On the Asymptotic Power of a Method for Testing Hypotheses on the Equality of Distributions

Viatcheslav B. Melas1
1St. Petersburg State University, St. Petersburg, Russia

Tóm tắt

Từ khóa


Tài liệu tham khảo

G. Zech and B. Aslan, “New test for the multivariate two-sample problem based on the concept of minimum energy,” J. Stat. Comput. Simul. 75, 109–119 (2005).

V. Melas and D. Salnikov, “On asymptotic power of the new test for equality of two distributions,” in Recent Developments in Stochastic Methods and Applications, Ed. by A. N. Shiryaev, K. E. Samouylov, and D. V. Kozyrev (Springer-Verlag, Cham, 2021), in Ser.: Springer Proceedings in Mathematics and Statistics, Vol. 371, pp. 204–214.

E. L. Leman, Testing Statistical Hypotheses (Wiley, New York, 1959; Nauka, Moscow, 1979).

H. Buening, “Kolmogorov–Smirnov and Cramer–von Mises type two-sample tests with various weight functions,” Commun. Stat. - Simul. Comput. 30, 847–865 (2001).

T. W. Anderson and D. A. Darling, “A test of goodness-of-fit,” J. Am. Stat. Assoc. 49, 765–769 (1954).

W. Hoeffding, “A class of statistics with asymptotically normal distribution,” Ann. Math. Stat. 19, 293–325 (1948).