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Contributions to the Theory of Rank Order Statistics: The Two-Sample Censored Case
U. V. R. Rao, I. R. Savage and M. Sobel
The Annals of Mathematical Statistics
Vol. 31, No. 2 (Jun., 1960), pp. 415-426
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2237957
Page Count: 12
You can always find the topics here!Topics: Random variables, Censorship, Experimentation, Sample size, Statistical theories, Statistics, Mathematical lattices, Syntactical antecedents, Statistical variance, Density
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Rank order theory is developed for the two-sample problem in which censoring of the observations has occurred, i.e., not all of the random variables are observed. The approach is similar to  with the striking difference that in the present case the rank orders are not all equally likely under the null hypothesis, and thus it becomes important to work with the likelihood ratios of rank orders. In applying the results of this paper, there will be a strong analogy to sequential analysis. The censoring scheme corresponds to the stopping rule and in both cases the terminal decision should be based on the likelihood ratio. We do not give the detailed applications of the present theory either to earlier procedures or to the new ones introduced here.
The Annals of Mathematical Statistics © 1960 Institute of Mathematical Statistics