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A subset selection procedure for multinomial distributions

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  • Saad T. Bakir

Abstract

A subset selection procedure is developed for selecting a subset containing the multinomial population that has the highest value of a certain linear combination of the multinomial cell probabilities; such population is called the 'best' The multivariate normal large sample approximation to the multinomial distribution is used to derive expressions for the probability of a correct selection, and for the threshold constant involved in the procedure. The procedure guarantees that the probability of a correct selection is at least at a pre-assigned level. The proposed procedure is an extension of Gupta and Sobel's [14] selection procedure for binomials and of Bakir's [2] restrictive selection procedure for multinomials. One illustration of the procedure concerns population income mobility in four countries: Peru, Russia, South Africa and the USA. Analysis indicates that Russia and Peru fall in the selected subset containing the best population with respect to income mobility from poverty to a higher-income status. The procedure is also applied to data concerning grade distribution for students in a certain freshman class.

Suggested Citation

  • Saad T. Bakir, 2013. "A subset selection procedure for multinomial distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(7), pages 1608-1618, July.
    • Handle: RePEc:taf:japsta:v:40:y:2013:i:7:p:1608-1618
    DOI: 10.1080/02664763.2013.789493
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