Work

Stochastic Comparisons for Finite Mixtures from Location-scale Family of Distributions

Year: 2024

Type: article

Abstract: In this study, we consider two finite mixture models (FMMs) with location-scale family distributed components, in which ordering results are established in various stochastic senses. For heterogeneity in one parameter, the comparisons are obtained with respect to usual stochastic order, hazard rate order, reversed hazard rate order and likelihood ratio order. Further, for heterogeneity in two parameters, we derive sufficient conditions for the stochastic comparison of FMMs with respect to usual stochastic order and hazard rate order. Various examples and counterexamples are presented to illustrate the proposed results.

Source: Methodology And Computing In Applied Probability

DOI: 10.1007/s11009-024-10121-x

Authors: Raju Bhakta, Suchandan Kayal, Maxim Finkelstein

Institutions: National Institute of Technology Rourkela, University of Strathclyde, University of the Free State

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: University Grants Commission