Abstract
Likelihood ratio tests for and against a stochastic ordering between two multinomial populations are considered by Robertson and Wright as discrete analogues for the one-sided Mann-Whitney-Wilcoxon and Kolmogorov-Smirnov tests. They obtained closed form expressions for the maximum likelihood estimates when all frequencies are positive. The purpose of this article is to provide closed form expressions for the maximum likelihood estimates with fixed and random zeros.
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References
Barlow, R. E., D. J. Bartholomew, J. M. Bremner, and H. D. Brunk (1972),Statistical Inference Under Order Restrictions. New York: Wiley and Sons.
Robertson, T. (1965), “A note on the reciprocal of the conditional expectation of a positive random variable”.Annals of Mathematical Statistics 36, 1302–1305.
Robertson, T., and F. T. Wright (1981), “Likelihood ratio tests for and against a stochastic ordering between multinomial populations”.Annals of Statistics 9, 1248–1257.
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© 1987 D. Reidel Publishing Company
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Lee, CI.C. (1987). Maximum Likelihood Estimates for Stochastically Ordered Multinomial Populations with Fixed and Random Zeros. In: MacNeill, I.B., Umphrey, G.J., Safiul Haq, M., Harper, W.L., Provost, S.B. (eds) Advances in the Statistical Sciences: Foundations of Statistical Inference. The University of Western Ontario Series in Philosophy of Science, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4788-7_17
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DOI: https://doi.org/10.1007/978-94-009-4788-7_17
Publisher Name: Springer, Dordrecht
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