Linear bank statistics with estimated scores for testing independence

References

• Behnen , K. and Neuhaus , G. 1982 . Linear rank statistics with estimated scores for testing independence , 82 – 84 . Universitat Hamburg .
   Google Scholar
• Beran , R. 1974 . Asymptotically efficient adaptive rank estimation in location models . Ann. Statist , 2 : 63 – 74 .
   Web of Science ®Google Scholar
• Bhuchongkul , S. 1964 . A class of nonparametric tests for independence in bivariate populations . Ann. Math. Statist , 35 : 138 – 149 .
   Google Scholar
• Csaki:fischer , P. 1960 . On bivariate stochastic connection . Publ. Math. Inst. Hung. Acad. Sci , 5 : 311 – 323 .
   Google Scholar
• Csorgo , M. and Revesz , P. 1983 . An N.N. Estimator for the Score Function , 62 – 82 . Berlin : Humboldt .
   Google Scholar
• Farlie , D.J. 1961 . The asymtotic efficiency of Daniel's generalized correlation coef-ficients . J. Roy. Statist. Soc , B23 : 128 – 142 .
   Google Scholar
• Gebelein , H. 1941 . Das statistische Problem der Korrelation als Variations und Eigen-wertproblem und sein Zusammenhang zur Ausgleichsrechnung . Z. Angew. Math. Mech , 21 : 364 – 379 .
   Google Scholar
• Hajek , J. and Sidak , Z. 1967 . Theory of rank tests , Prague : Academia .
   Google Scholar
• Hoeffding , W. 1940 . Mabstabsinvariante Korrelationstheorie . Schriften des Mathem , 5 : 179 – 233 .
   Google Scholar
• Huskova , M. 1983 . Adaptive procedures for the two-sample location model . Comm. Statist , C2 : 387 – 401 .
   Google Scholar
• Krntorowitsch , L.W. and Akilow , G.P. 1964 . Funktionsanalysis in normierten Raumen , Berlin : Akademie-Verlag .
   Google Scholar
• Krasnoselski , M. 1973 . Naherungsverfahren zur Losung von Operatorgleichungen , Berlin : Akademie-Verlag .
   Google Scholar
• Lancaster , H.O. 1958 . The structure of bivariate distributions . Ann. Math. Statist , 29 : 719 – 736 .
   Google Scholar
• Lehmann , E.L. 1966 . Some concepts of dependence . Ann. Math. Statist , 37 : 1137 – 1153 .
   Google Scholar
• Morgenstern , D. 1956 . Einfache Beispiele zweidimensionaler Verteilungen . Mitt. fur Mathemat. Statist , 8 : 234 – 235 .
   Google Scholar
• Rodel , E. 1970 . Abhangigkeitsmabe fur Zufallsgroben mit Werten in einem separablem Hilbertraum . Math. Operationsforsch. u. Statist , 2 : 117 – 139 .
   Google Scholar
• Rodel , E. 1984 . Tests for independence in the family of continuous distributions with finite contingency . Robustness of Statistical Methods and Nonparametric Methods , 2 : 125 – 127 .
   Google Scholar
• Rodel , E. 1985 . Unabhangigkeitstests fur zweidimensionale Verteilungen mit endlicher Kontingenz und ihre Adaption , Rostock .
   Google Scholar
• Rodel , E. 1987 . A necessary condition for positive dependence . Statistics , 18 : 351 – 359 .
   Google Scholar
• Rodel , E. 1987 . R-estimation of normed bivarate density functions . Statistics , 18 : 573 – 585 .
   Google Scholar
• Ruymgaart , F.H. 1972 . Asymptotic normality of nonparametric tests for inde-pendence . Ann. Statist , 2 : 892 – 910 .
   Google Scholar
• Sarmanow , O.W. 1946 . Sur les solutions monotones des equations integrales de cor-relation . Dokl. Akad. Nauk , 53 : 773 – 776 .
   Google Scholar
• Schweizer , B. and Wolef , E.F. 1981 . Nonparametric measures of dependence . Ann. Statist , 9 : 879 – 885 .
   Web of Science ®Google Scholar
• Shirahata , S. 1974 . Locally most powerful rank tests for independence . Bull. Math. Statist , 16 : 11 – 21 .
   Google Scholar
• Oliveira , Tiago De J. 1965 . Optimality of grade correlation . An. Fac. Ci. do Porto , 48 : 41 – 50 .
   Google Scholar
• Van eeden , C. 1970 . Efficiency robust estimation of location . Ann. Math. Statist , 41 : 172 – 181 .
   Google Scholar