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Estimation of the Number of Classes in a Population

✍ Scribed by Barry C. Arnold; Robert J. Beaver

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
531 KB
Volume
30
Category
Article
ISSN
0323-3847

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✦ Synopsis

The problem of estimating M , the number of classes in a population, is formulated as an occupancy problem in which N items are drawn from M urns. Under the assumption of a uniform distribution for the number of classes in the population, the sufficient statistic for M, which is the number of distinct classes observed. does not depend upon the number of repetitions in t h e sample. Point and interval estimate5 of M are developed using maximum likelihood and the method of moments.

Both techniques give rise to the same basic equation which requires a simple iterative solution. These same techniques are used in the more general situation in which the classes can be further eubdivided according to type.

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