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Good-Turing frequency estimation in a finite population
期刊文章

Good-Turing frequency estimation in a finite population

Wen-Han Hwang, Chih-Wei LinTsung-Jen Shen
Biometrical Journal, 卷.57(2), 頁碼.321-339
03/2015
PMID: 25394337

摘要

Finite population Frequency estimation Good-Turing Number-of-classes estimation Sample coverage Shannon index Statistics and Probability Statistics Probability and Uncertainty
Good-Turing frequency estimation (Good, ) is a simple, effective method for predicting detection probabilities of objects of both observed and unobserved classes based on observed frequencies of classes in a sample. The method has been used widely in several disciplines, such as information retrieval, computational linguistics, text recognition, and ecological diversity estimation. Nevertheless, existing studies assume sampling with replacement or sampling from an infinite population, which might be inappropriate for many practical applications. In light of this limitation, this article presents a modification of the Good-Turing estimation method to account for finite population sampling. We provide three practical extensions of the modified method, and we examine performance of the modified method and its extensions in simulation experiments.

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