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ORDERINGS OF FINITE MIXTURE MODELS WITH LOCATION-SCALE DISTRIBUTED COMPONENTS

Published online by Cambridge University Press:  14 September 2020

Ghobad Barmalzan Open the ORCID record for Ghobad Barmalzan [Opens in a new window] ,
Sajad Kosari  and
Narayanaswamy Balakrishnan
Ghobad Barmalzan
Affiliation:
Department of Statistics, University of Zabol, Sistan and Baluchestan, Iran E-mail: ghobad.barmalzan@gmail.com
Sajad Kosari
Affiliation:
Department of Mathematics, University of Zabol, Sistan and Baluchestan, Iran
Narayanaswamy Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, OntarioL8S 4L8, Canada
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Abstract

In this paper, we consider finite mixture models with components having distributions from the location-scale family. We then discuss the usual stochastic order and the reversed hazard rate order of such finite mixture models under some majorization conditions on location, scale and mixing probabilities as model parameters.

Keywords

finite mixture modelslocation parameterslocation-scale distributionmultivariate chain majorization orderreversed hazard rate orderscale parametersusual stochastic order
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 2 , April 2022 , pp. 461 - 481
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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