Estimation of Parameters of Finite Mixture of Rayleigh Distribution by the Expectation-Maximization Algorithm

被引:1
|
作者
Mohammed, Noor [1 ]
Ali, Fadhaa [1 ]
机构
[1] Univ Baghdad, Coll Adm & Econ, Dept Stat, Baghdad, Iraq
关键词
EM;
D O I
10.1155/2022/7596449
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the lifetime process in some systems, most data cannot belong to one single population. In fact, it can represent several subpopulations. In such a case, the known distribution cannot be used to model data. Instead, a mixture of distribution is used to modulate the data and classify them into several subgroups. The mixture of Rayleigh distribution is best to be used with the lifetime process. This paper aims to infer model parameters by the expectation-maximization (EM) algorithm through the maximum likelihood function. The technique is applied to simulated data by following several scenarios. The accuracy of estimation has been examined by the average mean square error (AMSE) and the average classification success rate (ACSR). The results showed that the method performed well in all simulation scenarios with respect to different sample sizes.
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页数:7
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