155
Views
4
CrossRef citations to date
0
Altmetric
Invited Papers

Nonparametrics: Retrospectives and perspectivesFootnote*

Pages 1-32 | Published online: 12 Apr 2007

References

  • Aalen , O. O. 1978 . Nonparametric inference for a family of counting processes . Ann.Statist , 6 : 701 – 726 .
  • Arbuthnott , J. 1710 . An argument for devine providence taken from the constant regularity observed in the birth of both sexes . Philos. Trans , 27 : 186 – 190 .
  • Armitage , P.. 1975 . Sequential Trials , New York : John Wiley .
  • Armitage , P. , McPherson , C. K. and Rowe , B. C. 1969 . Repeated significance tests on accumulating data . J. Roy. Statist. Soc. , A132 : 235 – 244 .
  • Bahadur , R. R. 1960 . Stochastic comparison of tests . Ann. Math. Statist , 31 : 276 – 295 .
  • Bell , C. B. and Sen , P. K. 1984 . “ Randomization Procedures ” . In In Handbook of Statistics Nonparametric Methods Edited by: Krishnaiah , P. R. and Sen , P. K. Vol. 4 , 1 – 30 . Amsterdam, , North Holland
  • Berk , R. H. 1966 . Limiting behavior of posterior distributions when the model is incorrect . Ann. Math. Statist , 37 : 51 – 58 .
  • Bickel , P. J. 1965 . On some asymptotically nonparametric competitors of Hotelling's T 2 . Ann. Math. Statist , 36 : 160 – 173 .
  • Chatterjee , S. K. 1966 . A bivariate sign-test for location . Ann. Math. Statist , 37 : 1771 – 1782 .
  • Chatterjee , S. K. and Sen , P. K. 1964 . Nonparametric tests for the bivariate two-sample location problem . Calcutta Statist. Assoc. Bull , 13 : 18 – 58 .
  • Chatterjee , S. K. and Sen , P. K. 1973 . Nonparametric testing under progressive censoring . Calcutta Statist. Assoc. Bull , 22 : 13 – 50 .
  • Chernoff , H. and Savage , I. R. 1958 . Asymptotic normality and efficiency of certain nonparametric test statistics . Ann. Math. Statist , 29 : 972 – 994 .
  • Conover , W. J. 1972 . Practical Nonparametric Statistics , New York : John Wiley .
  • Cox , D. R. 1972 . Regression models and life tables . J. Roy. Statist. Soc. B , 34 : 184 – 220 .
  • Durbin , J. Distribution Theory for Tests Based on the Sample Distribution Function , Philadelphia : SIAM Publication .
  • Efron , B. 1979 . Bootstrap methods: Another look at the jackknife . Ann.Statist , 7 : 1 – 25 .
  • Efron , B. 1982 . The Jackknife, Bootstrap and Other Resampling Methods , Philadelphia : SIAM Publications .
  • Ferguson , T. S. 1973 . A Bayesian analysis of some nonparametric problems . Ann. Statist , 1 : 209 – 230 .
  • Ferguson , T. S. , Phadia , E. and Tiwari , R. C. “ Bayesian nonparametric inference ” . In In Issues in Statistical Inference: Essays in Honor of Debabrata Basu , Edited by: Ghosh , M. and Pathak , P. K. In Issues in Statistical Inference: Essays in Honor of Debabrata Basu .
  • Fernholz , L. T. 1983 . Von Mises Calculus for Statistical Functionals , Vol. 19 , New York : Springer Lee. Notes in Statistics .
  • Fraser , D. A. S. Nonparametric Methods in Statistics , New York : John Wiley .
  • Friedman , M. 1937 . The use of ranks to avoid the assumption of normality implicit in the analysis of variance . J. Amer. Statist. Assoc , 32 : 675 – 701 .
  • Gangopadhyay , A. K. and Sen , P. K. “ Bootstrap confidence intervals for conditional quantile functions ” . In Sankhya, Ser , A 52, in press .
  • Geertsema , J. C. 1970 . Sequential confidence intervals based on rank tests . Ann. Math, statist , 41 : 1016 – 1026 .
  • Ghosh , M. 1973 . On a class of asymptotically optimal nonparametric tests for grouped data, I, II . Ann. Inst. Statist. Math , 25 : 91,109 – 108,122 .
  • Ghosh , M. and Sen , P. K. 1971 . On a class of rank order tests for regression with partially informed stochastic predictors . Ann. Math. Statist , 42 : 650 – 661 .
  • Ghosh , M. N. 1954 . Asymptotic distribution of serial statistics and applications to probelms of nonparametric tests of hypotheses . Ann. Math. Statist , 25 : 218 – 251 .
  • Gibbons , J. D. Nonparametric Statistical Inference , New York : McGraw-Hill .
  • Guilford , J. P. Fundamental Statistics in Psychology and Education , New York : McGraw-Hill .
  • Gutenbrunner , G. and Jurecková , J. 1991 . “ Regression rank scores and regression quantiles ” . In Ann Statist , Vol. 19 , in press .
  • Hájek , J. 1961 . Some extensions of the Wald-Wolfowitz-Noether theorem . Ann. Math. Statist , 32 : 506 – 523 .
  • Hájek , J. 1962 . Asymptotically most powerful rank order tests . Ann. Math. Statist , 33 : 1124 – 1147 .
  • Hájek , J. 1968 . Asymptotic normality of simple linear rank statistics under alternatives . Ann. Math. Statist , 39 : 325 – 346 .
  • Hájek , J. 1969 . Nonparametric Statistics , San Francisco : Holden-Day .
  • Hájek , J. and Sidák , Z. 1967 . Theory of Rank Tests , New York : Academic Press .
  • Hettmansperger , T. P. 1984 . Statistical Inference Based On Ranks , New York : John Wiley .
  • Hieler , S. and Willers , R. 1988 . Asymptotic normality of R-estimates in the linear model . Statistics , 19 : 173 – 184 .
  • Hodges , J. L. and Lehmann , E. L. 1962 . Rank methods for combination of independent experiments in analysis of variance . Ann. Math. Statist , 33 : 482 – 497 .
  • Hodges , J. L. and Lehmann, , E. L. 1963 . Estimates of location based on rank tests . Ann. Math. Statist , 34 : 598 – 611 .
  • Hoeffding , W. 1948 . A class of statistics with asymptotically normal distribution . Ann. Math. Statist , 19 : 293 – 325 .
  • Hoeffding , W. 1952 . The large sample power of tests based on permutations of observations . Ann. Math. Statist , 23 : 169 – 192 .
  • Hoeffding , W. 1965 . Asymptotically optimal tests for multinomial distributions . Ann. Math. Statist , 36 : 369 – 400 .
  • Hogg , R. V. 1974 . Adaptive robust procedures: partial review ans some suggestions for further applications and theory . J. Amer. Statist. Assoc , 69 : 909 – 923 .
  • Hollander , M. and Proschan , F. 1984 . “ Nonparametric concepts and methods in reliability ” . In In Handbook of Statistics,Nonparametric Methods Edited by: Krishnaiah , P. R. and Sen , P. K. Vol. 4 , 613 – 655 .
  • Hollander , M. and Wolfe , D. A. 1973 . Nonparametric Statistical Methods , New York : John Wiley .
  • Huber , P. J. 1981 . Robust Statistics , New York : John Wiley .
  • Hušková , M. and Sen , P. K. 1985 . On sequentially adaptive asymptotically efficient rank statistics . Sequen.Anal , 4 : 125 – 151 .
  • Jurecková , J. 1971 . Nonparametric estimates of regression coefficients . Ann. Math. Statist , 42 : 1328 – 1338 .
  • Jurecková , J. 1977 . Asymptotic relations of M-estimates and R-estimates in linear regression . Ann Statist , 5 : 464 – 472 .
  • Kiefer , J. and Wolfowitz , J. 1952 . Stochastic estimation of the maximum of a regression function . Ann. Math. Statist , 23 : 462 – 466 .
  • Koenker , R. 1982 . Robust methods in econometrics . Economet. Rev , 1 : 213 – 290 .
  • Krishnaiah , P. R. and Sen , P. K. 1984 . Handbook of Statistics,Nonparametric Methods Vol. 4 , North Holland, , Amsterdam
  • Lehmann , E. L. 1951 . Consistency and unbiasedness of certain nonparametric tests . Ann. Math. Statist , 22 : 165 – 179 .
  • Lehmann , E. L. 1959 . Testing Statistical Hypotheses , New York : John Wiley .
  • Lehmann , E. L. 1975 . Nonparametrics: Statistical Methods Based on Ranks , San Francisco : Holden-Day .
  • Lehmann , E. L. and Scheffé , H. 1950 . Completeness, similar regions and unbiased estimation, I . Sankhyã , 10 : 305 – 340 .
  • Lehmann , E. L. and Scheffé , H. 1955 . Completeness, similar regions and unbiased estimation, II . Sankhyã , 15 : 219 – 236 .
  • Lehmann , E. L. and Stein , C. 1948 . Most powerful tests of composite hypotheses . Ann. Math. Statist , 19 : 495 – 516 .
  • Müller , H. G. 1984 . Smooth optimum kernel estimators of densities regression curves and modes . Ann. Statist , 12 : 766 – 774 .
  • Müller-Funk , U. 1984 . “ Sequential Nonparametric Tests ” . In In Handbook of Statistics,Nonparametric Methods Edited by: Krishnaiah , P. R. and Sen , P. K. Vol. 4 , 657 – 697 . North Holland, , Amsterdam
  • Pitman , E. J. G. 1937 . Significance tests which may be applied to samples from any populations . Suppl. J. Roy. Statist. Soc , 4 : 119,225 – 130,235 .
  • Puri , M. L. and Sen , Sen . 1971 . Nonparametric Methods in Multivariate Analysis , New York : John Wiley .
  • Puri , M. L. and Sen , P. K. 1985 . Nonparametric Methods in General Linear Models , New York : John Wiley .
  • Pyke , R. and Shorack , G. R. 1968 . Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems . Ann. Math. Statist , 39 : 755 – 771 .
  • Quenouille , M. H. 1956 . Notes on bias in estimation . Biometrika , 43 : 353 – 360 .
  • Randles , R. H. and Wolfe , D. A. 1979 . Introduction to the Theory of Nonparametric Statistics , John Wiley : John Wiley .
  • Robbins , H. and Monroe , S. 1951 . A stochastic approximation method . Ann. Math. Statist , 22 : 400 – 407 .
  • Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order Restricted Statistical Inference , John Wiley : John Wiley .
  • Roy , S. N. 1953 . On a heuristic method of test construction and its use in multivariate analysis . Ann. Math. Statist , 24 : 220 – 238 .
  • Sarhan , A. E. and Greenberg , B. G. 1962 . Contributions to Order Statistics , New York : John Wiley .
  • Savage , I. R. 1962 . “ Bibliography of Nonparametric Statistics ” . Cambridge : Harvard Univ. Press .
  • Savage , I. R. and Sethuraman , J. 1972 . Asymptotic distribution of the log likelihood ratio based on rank in the two-sample problem . Proc. 6th Berkeley Symp. Math. Statist. Prob , 1 : 437 – 458 .
  • Scheffé , H. 1943 . Statistical Inference in the nonparametric case . Ann. Math. Statist , 14 : 305 – 332 .
  • Sen , P. K. 1963 . On the estimation of relative potency in distribution (-direct) assays by distribution-free methods . Biometrics , 19 : 532 – 552 .
  • Sen , P. K. 1967 . Asymptotically most powerful rank order tests for grouped data . Ann. Math. Statist , 38 : 1229 – 1239 .
  • Sen , P. K. 1968 . Robustness of some nonparametric procedures in linear models . Ann. Math. Statist , 39 : 1913 – 1922 .
  • Sen , P. K. 1974 . Weak convergence of generalized U-statistics . Ann. Probab , 2 : 90 – 102 .
  • Sen , P. K. 1980 . On nonparametric sequential point estimation of location based on general rank order statistics . Sankhyá,Ser.A , 42 : 201 – 219 .
  • Sen , P. K. 1981 . Sequential Nonparametrics: Invarance Principles and Statistical Inference , New York : John Wiley .
  • Sen , P. K. 1983 . On permutational central limit theorems for general multivariate linear rank statistics . Sankhyá Ser A , 45 : 141 – 149 .
  • Sen , P. K. 984 . “ Nonparametric procedures for some miscellaneous problems ” . In In Handbook of Statistics,Nonparametric Methods Edited by: Krishnaiah , P. R. and Sen , P. K. Vol. 4 , 699 – 740 . Amsterdam, , North Holland
  • Sen , P. K. 1985 . Theory and Applications of Sequential Nonprametrics , Philadelphia : SIAM Publ .
  • Sen , P. K. 1988 . Functional jackknifing: Rationality and general asymptotics . Ann. Statist , 16 : 450 – 469 .
  • Sen , P. K. 1988 . Functional approaches in resampling plans: A review of some recent developments . Sankhyá, Ser. A , 50 : 394 – 435 .
  • Sen , P. K. “ Affluence and poverty indexes ” . In In Encyclopedia of Satistical Sciences Edited by: Kotz , S. and Johnson , N. L. 1 – 5 . Suppl
  • Sen , P. K. 1991 . “ Repeated significance tests in frequency and time domain ” . In In Handbook of Sequential Analysis , Edited by: Ghosh , B. K. and Sen , P. K. 169 – 198 . New York : Marcel Dekker Inc .
  • Sen , P. K. 1991 . “ Nonparametric methods in sequential analysis ” . In In Handbook of Sequential Analysis , Edited by: Ghosh , B. K. and Sen , P. K. 331 – 362 . New York : Marcel Dekker Inc .
  • Sen , P. K. and Ghosh , M. 1971 . On bounded length sequential confidence intervals based on one-sample rank order statistics . Ann. Math. Statist , 42 : 189 – 203 .
  • Sen , P. K. and Ghosh , M. 1974 . On sequential rank tests for location . Ann. Statist , 2 : 540 – 552 .
  • Shorack , G. R. and Wellner , J. A. 1986 . Empirical Processes with Applications to Statistics , New York : John Wiley .
  • Siegel , S. 1956 . Nonparametric Statistics for the Behavioral Sciences , New York : McGraw-Hill .
  • van Zwet , W. R. 1984 . A Berry-Esseen bound for symmetric statistics . Zeit. Wahrsch. Verw. Geb , 66 : 425 – 440 .
  • von Mises , R. V. 1947 . On the asymptotic distribution of differentiable statistical functions . Ann. Math. Statist , 18 : 309 – 348 .
  • Vorlickova , D. 1970 . Asymptotic properties of rank tests under discrete distributions . Zeit. Wahrsch. Verw. Geb , 14 : 275 – 289 .
  • Wald , A. 1947 . Sequential Analysis , New York : John Wiley .
  • Wald , A. and Wolfowitz , J. 1944 . Statistical tests based on the permutations of observations . Ann. Math. Statist , 15 : 358 – 372 .
  • Watson , G. S. Statistics on the Sphere , New York : John Wiley .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.