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Multinomial estimation procedures for isotonic cones

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  • Dykstra, R. L.
  • Lee, Chu-In Charles

Abstract

Standard estimation procedures in a multinomial setting are the methods of maximum likelihood, minimum chi-square, Neyman modified minimum chi-square, minimum discriminate information, and the Freeman-Tukey criteria: In this paper it is shown that if the parameter region of interest is restricted by an isotonic cone, then all these procedures can be related and the corresponding estimates expressed in terms of equal weights, least squares projections.

Suggested Citation

  • Dykstra, R. L. & Lee, Chu-In Charles, 1991. "Multinomial estimation procedures for isotonic cones," Statistics & Probability Letters, Elsevier, vol. 11(2), pages 155-160, February.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:2:p:155-160
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    Cited by:

    1. Chu-In Lee & Wei Liu & Chul Park & Jianan Peng, 2012. "Inference for comparing a multinomial distribution with a known standard," Statistical Papers, Springer, vol. 53(3), pages 775-788, August.
    2. Dykstra, R. L. & Lee, Chu-In Charles & Yan, Xiaosong, 1996. "Multinomial estimation procedures for two stochastically ordered distributions," Statistics & Probability Letters, Elsevier, vol. 30(4), pages 353-361, November.

    More about this item

    Keywords

    Isotonic multinomial;

    Statistics

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