A NEW APPROACH OF VARIABLE SELECTION IN FINITE MIXTURE OF SEMI-PARAMETRIC REGRESSION MODELS WITH POISSON DISTRIBUTION

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HEIDARI MALIHEH; ESKANDARI FARZAD

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2017 | Volume:11 | Issue:1 Page(s): 57-75

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Title

A NEW APPROACH OF VARIABLE SELECTION IN FINITE MIXTURE OF SEMI-PARAMETRIC REGRESSION MODELS WITH POISSON DISTRIBUTION

Author(s)

HEIDARI MALIHEH | ESKANDARI FARZAD | Issue Writer Certificate

Keywords

EM ALGORITHMQ2

OVERDISPERSIONQ1

EXCESS ZEROSQ1

SEMI-PARAMETRIC REGRESSIONQ1

FINITE MIXTURE MODELQ1

Abstract

In this paper the issue of variable selection with new approach in finite mixture of SEMI-PARAMETRIC REGRESSION models is studying, although it is supposed that data have Poisson distribution. When we use Poisson distribution, two problems such as OVERDISPERSION and EXCESS ZEROS will happen that can affect on variable selection and parameter estimation. Actually parameter estimation in parametric component of the SEMI-PARAMETRIC REGRESSION model is done by penalized likelihood approach. However, in nonparametric component after local approximation using Teylor series, the estimation of nonparametric coefficients along with estimated parametric coefficients will be calculated. Using new approach leads to a properly variable selection results. In addition to representing related theories, OVERDISPERSION and EXCESS ZEROS are considered in data simulation section and using EM ALGORITHM in parameter estimation leads to increase the accuracy of end results.

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APA: Copy

HEIDARI, MALIHEH, & ESKANDARI, FARZAD. (2017). A NEW APPROACH OF VARIABLE SELECTION IN FINITE MIXTURE OF SEMI-PARAMETRIC REGRESSION MODELS WITH POISSON DISTRIBUTION. JOURNAL OF STATISTICAL SCIENCES, 11(1 ), 57-75. SID. https://sid.ir/paper/124078/en

Vancouver: Copy

HEIDARI MALIHEH, ESKANDARI FARZAD. A NEW APPROACH OF VARIABLE SELECTION IN FINITE MIXTURE OF SEMI-PARAMETRIC REGRESSION MODELS WITH POISSON DISTRIBUTION. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2017;11(1 ):57-75. Available from: https://sid.ir/paper/124078/en

IEEE: Copy

MALIHEH HEIDARI, and FARZAD ESKANDARI, “A NEW APPROACH OF VARIABLE SELECTION IN FINITE MIXTURE OF SEMI-PARAMETRIC REGRESSION MODELS WITH POISSON DISTRIBUTION,” JOURNAL OF STATISTICAL SCIENCES, vol. 11, no. 1 , pp. 57–75, 2017, [Online]. Available: https://sid.ir/paper/124078/en

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