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Titlebook: Statistical Inference Under Mixture Models; Jiahua Chen Book 2023 Springer Nature Singapore Pte Ltd. 2023 EM-algorithm.EM-test.Hypothesis

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楼主: 猛烈抨击
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Finite Mixture MLE and EM Algorithm,models. This chapter also addresses the critical matter of algorithm convergence, taking into consideration the global convergence theorem. Additionally, it provides specific insights into the workings of the EM algorithm.
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A Few Key Probability Theory Results,e sometimes quoted from papers or books without specifying their applicability to a given context, making it challenging to ensure that the required conditions are met. Chapter 17 compiles some of these cited conclusions from the previous chapters to facilitate reference and ensure clarity regarding their specific contexts.
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Estimation Under Finite Normal Mixture Models,maximum likelihood estimator is consistent. To attain consistency in the likelihood-based approach, one can apply a penalty function to the likelihood. Chapter 4 charges into these issues and more, offering a comprehensive examination of the most crucial asymptotic properties.
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Test of Homogeneity,ore test, exhibits a simple limiting distribution and proves to be an effective tool for homogeneity testing in mixture models with single-parameter subpopulation distributions. Chapter 9 is dedicated to introducing the C(.) test and providing specific expressions for its application within NEF-VEF mixtures.
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Modified Likelihood Ratio Test,ducing a penalty term to the log likelihood function, the modified likelihood ratio test mitigates one of these issues, restoring a degree of regularity. Chapter 11 is dedicated to providing a detailed analysis of the limiting distribution for the modified likelihood ratio test for homogeneity.
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