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Volumn 76, Issue 375, 1981, Pages 658-662

Linear functions of concomitants of order statistics with application to nonparametric estimation of a regression function

Author keywords

Asymptotic normality; Concomitants of order statistics; Consistent estimation; Regression function

Indexed keywords


EID: 0242638611     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1981.10477700     Document Type: Article
Times cited : (63)

References (13)
  • 1
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    • Convergence of Sample Paths of Normalized Sums of Induced Order Statistics
    • BHATTACHARYA, P.K. (1974), “Convergence of Sample Paths of Normalized Sums of Induced Order Statistics,” Annals of Statistics, 2, 1034–1039.
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    • Bhattacharya, P.K.1
  • 2
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    • An Invariance Principle in Regression Analysis
    • —— (1976), “An Invariance Principle in Regression Analysis,” Annals of Statistics, 4, 621–624.
    • (1976) Annals of Statistics , vol.4 , pp. 621-624
    • Bhattacharya, P.K.1
  • 3
    • 0001457635 scopus 로고
    • Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
    • HAJEK, J. (1968), “Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives,” Annals of Mathematical Statistics, 39, 235–246.
    • (1968) Annals of Mathematical Statistics , vol.39 , pp. 235-246
    • Hajek, J.1
  • 4
    • 84950897583 scopus 로고
    • Nonparametric Estimation of a Regression Function by Means of Concomitants of Order Statistics
    • Mimeo Series #1249, University of North Carolina at Chapel Hill, Dept. of Statistics
    • JOHNSTON, G. (1979), “Nonparametric Estimation of a Regression Function by Means of Concomitants of Order Statistics,” Institute of Statistics, Mimeo Series #1249, University of North Carolina at Chapel Hill, Dept. of Statistics.
    • (1979) Institute of Statistics
    • Johnston, G.1
  • 6
    • 0001473437 scopus 로고
    • On Estimation of a Probability Density Function and Mode
    • PARZEN E. (1962), “On Estimation of a Probability Density Function and Mode,” Annals of Mathematical Statistics, 33, 1065–1076.
    • (1962) Annals of Mathematical Statistics , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 7
    • 0001911642 scopus 로고
    • Joint Asymptotic Distribution of the Estimated Regression Function at a Finite Number of Distinct Points
    • SCHUSTER, E.F. (1972), “Joint Asymptotic Distribution of the Estimated Regression Function at a Finite Number of Distinct Points,” Annals of Mathematical Statistics, 43, 84–88.
    • (1972) Annals of Mathematical Statistics , vol.43 , pp. 84-88
    • Schuster, E.F.1
  • 9
    • 0011622669 scopus 로고
    • Linear Functions of Order Statistics
    • STIGLER, S.M. (1969), “Linear Functions of Order Statistics,” Annals of Mathematical Statistics, 40, 770–788.
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 770-788
    • Stigler, S.M.1
  • 10
    • 0001523476 scopus 로고
    • Linear Function of Order Statistics With Smooth Weight Function
    • —— (1974), “Linear Function of Order Statistics With Smooth Weight Function,” Annals of Statistics, 2, 676–693.
    • (1974) Annals of Statistics , vol.2 , pp. 676-693
    • Stigler, S.M.1
  • 11
    • 0000388992 scopus 로고
    • Consistent Nonparametric Regression
    • STONE, C.J. (1977), “Consistent Nonparametric Regression,” Annals of Statistics, 5, 595–645.
    • (1977) Annals of Statistics , vol.5 , pp. 595-645
    • Stone, C.J.1
  • 12
    • 0001762424 scopus 로고
    • Smooth Regression Analysis
    • Ser. A
    • WATSON, G.S. (1964), “Smooth Regression Analysis,” Sankhyā, Ser. A., 26, 359–372.
    • (1964) Sankhyā , vol.26 , pp. 359-372
    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.