The likelihood ratio test for homogeneity in finite mixture models

By Hanfeng Chen, Jiahua Chen. 2001

107 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Food Science

View Paper: https://www.semanticscholar.org/paper/c1ba8018f436c3562f4a483dd0d347a6be072c24

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Jiahua Chen
2. Pengfei Li
3. Hiroyuki Kasahara
4. Katsumi Shimotsu
5. Abbas Khalili
6. Heping Zhang
7. Richard J. Charnigo
8. Jiayang Sun

In Food Science

1. Richard J. Charnigo
2. Hong-Tu Zhu
3. Jiayang Sun
4. Abbas Khalili
5. Heping Zhang
6. Jiahua Chen
7. John D. Kalbfleisch

Citations in the corpus

• Testing for a finite mixture model with two components (2004, background): “Some important recent developments can be found in Bickel andChernoff (1993), Cheng andTraylor (1995), Chernoff and Lander (1995), Qin (1998), Lemdani and Pons (1999), Liang and Rathouz (1999) and Chen and Chen (2001).”
• Testing Homogeneity in a Mixture Distribution via the L2 Distance Between Competing Models (2004, methodology): “Until Section 7 we assume that the Oµi and the Opi are maximum likelihood estimators obtained via an expectation maximization (EM) algorithm.”
• A modified likelihood ratio test for homogeneity in finite mixture models (2001, background): “Cheng and Traylor (1995) discussed irregular models which include finite mixture models.”
• Hypothesis testing in mixture regression models (2004, methodology): “Moreover, assumption 3 assumes the positive definitiveness of J.µ/, which is a generalization of the strong identifiability conditions that were used in Chen (1995) and Chen and Chen (2001).”
• Testing the Number of Components in Normal Mixture Regression Models (2015, background): “…been written on the subject of the LRT for the number of components (see, e.g., Ghosh and Sen 1985; Chernoff and Lander 1995; Lemdani and Pons 1997; Chen and Chen 2001, 2003; Garel 2001, 2005; Chen, Chen, and Kalbfleisch 2004), and the asymptotic distribution of the LRT statistic for general…”
• Order Selection in Finite Mixture Models With a Nonsmooth Penalty (2008, methodology): “…most influential methods in this class include the C(α) test of Neyman and Scott (1966) and methods based on likelihood ratio techniques, such as those of Ghosh and Sen (1985), McLachlan (1987), Dacunha-Castelle and Gassiat (1999), Chen and Chen (2001), and Chen, Chen, and Kalbfleisch (2001, 2004).”
• Modified likelihood ratio test in finite mixture models with a structural parameter (2005, background): “An alternative, discussed in McLachlan (1987), Chen and Chen (2001) and elsewhere, is to use resampling methods.”
• Testing the Order of a Finite Mixture (2010, background): “…the parameter space to a compact space, under which the limiting distributions of the LRT are presented as functions of the supremum of Gaussian processes (see, e.g., Ghosh and Sen 1985; Chernoff and Lander 1995; Dacunha-Castelle and Gassiat 1999; Chen and Chen 2001; Liu and Shao 2003; Garel 2005).”