Intermediate efficiency by shifting alternatives and evaluation of power
Tài liệu tham khảo
Book, S.A., 1976. The Cramér–Feller–Petrov large deviation theorem for triangular arrays. Technical Report. California State College, Dominiguez Hills.
Csörgő, 1981
Fernique, X., 1970. Intégrabilité des vecteurs gaussiens, C.R. 270, 1698–1699.
Gregory, 1980, On efficiency and optimality of quadratic tests, Ann. Statist., 8, 116, 10.1214/aos/1176344895
Inglot, 1999, Generalized intermediate efficiency of goodness of fit tests, Math. Methods Statist., 8, 487
Inglot, 2003, Data driven chi-square tests for uniformity with unequal cells, J. Statist. Comput. Simulation, 73, 545, 10.1080/0094965021000060918
Inglot, 1993, Asymptotic behaviour of some bilinear functionals of the empirical process, Math. Methods Statist., 2, 316
Inglot, 1998, Vanishing shortcoming of data driven Neyman's test, 811
Inglot, 2000, Vanishing shortcoming and asymptotic relative efficiency, Ann. Statist., 28, 215, 10.1214/aos/1015957481
Inglot, 1990, On probabilities of excessive deviations for Kolmogorov–Smirnov, Cramér–von Mises and chi-square statistics, Ann. Statist., 18, 1491, 10.1214/aos/1176347764
Inglot, 1993, Moderately large deviations and expansions of large deviations for some functionals of weighted empirical process, Ann. Probab., 21, 1691, 10.1214/aop/1176989137
Inglot, 1996, Asymptotic optimality od data-driven Neyman's tests for uniformity, Ann. Statist., 24, 1982, 10.1214/aos/1069362306
Inglot, 2001, Intermediate approach to comparison of some goodness-of-fit tests, Ann. Inst. Statist. Math., 53, 810, 10.1023/A:1014669423096
Inglot, 2004, On consistent minimax distinguishability and intermediate efficiency of Cramér–von Mises test, J. Statist. Plann. Inference, 124, 453, 10.1016/j.jspi.2003.03.001
Inglot, 2006, Intermediate efficiency of some max-type statistics, J. Statist. Plann. Inference, 136, 2918, 10.1016/j.jspi.2004.10.028
Inglot, 2006, Asymptotic optimality of new adaptive test in regression model, Ann. Inst. H. Poincaré, 42, 579, 10.1016/j.anihpb.2005.05.002
Kallenberg, 1983, Intermediate efficiency, theory and examples, Ann. Statist., 15, 1401, 10.1214/aos/1176350601
Kallenberg, 2002, The penalty in data driven Neyman's tests, Math. Methods Statist., 11, 323
Petrov, 1975
Pitman, E.J.G., 1949. Lecture Notes on Nonparametric Statistical Inference. Columbia University.
Serfling, 1980