributed as a Mixture of n Exponential Distributions: Obtaining the Parameters of Mixtures Using the Method of Moments [J] . I. M. Fedotova, V. I. Vaynshtein, G. M. Tsibulskii, Journal of Machinery Manufacture and Reliability . 2019,第3期

机译：保养生活下的续展功能分布为N指数分布的混合：使用时刻的方法获得混合物的参数
4. Recursive estimation of mixtures of exponential and normal distributions [C] . Suzdaleva Evgenia, Nagy Ivan, Mlynarova Tereza International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications . 2015

机译：指数分布和正态分布混合的递归估计
5. A class of beta-exponential distributions: Properties, estimation and applications. [D] . Maynard, Jacinth A. 2003

机译：一类beta指数分布：属性，估计和应用。
6. Estimation and prediction for mixtures of the exponential distribution [O] . Herbert Robbins 1980

机译：指数分布混合的估计和预测
7. On Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical Review [O] . Habib Ahmed Elsayir 2020

机译：使用常规和TL矩估计指数分布的混合，理论综述
8. Estimation in mixtures of poisson and mixtures of exponential distributions [R] . Cohen, A. C., Jr. 1965

机译：泊松混合指数分布的估计

On Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical Review

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