|
Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 4, Pages 796–806
(Mi tvp3113)
|
|
|
|
This article is cited in 21 scientific papers (total in 21 papers)
Decomposable statistics and hypothesis testing. The case of small samples
G. I. Ivčenko, Yu. I. Medvedev Moscow
Abstract:
Questions of statistical hypotheses testing are considered for polynomial outcome probabilities in the scheme of series under the conditions that the number of outcomes $N$ and the number of tests $n$ increase simultaneously to infinity so that $n/N$ remains bounded. A class of tests is studied which is based on decomposable statistics of outcomes, frequencies. In particular, some results are obtained concerning the classical $\chi^2$-test and maximum likelihood ratio test.
Received: 31.05.1976
Citation:
G. I. Ivčenko, Yu. I. Medvedev, “Decomposable statistics and hypothesis testing. The case of small samples”, Teor. Veroyatnost. i Primenen., 23:4 (1978), 796–806; Theory Probab. Appl., 23:4 (1979), 764–775
Linking options:
https://www.mathnet.ru/eng/tvp3113 https://www.mathnet.ru/eng/tvp/v23/i4/p796
|
|