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Volumn 106, Issue 493, 2011, Pages 191-202

Testing and estimating shape-constrained nonparametric density and regression in the presence of measurement error

Author keywords

Bootstrap methods; Convexity; Errors in variables; Hypothesis testing; Kernel methods; Local polynomial estimators; Monotone function; Unimodality

Indexed keywords


EID: 79954546199     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2011.tm10355     Document Type: Article
Times cited : (41)

References (42)
  • 2
    • 67349205398 scopus 로고    scopus 로고
    • Shape constrained kernel density estimation
    • [192]
    • Birke, M. (2009), "Shape Constrained Kernel Density Estimation," Journal of Statistical Planning & Inference, 139, 2851-2862. [192]
    • (2009) Journal of Statistical Planning & Inference , vol.139 , pp. 2851-2862
    • Birke, M.1
  • 4
    • 34547317836 scopus 로고    scopus 로고
    • Estimating a convex function in nonparametric regression
    • [192]
    • Birke, M., and Dette, H. (2007), "Estimating a Convex Function in Nonparametric Regression," Scandinavian Journal of Statistics, 34, 384-404. [192]
    • (2007) Scandinavian Journal of Statistics , vol.34 , pp. 384-404
    • Birke, M.1    Dette, H.2
  • 5
    • 84908219488 scopus 로고
    • Statistical methods for assessing agreement between two methods of clinical measurement
    • [196]
    • Bland, J. M., and Altman, D. G. (1986), "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement," Lancet, 1, 307-310. [196]
    • (1986) Lancet , vol.1 , pp. 307-310
    • Bland, J.M.1    Altman, D.G.2
  • 11
    • 84871658599 scopus 로고    scopus 로고
    • Maximum Likelihood Estimation of a Multidimensional Log-Concave Density
    • Ser. B, to appear. [192,194]
    • Cule, M. L., Samworth, R. J., and Stewart, M. I. (2010), "Maximum Likelihood Estimation of a Multidimensional Log-Concave Density," Journal of the Royal Statistical Society, Ser. B, to appear. [192,194]
    • (2010) Journal of the Royal Statistical Society
    • Cule, M.L.1    Samworth, R.J.2    Stewart, M.I.3
  • 12
    • 0036435144 scopus 로고    scopus 로고
    • Estimation of Integrated Squared Density Derivatives From a Contaminated Sample
    • [194-196]
    • Delaigle, A., and Gijbels, I. (2002), "Estimation of Integrated Squared Density Derivatives From a Contaminated Sample," Journal of the Royal Statistical Society, Ser. B, 64, 869-886. [194-196]
    • (2002) Journal of the Royal Statistical Society, Ser. B , vol.64 , pp. 869-886
    • Delaigle, A.1    Gijbels, I.2
  • 13
    • 1142268196 scopus 로고    scopus 로고
    • Practical Bandwidth Selection in Deconvolution Kernel Density Estimation
    • [194-196]
    • Delaigle, A., and Gijbels, I. (2004), "Practical Bandwidth Selection in Deconvolution Kernel Density Estimation," Computational Statistics & Data Analysis, 45, 249-267. [194-196]
    • (2004) Computational Statistics & Data Analysis , vol.45 , pp. 249-267
    • Delaigle, A.1    Gijbels, I.2
  • 14
    • 42349097704 scopus 로고    scopus 로고
    • Using SIMEX for smoothing-parameter choice in errors-in-variables problems
    • [195,196]
    • Delaigle, A., and Hall, P. (2008), "Using SIMEX for Smoothing-Parameter Choice in Errors-in-Variables Problems," Journal of the American Statistical Association, 103, 280-287. [195,196]
    • (2008) Journal of the American Statistical Association , vol.103 , pp. 280-287
    • Delaigle, A.1    Hall, P.2
  • 16
    • 70349761934 scopus 로고    scopus 로고
    • A design-adaptive local polynomial estimator for the errors-in-variables problem
    • [193]
    • Delaigle, A., Fan, J., and Carroll, R. J. (2009), "A Design-Adaptive Local Polynomial Estimator for the Errors-in-Variables Problem," Journal of the American Statistical Association, 104, 348-359. [193]
    • (2009) Journal of the American Statistical Association , vol.104 , pp. 348-359
    • Delaigle, A.1    Fan, J.2    Carroll, R.J.3
  • 17
    • 42349113705 scopus 로고    scopus 로고
    • On deconvolution with repeated measurements
    • [192,196]
    • Delaigle, A., Hall, P., and Meister, A. (2008), "On Deconvolution With Repeated Measurements," The Annals of Statistics, 36, 665-685. [192,196]
    • (2008) The Annals of Statistics , vol.36 , pp. 665-685
    • Delaigle, A.1    Hall, P.2    Meister, A.3
  • 18
    • 33846090365 scopus 로고    scopus 로고
    • A simple nonparametric estimator of a strictly monotone regression function
    • [192]
    • Dette, H., Neumeyer, N., and Pilz, K. (2009), "A Simple Nonparametric Estimator of a Strictly Monotone Regression Function," Bernoulli, 12, 469-490. [192]
    • (2009) Bernoulli , vol.12 , pp. 469-490
    • Dette, H.1    Neumeyer, N.2    Pilz, K.3
  • 19
    • 62749189131 scopus 로고    scopus 로고
    • Maximum Likelihood Estimation of a Log-Concave Density and Its Distribution Function: Basic properties and uniform consistency
    • [192]
    • Dümbgen, L., and Rufibach, K. (2009), "Maximum Likelihood Estimation of a Log-Concave Density and Its Distribution Function: Basic Properties and Uniform Consistency," Bernoulli, 15, 40-68. [192]
    • (2009) Bernoulli , vol.15 , pp. 40-68
    • Dümbgen, L.1    Rufibach, K.2
  • 20
    • 21344496605 scopus 로고
    • Nonparametric regression with errors in variables
    • [192, 196]
    • Fan, J., and Truong, Y. K. (1993), "Nonparametric Regression With Errors in Variables," The Annals of Statistics, 21, 1900-1925. [192,196]
    • (1993) The Annals of Statistics , vol.21 , pp. 1900-1925
    • Fan, J.1    Truong, Y.K.2
  • 21
    • 0021477545 scopus 로고
    • The monotone smoothing of scatterplots
    • [192]
    • Friedman, J. H., and Tibshirani, R. J. (1984), "The Monotone Smoothing of Scatterplots," Technometrics, 26, 243-250. [192]
    • (1984) Technometrics , vol.26 , pp. 243-250
    • Friedman, J.H.1    Tibshirani, R.J.2
  • 22
    • 84945603474 scopus 로고
    • On the theory of mortality measurement II
    • [191]
    • Grenander, U. (1956), "On the Theory of Mortality Measurement II," Skandinavian Aktuarietidskr, 39, 125-153. [191]
    • (1956) Skandinavian Aktuarietidskr , vol.39 , pp. 125-153
    • Grenander, U.1
  • 23
    • 0035528158 scopus 로고    scopus 로고
    • Estimation of a convex function: Characterizations and asymptotic theory
    • [192]
    • Groeneboom, P. (2001), "Estimation of a Convex Function: Characterizations and Asymptotic Theory," The Annals of Statistics, 29, 1653-1698. [192]
    • (2001) The Annals of Statistics , vol.29 , pp. 1653-1698
    • Groeneboom, P.1
  • 24
    • 0035539846 scopus 로고    scopus 로고
    • Nonparametric kernel regression subject to monotonicity constraints
    • [191,192,197]
    • Hall, P., and Huang, L. S. (2001), "Nonparametric Kernel Regression Subject to Monotonicity Constraints," The Annals of Statistics, 29, 624-647. [191,192,197]
    • (2001) The Annals of Statistics , vol.29 , pp. 624-647
    • Hall, P.1    Huang, L.S.2
  • 25
    • 0036822874 scopus 로고    scopus 로고
    • Unimodal density estimation using kernel methods
    • [191,192]
    • Hall, P., and Huang, L. S. (2002), "Unimodal Density Estimation Using Kernel Methods," Statistica Sinica, 12, 965-990. [191,192]
    • (2002) Statistica Sinica , vol.12 , pp. 965-990
    • Hall, P.1    Huang, L.S.2
  • 26
    • 17244369948 scopus 로고    scopus 로고
    • Unimodal kernel density estimation by data sharpening
    • [192]
    • Hall, P., and Kang, K. H. (2005), "Unimodal Kernel Density Estimation by Data Sharpening," Statistica Sinica, 15, 73-98. [192]
    • (2005) Statistica Sinica , vol.15 , pp. 73-98
    • Hall, P.1    Kang, K.H.2
  • 27
    • 0012320698 scopus 로고
    • Correcting the negativity of high-order kernel density estimators
    • .[193]
    • Hall, P., and Murison, R. D. (1993), "Correcting the Negativity of High-Order Kernel Density Estimators," Journal of Multivariate Analysis, 47, 103-122.[193]
    • (1993) Journal of Multivariate Analysis , vol.47 , pp. 103-122
    • Hall, P.1    Murison, R.D.2
  • 29
    • 0000958548 scopus 로고
    • Bootstrap simultaneous error bars for nonparametric regression
    • [195]
    • Härdle, W., and Marron, J. S. (1991), "Bootstrap Simultaneous Error Bars for Nonparametric Regression," The Annals of Statistics, 19, 778-796. [195]
    • (1991) The Annals of Statistics , vol.19 , pp. 778-796
    • Härdle, W.1    Marron, J.S.2
  • 30
    • 0025677551 scopus 로고
    • Monotone smoothing with application to dose-response curves and assessment of synergism
    • [192]
    • Kelly, C., and Rice, J. (1990), "Monotone Smoothing With Application to Dose-Response Curves and Assessment of Synergism," Biometrics, 46, 1071-1085. [192]
    • (1990) Biometrics , vol.46 , pp. 1071-1085
    • Kelly, C.1    Rice, J.2
  • 31
    • 0000899362 scopus 로고
    • Nonparametric regression under qualitative smoothness assumptions
    • [192]
    • Mammen, E. (1991), "Nonparametric Regression Under Qualitative Smoothness Assumptions," The Annals of Statistics, 19, 741-759. [192]
    • (1991) The Annals of Statistics , vol.19 , pp. 741-759
    • Mammen, E.1
  • 32
    • 0001308460 scopus 로고
    • On qualitative smoothness of kernel density estimates
    • [192]
    • Mammen, E. (1995), "On Qualitative Smoothness of Kernel Density Estimates," Statistics, 26, 253-267. [192]
    • (1995) Statistics , vol.26 , pp. 253-267
    • Mammen, E.1
  • 33
    • 58249105239 scopus 로고    scopus 로고
    • On testing for local monotonicity in deconvolution problems
    • [192]
    • Meister, A. (2009), "On Testing for Local Monotonicity in Deconvolution Problems," Statistics and Probability Letters, 79, 312-319. [192]
    • (2009) Statistics and Probability Letters , vol.79 , pp. 312-319
    • Meister, A.1
  • 34
    • 0000290116 scopus 로고
    • Monotone nonparametric regression
    • [192]
    • Mukerjee, H. (1988), "Monotone Nonparametric Regression," The Annals of Statistics, 16, 741-750. [192]
    • (1988) The Annals of Statistics , vol.16 , pp. 741-750
    • Mukerjee, H.1
  • 35
    • 17244371521 scopus 로고    scopus 로고
    • Weighted residual- based density estimators for nonlinear autoregressive models
    • [191]
    • Müller, U. U., Schick, A., and Wefelmeyer, W. G. (2005), "Weighted Residual- Based Density Estimators for Nonlinear Autoregressive Models," Statistica Sinica, 15, 177-195. [191]
    • (2005) Statistica Sinica , vol.15 , pp. 177-195
    • Müller, U.U.1    Schick, A.2    Wefelmeyer, W.G.3
  • 36
    • 33947131133 scopus 로고    scopus 로고
    • A note on uniform consistency of monotone function estimators
    • [192]
    • Neumeyer, N. (2007), "A Note on Uniform Consistency of Monotone Function Estimators," Statistics and Probability Letters, 77, 693-703. [192]
    • (2007) Statistics and Probability Letters , vol.77 , pp. 693-703
    • Neumeyer, N.1
  • 37
    • 38549113694 scopus 로고    scopus 로고
    • Large sample properties of shape restricted regression estimators with smoothness adjustments
    • [192]
    • Pal, J. K., and Woodroofe, M. (2007), "Large Sample Properties of Shape Restricted Regression Estimators With Smoothness Adjustments," Statistica Sinica, 17, 1601-1616. [192]
    • (2007) Statistica Sinica , vol.17 , pp. 1601-1616
    • Pal, J.K.1    Woodroofe, M.2
  • 39
    • 0009990226 scopus 로고
    • Probabilities of moderate deviations
    • [199]
    • Rubin, H., and Sethuramen, J. (1965), "Probabilities of Moderate Deviations," Sankhy-a, Ser. A, 27, 325-346. [199]
    • (1965) Sankhy-a, Ser. A , vol.27 , pp. 325-346
    • Rubin, H.1    Sethuramen, J.2
  • 41
    • 84972949113 scopus 로고
    • Deconvoluting kernel density estimators
    • [192]
    • Stefanski, L., and Carroll, R. J. (1990), "Deconvoluting Kernel Density Estimators," Statistics, 21, 169-184. [192]
    • (1990) Statistics , vol.21 , pp. 169-184
    • Stefanski, L.1    Carroll, R.J.2
  • 42
    • 0030585665 scopus 로고    scopus 로고
    • Adaptive smoothing for a penalized npmle of a non-increasing density
    • [192]
    • Sun, J., and Woodroofe, M. (1996), "Adaptive Smoothing for a Penalized Npmle of a Non-Increasing Density," Journal of Statistical Planning & Inference, 52, 143-159. [192]
    • (1996) Journal of Statistical Planning & Inference , vol.52 , pp. 143-159
    • Sun, J.1    Woodroofe, M.2


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