Distribution of a $\chi^2$ statistic with additional observations used to estimate the unknown parameter
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 98-102

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An explicit form of the Kambhampati statistic is given, which is a $\chi^2$ statistic with additional observations used to estimate the unknown parameter.
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     author = {M. S. Nikulin and I. S. Yusas},
     title = {Distribution of a $\chi^2$ statistic with additional observations used to estimate the unknown parameter},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {72},
     year = {1977},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a6/}
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M. S. Nikulin; I. S. Yusas. Distribution of a $\chi^2$ statistic with additional observations used to estimate the unknown parameter. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 98-102. http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a6/