Testing for a finite mixture model with two components

By Hanfeng Chen, Jiahua Chen, John D. Kalbfleisch. 2004

113 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/086a526a6c285b375e75c62f3cffc4b17c94ea55

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Citations in the corpus

Extending the Akaike Information Criterion to Mixture Regression Models (2007, methodology): “(For the single-component case, see Naik and Tsai 2001; for the partial linear regression model, see Chen and Jin 2006.) The second avenue is to adopt Shi and Tsai’s (2002) residual likelihood approach or Hjort and Claeskens’ (2003) frequentist model average method to further extend the applicabilit”
Testing the Number of Components in Normal Mixture Regression Models (2015, methodology): “Chen and Li (2009) develop an EM test for m0 = 1 in heteroscedastic normal mixtures, and Chen et al. (2012) develop an EM test for testing H0 : m = m0 against HA : m > m0 by splitting each component into two, thereby in effect testing against HA : m = 2m0, but neither Chen and Li (2009) nor Chen et ”
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).”
The Strategic Timing Incentives of Commercial Radio Stations: An Empirical Analysis Using Multiple Equilibria (2009, methodology): “6.1.1 Modified Likelihood Ratio Test (MLRT) MLRTs have been developed in the statistics literature (Chen et al. (2001) and Chen et al. (2004)) to test for the appropriate number of components in binomial mixture models.”
Mixture of Regression Models With Varying Mixing Proportions: A Semiparametric Approach (2012, background): “For other references, see McLachlan and Peel (2000), Chen et al. (2004), and Chen and Li (2009). The choice of the number of components is related to degrees of freedom.”
Testing the Order of a Finite Mixture (2010, methodology): “The modified likelihood ratio test (MLRT) proposed by Chen (1998) and Chen, Chen, and Kalbfleisch (2001) is easily implemented.”
Modified likelihood ratio test in finite mixture models with a structural parameter (2005, background): “The analysis of a similar statistic for testing the hypothesis k = 2 versus k > 2 is much more complicated, but also yields a relatively simple limiting null distribution (Chen et al., 2002).”