论文信息 - On identifiability of certain latent class models

On identifiability of certain latent class models

Blischke [1962. Moment estimators for the parameters of a mixture of two binomial distributions. Ann. Math. Statist. 33, 444-454] studies a mixture of two binomials, a latent class model. In this article we generalize this model to a mixture of two products of binomials. We show when this generalized model is identifiable.

Wessel N. van Wieringen | W. N. Wieringen

[1] W. Blischke. Moment Estimators for the Parameters of a Mixture of Two Binomial Distributions , 1960 .

[2] D. Bartholomew. Latent Variable Models And Factor Analysis , 1987 .

[3] M. Tan,et al. Random effects models in latent class analysis for evaluating accuracy of diagnostic tests. , 1996, Biometrics.

[4] K. Stromberg. Introduction to classical real analysis , 1981 .

[5] P. Bickel,et al. Mathematical Statistics: Basic Ideas and Selected Topics , 1977 .

[6] A. F. Smith,et al. Statistical analysis of finite mixture distributions , 1986 .

[7] R. McHugh. Efficient estimation and local identification in latent class analysis , 1956 .

[8] A. Formann,et al. Latent Class Model Diagnosis from a Frequentist Point of View , 2003, Biometrics.

[9] L. A. Goodman. Exploratory latent structure analysis using both identifiable and unidentifiable models , 1974 .

[10] S. Walter,et al. Estimating the error rates of diagnostic tests. , 1980, Biometrics.