메뉴 건너뛰기




Volumn 24, Issue 4, 1996, Pages 1586-1601

Regression rank scores estimation in ANOCOVA

Author keywords

Asymptotic efficiency and representation; Covariate regression functional; Heteroscedasticity; R estimators; Regression quantiles; Semiparametric models; Stochastic predictors; Weak invariance principles

Indexed keywords


EID: 0038975399     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032298286     Document Type: Article
Times cited : (10)

References (19)
  • 1
    • 84959600617 scopus 로고
    • Large sample theory of sequential estimation
    • ANSCOME, F. J. (1952). Large sample theory of sequential estimation. Proc. Cambridge Philos. Soc. 48 600-607.
    • (1952) Proc. Cambridge Philos. Soc. , vol.48 , pp. 600-607
    • Anscome, F.J.1
  • 2
    • 0001001329 scopus 로고
    • Kernel and nearest neighbor estimation of a conditional quantile
    • BHATTACHARYA, P. K. and GANGOPADHYAY, A. K. (1990). Kernel and nearest neighbor estimation of a conditional quantile. Ann. Statist. 18 1400-1415.
    • (1990) Ann. Statist. , vol.18 , pp. 1400-1415
    • Bhattacharya, P.K.1    Gangopadhyay, A.K.2
  • 3
    • 0000472754 scopus 로고
    • Convergence criteria for multiparameter stochastic processes and some applications
    • BICKEL, P. J. and WICHURA, M. J. (1971). Convergence criteria for multiparameter stochastic processes and some applications. Ann. Math. Statist. 42 1656-1670.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1656-1670
    • Bickel, P.J.1    Wichura, M.J.2
  • 4
    • 0000575371 scopus 로고
    • Starshaped transformations and power of rank tests
    • DOKSUM, K. (1969). Starshaped transformations and power of rank tests. Ann. Math. Statist. 40 1167-1176.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 1167-1176
    • Doksum, K.1
  • 5
    • 0039684211 scopus 로고
    • Contiguity in nonparametric estimation of a conditional functional
    • (A. K. M. E. Saleh, ed.) North-Holland, Amsterdam
    • GANGOPADHYAY, A. K. and SEN, P. K. (1992). Contiguity in nonparametric estimation of a conditional functional. In Nonparametric Statistics and Related Topics (A. K. M. E. Saleh, ed.) 141-162. North-Holland, Amsterdam.
    • (1992) Nonparametric Statistics and Related Topics , pp. 141-162
    • Gangopadhyay, A.K.1    Sen, P.K.2
  • 6
    • 0006346215 scopus 로고
    • Contiguity in Bahadur-type representations of a conditional quantile and application in conditional quantile processes
    • (J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S. Prakasa Rao, eds.) Wiley Eastern, New Delhi
    • GANGOPADHYAY, A. K. and SEN, P. K. (1993). Contiguity in Bahadur-type representations of a conditional quantile and application in conditional quantile processes. In Statistics and Probability, a Raghu Raj Bahadur Festschrift (J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S. Prakasa Rao, eds.) 219-231. Wiley Eastern, New Delhi.
    • (1993) Statistics and Probability, a Raghu Raj Bahadur Festschrift , pp. 219-231
    • Gangopadhyay, A.K.1    Sen, P.K.2
  • 7
    • 0039684209 scopus 로고
    • On a class of rank order tests for regression with partially informed stochastic predictors
    • 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.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 650-661
    • Ghosh, M.1    Sen, P.K.2
  • 8
    • 0001083136 scopus 로고
    • Regression rank scores and regression quantiles
    • GUTENBRUNNER, C. and JUREČKOVÁ, J. (1992). Regression rank scores and regression quantiles. Ann. Statist. 20 305-330.
    • (1992) Ann. Statist. , vol.20 , pp. 305-330
    • Gutenbrunner, C.1    Jurečková, J.2
  • 10
    • 0010025048 scopus 로고
    • Estimation in a linear model based on regression rank scores
    • JUREČKOVÁ, J. (1992). Estimation in a linear model based on regression rank scores. J. Nonparamet. Statist. 1 197-203.
    • (1992) J. Nonparamet. Statist. , vol.1 , pp. 197-203
    • Jurečková, J.1
  • 11
    • 0040870230 scopus 로고
    • Asymptotic equivalence of regression rank scores estimators and R-estimators in linear models
    • (J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S. Prakasa Rao, eds.) Wiley Eastern, New Delhi
    • JUREČKOVÁ, J. and SEN, P. K. (1993). Asymptotic equivalence of regression rank scores estimators and R-estimators in linear models. In Statistics and Probability, a Raghu Raj Bahadur Festschrift (J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S. Prakasa Rao, eds.) 279-291. Wiley Eastern, New Delhi.
    • (1993) Statistics and Probability, a Raghu Raj Bahadur Festschrift , pp. 279-291
    • Jurečková, J.1    Sen, P.K.2
  • 13
    • 0000273843 scopus 로고
    • Regression quantiles
    • KOENKER, R. and BASSETT, G. (1978). Regression quantiles. Econometrica 46 33-50.
    • (1978) Econometrica , vol.46 , pp. 33-50
    • Koenker, R.1    Bassett, G.2
  • 16
    • 0039684222 scopus 로고
    • Regression rank scores estimation in ANOCOVA
    • Institute of Statistics, Univ. North Carolina
    • SEN, P. K. (1993a). Regression rank scores estimation in ANOCOVA. Technical Report 2117, Institute of Statistics, Univ. North Carolina.
    • (1993) Technical Report 2117
    • Sen, P.K.1
  • 17
    • 0040275972 scopus 로고
    • Perspectives in multivariate nonparametrics: Conditional functionals and ANOCOVA models
    • SEN, P. K. (1993b). Perspectives in multivariate nonparametrics: conditional functionals and ANOCOVA models. Sankhyā Ser. A 55 516-532.
    • (1993) Sankhyā Ser. A , vol.55 , pp. 516-532
    • Sen, P.K.1
  • 18
    • 0040275970 scopus 로고
    • Regression quantiles in nonparametric regression
    • SEN, P. K. (1994). Regression quantiles in nonparametric regression. J. Nonparamet. Statist. 3 237-253.
    • (1994) J. Nonparamet. Statist. , vol.3 , pp. 237-253
    • Sen, P.K.1
  • 19
    • 0039091939 scopus 로고
    • On strong convergence of regression rank statistics
    • SEN, P. K. and GHOSH, M. (1972). On strong convergence of regression rank statistics. Sankhyā Ser. A. 34 335-343.
    • (1972) Sankhyā Ser. A. , vol.34 , pp. 335-343
    • Sen, P.K.1    Ghosh, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.