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Teoriya Veroyatnostei i ee Primeneniya, 1967, Volume 12, Issue 4, Pages 718–727
(Mi tvp757)
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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
On determination of the order of a parabolic regression equation
G. N. Boganik Moscow
Abstract:
The problem of testing of statistical hypotheses about the proper degree of a parabolic regression equation is considered. There has not been any appropriate test statistic for an important case when a sequence of single observations with an unknown variance of their random errors is given. Here such a statistic is suggested and the first two moments of its distribution are obtained. The new test is shown to be asymptotically more powerful than the $\chi^2$-test.
Received: 01.03.1966
Citation:
G. N. Boganik, “On determination of the order of a parabolic regression equation”, Teor. Veroyatnost. i Primenen., 12:4 (1967), 718–727; Theory Probab. Appl., 12:4 (1967), 658–666
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https://www.mathnet.ru/eng/tvp757 https://www.mathnet.ru/eng/tvp/v12/i4/p718
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Abstract page: | 526 | Full-text PDF : | 134 | First page: | 9 |
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