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Theory and Method

Feasible Nonparametric Estimation of Multiargument Monotone Functions

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Pages 77-80 | Received 01 Jan 1992, Published online: 27 Feb 2012

References

  • Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under Order Restrictions , London : John Wiley .
  • Bril , G. , Dykstra , R. , Pillars , C. and Robertson , T. 1984 . “Isotonic Regression in Two Independent Variables,” . Journal of the Royal Statistical Society , 33 : 352 – 357 . Ser. C
  • Brunk , H. D. , Ewing , G. M. and Utz , W. R. 1957 . “Minimizing Integrals in Certain Classes of Monotone Functions,” . Pacific Journal of Mathematics , 7 : 833 – 847 .
  • Dykstra , R. L. and Robertson , T. 1982 . “An Algorithm for Isotonic Regression for Two or More Independent Variables,” . The Annals of Statistics , 10 : 708 – 711 .
  • Friedman , J. and Tibshirani , R. 1984 . “The Monotone Smoothing of Scatterplots,” . Technometrics , 26 : 242 – 250 .
  • Lchimura , H. and Lee , L. F. 1991 . “Semiparametric Estimation of Multiple Indices Models: Single Equation Estimation,” . In Nonparametric and Semiparametric Methods in Econometrics and Statistics , Edited by: Barnett , W. , Powell , J. and Tauchen , G. 3 – 50 . Cambridge , , UK : Cambridge University Press .
  • Liero , H. 1989 . “Strong Uniform Consistency of Nonparametric Regression Function Estimates,” . Probability Theory and Related Fields , 82 : 587 – 614 .
  • Mukarjee , H. 1988 . “Monotone Nonparametric Regression,” . The Annals of Statistics , 16 : 741 – 750 .
  • Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order Restricted Statistical Inference , New York : John Wiley .
  • Stern , S. 1991 . “Supply and Demand Effects of Disability on Labor Force Participation,” , University of Virginia, Dept. of Economics . working paper
  • Stone , C. J. 1982 . “Optimal Global Rates of Convergence for Nonparametric Regression,” . The Annals of Statistics , 10 : 1040 – 1053 .

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