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The author considers a sequence of discrete random variables \((X_ i)_{i=1,2,...}\) where the probability distribution for \(i>\theta\) is different from the one for \(i\leq \theta\). A sequential chi-square test is proposed for the hypotheses on the unknown parameter \(\theta\).
Germogenov, A. P., Ronzhin, A. F.
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The Application of the Chi-Squared Test
The Mathematical Gazette, 1971Suppose that we open a telephone directory and select any column which consists entirely of personal names. The last digit of each telephone number would seem to have no preferred value. For example, the middle column on p. 417 of the 1970 Newcastle upon Tyne directory contains 109 names, and the frequencies for 0,1,…, 9 are as follows.
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