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Volumn 31, Issue 6, 2003, Pages 2036-2058

Efficient and adaptive nonparametric test for the two-sample problem

Author keywords

Adaptive test; Efficient test; Model selection; Nonparametric test; Two sample problem

Indexed keywords


EID: 1442283729     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1074290336     Document Type: Article
Times cited : (17)

References (37)
  • 2
    • 0000879030 scopus 로고
    • Max-type rank tests in the two-sample problem
    • BAJORSKI, P. (1992). Max-type rank tests in the two-sample problem. Zastos. Mat. 21 371-385.
    • (1992) Zastos. Mat. , vol.21 , pp. 371-385
    • Bajorski, P.1
  • 3
    • 0000404653 scopus 로고
    • Approximation of density functions by sequences of exponential families
    • BARRON, A. R. and SHEU, C. (1991). Approximation of density functions by sequences of exponential families. Ann. Statist. 19 1347-1369.
    • (1991) Ann. Statist. , vol.19 , pp. 1347-1369
    • Barron, A.R.1    Sheu, C.2
  • 4
    • 1442325898 scopus 로고
    • The Randles-Hogg test and an alternative proposal
    • BEHNEN, K. (1975). The Randles-Hogg test and an alternative proposal. Comm. Statist. 4 203-238.
    • (1975) Comm. Statist. , vol.4 , pp. 203-238
    • Behnen, K.1
  • 5
    • 24844449615 scopus 로고
    • Nichtparametrische Statistik: Zweistichproben Rangtests
    • BEHNEN, K. (1981). Nichtparametrische Statistik: Zweistichproben Rangtests. Z. Angew. Math. Mech. 61 T203-T212.
    • (1981) Z. Angew. Math. Mech. , vol.61
    • Behnen, K.1
  • 6
    • 0001863255 scopus 로고
    • Galton's test as a linear rank test with estimated scores and its local asymptotic efficiency
    • BEHNEN, K. and NEUHAUS, G. (1983). Galton's test as a linear rank test with estimated scores and its local asymptotic efficiency. Ann. Statist. 11 588-599.
    • (1983) Ann. Statist. , vol.11 , pp. 588-599
    • Behnen, K.1    Neuhaus, G.2
  • 8
    • 0001799422 scopus 로고
    • Edgeworth expansions in nonparametric statistics
    • BICKEL, P. J. (1974). Edgeworth expansions in nonparametric statistics. Ann. Statist. 2 1-20.
    • (1974) Ann. Statist. , vol.2 , pp. 1-20
    • Bickel, P.J.1
  • 10
    • 0038864563 scopus 로고
    • The Cramér-Feller-Petrov large deviation theorem for triangular arrays
    • Dept. Mathematics, California State College, Dominguez Hills
    • BOOK, S. A. (1976). The Cramér-Feller-Petrov large deviation theorem for triangular arrays. Technical report, Dept. Mathematics, California State College, Dominguez Hills.
    • (1976) Technical Report
    • Book, S.A.1
  • 11
    • 0000189898 scopus 로고
    • Test statistics derived as components of Pearson's phi-squared distance measure
    • EUBANK, R. L., LARICCIA, V. N. and ROSENSTEIN, R. B. (1987). Test statistics derived as components of Pearson's phi-squared distance measure. J. Amer. Statist. Assoc. 82 816-825.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 816-825
    • Eubank, R.L.1    Lariccia, V.N.2    Rosenstein, R.B.3
  • 12
    • 0030549054 scopus 로고    scopus 로고
    • Test of significance based on wavelet thresholding and Neyman's truncation
    • FAN, J. (1996). Test of significance based on wavelet thresholding and Neyman's truncation. J. Amer. Statist. Assoc. 91 674-688.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 674-688
    • Fan, J.1
  • 13
    • 0000396216 scopus 로고
    • Asymptotically most powerful rank-order tests
    • HÁJEK, J. (1962). Asymptotically most powerful rank-order tests. Ann. Math. Statist. 33 1124-1147.
    • (1962) Ann. Math. Statist. , vol.33 , pp. 1124-1147
    • Hájek, J.1
  • 14
    • 0001457635 scopus 로고
    • Asymptotic normality of simple linear rank statistics under alternatives
    • HÁJEK, J. (1968). Asymptotic normality of simple linear rank statistics under alternatives. Ann. Math. Statist. 39 325-346.
    • (1968) Ann. Math. Statist. , vol.39 , pp. 325-346
    • Hájek, J.1
  • 15
    • 0000777813 scopus 로고
    • A review of some adaptive statistical techniques
    • HOGG, R. V. and LENTH, R. V. (1984). A review of some adaptive statistical techniques. Comm. Statist. A - Theory Methods 13 1551-1579.
    • (1984) Comm. Statist. A - Theory Methods , vol.13 , pp. 1551-1579
    • Hogg, R.V.1    Lenth, R.V.2
  • 16
    • 0010520303 scopus 로고
    • The rate of convergence of simple linear rank statistics under hypothesis and alternatives
    • HUŠKOVÁ, M. (1977). The rate of convergence of simple linear rank statistics under hypothesis and alternatives. Ann. Statist. 5 658-670.
    • (1977) Ann. Statist. , vol.5 , pp. 658-670
    • Hušková, M.1
  • 17
    • 24844432662 scopus 로고
    • Adaptive methods
    • P. R. Krishnaiah and P. K. Sen, eds. North-Holland, Amsterdam
    • HUŠKOVÁ, M. (1984). Adaptive methods. In Handbook of Statistics 4. Nonparametric Methods (P. R. Krishnaiah and P. K. Sen, eds.) 347-358. North-Holland, Amsterdam.
    • (1984) Handbook of Statistics 4. Nonparametric Methods , vol.4 , pp. 347-358
    • Hušková, M.1
  • 18
    • 84950023942 scopus 로고
    • On sequentially adaptive asymptotically efficient rank statistics
    • HUŠKOVÁ, M. and SEN, P. K. (1985). On sequentially adaptive asymptotically efficient rank statistics. Sequential Anal. 4 125-151.
    • (1985) Sequential Anal. , vol.4 , pp. 125-151
    • Hušková, M.1    Sen, P.K.2
  • 19
    • 0000229499 scopus 로고    scopus 로고
    • Generalized intermediate efficiency of goodness-of-fit tests
    • INGLOT, T. (1999). Generalized intermediate efficiency of goodness-of-fit tests. Math. Methods Statist. 8 487-509.
    • (1999) Math. Methods Statist. , vol.8 , pp. 487-509
    • Inglot, T.1
  • 20
    • 0003030135 scopus 로고    scopus 로고
    • Vanishing shortcoming of data driven Neyman's tests
    • B. Szyszkowicz, ed. North-Holland, Amsterdam.
    • INGLOT, T., KALLENBERG, W. C. M. and LEDWINA, T. (1998). Vanishing shortcoming of data driven Neyman's tests. In Asymptotic Methods in Probability and Statistics (B. Szyszkowicz, ed.) 811-829. North-Holland, Amsterdam.
    • (1998) Asymptotic Methods in Probability and Statistics , pp. 811-829
    • Inglot, T.1    Kallenberg, W.C.M.2    Ledwina, T.3
  • 21
    • 0034403079 scopus 로고    scopus 로고
    • Vanishing shortcoming and asymptotic relative efficiency
    • [Correction (2000) 28 1795]
    • INGLOT, T., KALLENBERG, W. C. M. and LEDWINA, T. (2000). Vanishing shortcoming and asymptotic relative efficiency. Ann. Statist. 28 215-238. [Correction (2000) 28 1795.]
    • (2000) Ann. Statist. , vol.28 , pp. 215-238
    • Inglot, T.1    Kallenberg, W.C.M.2    Ledwina, T.3
  • 22
    • 0030363428 scopus 로고    scopus 로고
    • Asymptotic optimality of data-driven Neyman's tests for uniformity
    • INGLOT, T. and LEDWINA, T. (1996). Asymptotic optimality of data-driven Neyman's tests for uniformity. Ann. Statist. 24 1982-2019.
    • (1996) Ann. Statist. , vol.24 , pp. 1982-2019
    • Inglot, T.1    Ledwina, T.2
  • 23
    • 6644220040 scopus 로고    scopus 로고
    • Intermediate approach to comparison of some goodness-of-fit tests
    • INGLOT, T. and LEDWINA, T. (2001a). Intermediate approach to comparison of some goodness-of-fit tests. Ann. Inst. Statist. Math. 53 810-834.
    • (2001) Ann. Inst. Statist. Math. , vol.53 , pp. 810-834
    • Inglot, T.1    Ledwina, T.2
  • 24
    • 0041921452 scopus 로고    scopus 로고
    • Asymptotic optimality of data driven smooth tests for location-scale family
    • INGLOT, T. and LEDWINA, T. (2001b). Asymptotic optimality of data driven smooth tests for location-scale family. Sankhyā Ser. A 63 41-71.
    • (2001) Sankhyā Ser. A , vol.63 , pp. 41-71
    • Inglot, T.1    Ledwina, T.2
  • 25
    • 0034195352 scopus 로고    scopus 로고
    • Data driven rank test for two-sample problem
    • JANIC-WRÓBLEWSKA, A. and LEDWINA, T. (2000). Data driven rank test for two-sample problem. Scand. J. Statist. 27 281-297.
    • (2000) Scand. J. Statist. , vol.27 , pp. 281-297
    • Janic-Wróblewska, A.1    Ledwina, T.2
  • 27
    • 1442350305 scopus 로고
    • Cramér type large deviations for simple linear rank statistics
    • KALLENBERG, W. C. M. (1982). Cramér type large deviations for simple linear rank statistics. Z. Wahrsch. Verw. Gebiete 60 403-409.
    • (1982) Z. Wahrsch. Verw. Gebiete , vol.60 , pp. 403-409
    • Kallenberg, W.C.M.1
  • 28
    • 0001948775 scopus 로고
    • Intermediate efficiency, theory and examples
    • KALLENBERG, W. C. M. (1983). Intermediate efficiency, theory and examples. Ann. Statist. 11 170-182.
    • (1983) Ann. Statist. , vol.11 , pp. 170-182
    • Kallenberg, W.C.M.1
  • 29
    • 21744458278 scopus 로고    scopus 로고
    • Data-driven smooth tests when the hypothesis is composite
    • KALLENBERG, W. C. M. and LEDWINA, T. (1997). Data-driven smooth tests when the hypothesis is composite. J. Amer. Statist. Assoc. 92 1094-1104.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , pp. 1094-1104
    • Kallenberg, W.C.M.1    Ledwina, T.2
  • 30
    • 1442276836 scopus 로고
    • 0-contiguity in nonparametric testing problems and sample Pitman efficiency
    • 0-contiguity in nonparametric testing problems and sample Pitman efficiency. Ann. Statist. 10 575-582.
    • (1982) Ann. Statist. , vol.10 , pp. 575-582
    • Neuhaus, G.1
  • 31
    • 0001879469 scopus 로고
    • Local asymptotics for linear rank statistics with estimated score functions
    • NEUHAUS, G. (1987). Local asymptotics for linear rank statistics with estimated score functions. Ann. Statist. 15 491-512.
    • (1987) Ann. Statist. , vol.15 , pp. 491-512
    • Neuhaus, G.1
  • 33
    • 0041921444 scopus 로고
    • The likelihood ratio test for the multinomial distribution
    • Univ. California Press, Berkeley
    • OOSTERHOFF, J. and VAN ZWET, W. R. (1972). The likelihood ratio test for the multinomial distribution. Proc. Sixth Berkeley Symp. Math. Statist. Probab. 1 31-50. Univ. California Press, Berkeley.
    • (1972) Proc. Sixth Berkeley Symp. Math. Statist. Probab. , vol.1 , pp. 31-50
    • Oosterhoff, J.1    Van Zwet, W.R.2
  • 36
    • 0000826517 scopus 로고
    • Efficient nonparametric testing and estimation
    • Univ. California Press, Berkeley
    • STEIN, C. (1956). Efficient nonparametric testing and estimation. Proc. Third Berkeley Symp. Math. Statist. Probab. 1 187-195. Univ. California Press, Berkeley.
    • (1956) Proc. Third Berkeley Symp. Math. Statist. Probab. , vol.1 , pp. 187-195
    • Stein, C.1
  • 37
    • 0000836223 scopus 로고
    • Exponential inequalities for sums of random vectors
    • YURINSKII, V. V. (1976). Exponential inequalities for sums of random vectors. J. Multivariate Anal. 6 473-499.
    • (1976) J. Multivariate Anal. , vol.6 , pp. 473-499
    • Yurinskii, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.