The frequency of occurrences of events in a modified Bernoulli model under the assumption Fx(u) ≡ Fy(u) is studied. A homogeneity test for two samples based on properties of this frequency and its properties are investigated.
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S. A. Matveichuk and Yu. I. Petunin, “A generalization of the Bernoulli model occurring in order statistics. I,” Ukr. Mat. Zh.,42, No. 4, 518–528 (1990).
B. Epstein, “Tables for distribution of the number of exceedances,” Ann. Math. Statist.,25, 762–768 (1954).
M. Abramovitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, Applied Math. Series, No. 5, National Bureau of Standards, Washington, DC (1964).
L. N. Bol'shev and N. V. Smirnov, Tables of Mathematical Statistics [in Russian], Nauka, Moscow (1983).
H. Cramer, Mathematical Methods of Statistics, Princeton Univ. Press, Princeton, NJ (1946).
G. M. Fikhtengol'ts, Course of Differential and Integral Calculus, 3 vols, [in Russian], Nauka, Moscow (1966).
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 6, pp. 779–786, June, 1991.
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Matveichuk, S.A., Petunin, Y.I. A generalization of Bernoulli's model occurring in order statistics II. Ukr Math J 43, 728–734 (1991). https://doi.org/10.1007/BF01058940
- Order Statistic
- Homogeneity Test
- Bernoulli Model