Mixture of Normal Mean-Variance of Lindley Distributions | Zendy

Mehrdad Naderi | Zendy; Alireza Arabpour | Zendy; Ahad Jamalizadeh | Zendy

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Mixture of Normal Mean-Variance of Lindley Distributions

Author(s) -

Mehrdad Naderi,

Alireza Arabpour,

Ahad Jamalizadeh

Publication year - 2017

Publication title -

journal of statistical research of iran

Language(s) - English

Resource type - Journals

ISSN - 1735-1294

DOI - 10.18869/acadpub.jsri.13.2.197

Subject(s) - estimator , maximum likelihood , variance (accounting) , mathematics , statistics , mean squared error , mixture model , maximum likelihood sequence estimation , restricted maximum likelihood , normal distribution , expectation–maximization algorithm , accounting , business

In this paper, a new mixture modelling using the normal meanvariance mixture of Lindley (NMVL) distribution has been considered. The proposed model is heavy-tailed and multimodal and can be used in dealing with asymmetric data in various theoretic and applied problems. We present a feasible computationally analytical EM algorithm for computing the maximum likelihood estimates. The behavior of the obtained maximum likelihood estimators is studied with respect to bias and mean squared errors through conducting a simulation study. Two examples with flow cytometry data are used to illustrate the applicability of the proposed model.

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