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Empirical distribution function in an experiment with binomial randomization
O. I. Shipilov Central Aerological Observatory
Abstract:
The paper examines an empirical distribution function generated by a random binomial sampling from a finite population. A comparative binomially randomized experiment is represented as a procedure of alternative binomial sampling from two finite populations. The proposed analogues of the Kolmogorov and Smirnov tests are based on probabilities introduced by binomial sampling.
Keywords:
empirical distribution function, binomial random sampling, finite population, randomized experiment, Kolmogorov and Smirnov tests.
Received: 03.12.1993
Citation:
O. I. Shipilov, “Empirical distribution function in an experiment with binomial randomization”, Teor. Veroyatnost. i Primenen., 41:2 (1996), 310–322; Theory Probab. Appl., 41:2 (1997), 307–316
Linking options:
https://www.mathnet.ru/eng/tvp2936https://doi.org/10.4213/tvp2936 https://www.mathnet.ru/eng/tvp/v41/i2/p310
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