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A Limit Theorem For Bernoulli Rv'S And Feller'S Shoe Problem

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  • M. Dwass

Abstract

Consider n sets of objects, each set consisting of m distinct types (for instance n place settings each made up of m distinct dishes and silverware pieces.) s items are drawn at random from the mn items. The distribution of the number of complete sets (each consisting of all m items) in the sample of s is asymptotically Poisson distributed with parameter (a /m)m if s = an1–1 and n→∞. This fact can be interpreted in terms of a certain limit theorem for a sequence of i.i.d Bernoulli rv's.

Suggested Citation

  • M. Dwass, 1985. "A Limit Theorem For Bernoulli Rv'S And Feller'S Shoe Problem," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 39(4), pages 357-360, December.
    • Handle: RePEc:bla:stanee:v:39:y:1985:i:4:p:357-360
    DOI: 10.1111/j.1467-9574.1985.tb01154.x
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