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20092025
most citedHypothesis test for normal mixture models: The EM approach

173 citations · 251 across the 25 of their papers we have counts for

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6 papers · 1 filter

math.ST2025★ 7 cited

On consistency of the MLE under finite mixtures of location-scale distributions with a structural parameter

Guanfu Liu, Pengfei Li, Yukun Liu +1

We provide a general and rigorous proof for the strong consistency of maximum likelihood estimators of the cumulative distribution function of the mixing distribution and structura…

math.ST2021★ 1 cited

Semiparametric inference on Gini indices of two semicontinuous populations under density ratio models

Meng Yuan, Pengfei Li, Changbao Wu

The Gini index is a popular inequality measure with many applications in social and economic studies. This paper studies semiparametric inference on the Gini indices of two semicon…

math.ST2021★ 1 cited

Semiparametric empirical likelihood inference with estimating equations under density ratio models

Meng Yuan, Pengfei Li, Changbao Wu

The density ratio model (DRM) provides a flexible and useful platform for combining information from multiple sources. In this paper, we consider statistical inference under two-sa…

math.ST2019

Test for homogeneity with unordered paired observations

Jiahua Chen, Pengfei Li, Jing Qin +1

In some applications, an experimental unit is composed of two distinct but related subunits. The response from such a unit is but we observe only $Y_1 = \min\{X_{1…

math.ST2017★ 4 cited

Asymptotic coverage probabilities of bootstrap percentile confidence intervals for constrained parameters

Chunlin Wang, Paul Marriott, Pengfei Li

The asymptotic behaviour of the commonly used bootstrap percentile confidence interval is investigated when the parameters are subject to linear inequality constraints. We concentr…

math.ST2009★ 173 cited

Hypothesis test for normal mixture models: The EM approach

Jiahua Chen, Pengfei Li

Normal mixture distributions are arguably the most important mixture models, and also the most technically challenging. The likelihood function of the normal mixture model is unbou…