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Distribution of chi-square analogue for normal population with class intervals defined in terms of the sample quartiles. (English) Zbl 0273.62028

MSC:

62E15 Exact distribution theory in statistics
62G10 Nonparametric hypothesis testing
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References:

[1] Chernoff, H., andE. L. Lehmann: The use of maximum liklihood estimates in test for goodness of fit. Ann. math. Stat. Vol. 25, 579–586, 1954. · Zbl 0056.37103
[2] Cramer, H.: Mathematical Methods of Fstatistics, Princeton University Press, 1946. · Zbl 0060.30513
[3] Roy, A. R.: On Statistics with variable intervales. Technical Report No. 1 Department of Statistics, Stanford Univesity, Stanford, 1956.
[4] Roy, A. R., andS. G. Mohanity: Distribution of {\(\chi\)}2 for normal population with class intervals defined in terms of sample median Jour. Ind. Soc. Agri. St at Vol. 10, No. 1-2, 90–98, 1958. · Zbl 0111.15903
[5] Sukhatme, B. V.: Asymptotic distribution of the median a U-Statistic. Jour. Roy. Stat. Soc. 19B(1), 144–148, 1957.
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