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em-Test for Higher Order

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Statistical Inference Under Mixture Models

Part of the book series: ICSA Book Series in Statistics ((ICSABSS))

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Abstract

Chapter 14 serves as a natural extension of the preceding chapter, offering a comprehensive examination of the EM-test when applied to high-order null hypotheses within the finite mixture model. While certain aspects of the results align with those of the modified likelihood ratio test, the unique design of the EM-test enables a clear presentation of the limiting distribution. Importantly, this presentation comes with fewer restrictions on the finite mixture model, making it applicable to a wider range of scenarios, including general orders.

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References

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  • Li, S., J. Chen, and P. Li. 2022. MixtureInf: Inference for finite mixture models. R package version 2.0. https://github.com/jhchen-stat-ubc-ca/Mixturelnf2.0

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Chen, J. (2023). em-Test for Higher Order. In: Statistical Inference Under Mixture Models. ICSA Book Series in Statistics. Springer, Singapore. https://doi.org/10.1007/978-981-99-6141-2_14

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