Kapak Resmi

Statistical Inference Under Mixture Models

This book puts its weight on theoretical issues related to finite mixture models. It shows that a good applicant, is an applicant who understands the issues behind each statistical method. This book is intended for applicants whose interests include some understanding of the procedures they are usin...

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Kaydedildi:
Detaylı Bibliyografya
Yazar: Chen, Jiahua (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: Elektronik Ekitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Edisyon:1st ed. 2023.
Seri Bilgileri:ICSA Book Series in Statistics,
Konular:
Statistics .
Statistical Theory and Methods.
Online Erişim:https://doi.org/10.1007/978-981-99-6141-2
Etiketler: Etiketle
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İçindekiler:
  • 1. Introduction to mixture models
  • 2. Nonparametric MLE and its consistency
  • 3. Maximum likelihood estimation under finite mixture models
  • 4. Estimation under finite normal mixture models
  • 5. Consistent estimation under finite Gamma mixture
  • 6. Geometric properties of nonparametric MLE and numerical solutions
  • 7. EM-algorithm
  • 8. Rate of convergence
  • 9. Test of homogeneity
  • 10. Likelihood ratio test for homogeneity
  • 11. Modified likelihood ratio test
  • 12. Modified likelihood ratio test for higher order
  • 13 EM-test for homogeneity
  • 14 EM-test for higher order
  • 15 EM-test for univariate finite Gaussian mixture models
  • 16 Order selection of the finite mixture models
  • 17 A few key probability theory results employed
  • References.

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