Estimating the number of classes

By Chang Xuan Mao, Bruce G. Lindsay. 2007

79 citations recorded by the source corpus.

Estimating the unknown number of classes in a population has numerous important applications. In a Poisson mixture model, the problem is reduced to estimating the odds that a class is undetected in a sample. The discontinuity of the odds prevents the existence of locally unbiased and informative estimators and restricts confidence intervals to be one-sided. Confidence intervals for the number of classes are also necessarily one-sided. A sequence of lower bounds to the odds is developed and used to define pseudo maximum likelihood estimators for the number of classes.

Subfields: Epidemiology, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/87d5ef444a01d8aabf3780eaf5818b46c97c148a

Citations in the corpus

• Chebyshev polynomials, moment matching, and optimal estimation of the unseen (2015, unknown): “, Good-Toulmin estimator [15]), one-sided estimator [24].”