Semiparametric modelling of two-component mixtures with stochastic dominance.

Jingjing Wu, Tasnima Abedin, Qiang Zhao

Abstract read

In one paragraph

Article in Annals of the Institute of Statistical Mathematics, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

What it found

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4 · The record

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5 · Who and what money

Authors and funding

3 authors.

Jingjing WuDepartment of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, AB T2N 1N4 Canada.

Tasnima AbedinClinical Research Unit and Translational Laboratories, Alberta Health Services, 1331 29 Street NW, Calgary, AB T2N 4N2 Canada.

Qiang ZhaoSchool of Mathematics and Statistics, Shandong Normal University, No.1 University Road, Science Park, Changqing District, Jinan, 250358 Shandong China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this work, we studied a two-component mixture model with stochastic dominance constraint, a model arising naturally from many genetic studies. To model the stochastic dominance, we proposed a semiparametric modelling of the log of density ratio. More specifically, when the log of the ratio of two component densities is in a linear regression form, the stochastic dominance is immediately satisfied. For the resulting semiparametric mixture model, we proposed two estimators, maximum empirical likelihood estimator (MELE) and minimum Hellinger distance estimator (MHDE), and investigated their asymptotic properties such as consistency and normality. In addition, to test the validity of the proposed semiparametric model, we developed Kolmogorov-Smirnov type tests based on the two estimators. The finite-sample performance, in terms of both efficiency and robustness, of the two estimators and the tests were examined and compared via both thorough Monte Carlo simulation studies and real data analysis. Supplementary Information: The online version contains supplementary material available at 10.1007/s10463-022-00835-5.

Indexed as

Asymptotic normality and robustnessMaximum empirical likelihood estimatorMinimum Hellinger distance estimatorStochastic dominanceTwo-component semiparametric mixture model

Identifiers

PMID35645407

DOI10.1007/s10463-022-00835-5

PMCPMC9127045

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.