메뉴 건너뛰기




Volumn 98, Issue 5, 2007, Pages 1072-1094

Asymptotic confidence intervals for Poisson regression

Author keywords

Confidence interval; Local polynomial kernel estimate; Poisson regression

Indexed keywords


EID: 33947237356     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2006.07.006     Document Type: Article
Times cited : (8)

References (38)
  • 1
    • 0032676483 scopus 로고    scopus 로고
    • Universal schemes for learning the best nonlinear predictor given the infinite past and side information
    • Algoet P. Universal schemes for learning the best nonlinear predictor given the infinite past and side information. IEEE Trans. Inform. Theory 45 (1999) 1165-1185
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 1165-1185
    • Algoet, P.1
  • 2
    • 0008160357 scopus 로고    scopus 로고
    • Strong universal pointwise consistency of some regression function estimation
    • Algoet P., and Györfi L. Strong universal pointwise consistency of some regression function estimation. J. Multivariate Anal. 71 (1999) 125-144
    • (1999) J. Multivariate Anal. , vol.71 , pp. 125-144
    • Algoet, P.1    Györfi, L.2
  • 3
    • 34250136988 scopus 로고
    • Approximation dans les espaces métriques et théorie de l'estimation
    • Birgé L. Approximation dans les espaces métriques et théorie de l'estimation. Z. Wahrscheinlichkeitstheorie Verwandte Gebiete 65 (1983) 181-237
    • (1983) Z. Wahrscheinlichkeitstheorie Verwandte Gebiete , vol.65 , pp. 181-237
    • Birgé, L.1
  • 4
    • 21344492381 scopus 로고
    • Rates of convergence for minimum contrast estimators
    • Birgé L., and Massart P. Rates of convergence for minimum contrast estimators. Probab. Theory Related Fields 97 (1993) 113-150
    • (1993) Probab. Theory Related Fields , vol.97 , pp. 113-150
    • Birgé, L.1    Massart, P.2
  • 5
    • 0036626306 scopus 로고    scopus 로고
    • Automatic smoothing and estimation in single index Poisson regression
    • Climov D., Hart J., and Simar L. Automatic smoothing and estimation in single index Poisson regression. J. Nonparametric Statist. 14 (2002) 307-323
    • (2002) J. Nonparametric Statist. , vol.14 , pp. 307-323
    • Climov, D.1    Hart, J.2    Simar, L.3
  • 8
    • 21844511932 scopus 로고
    • On the strong universal consistency of nearest neighbor regression function estimates
    • Devroye L., Györfi L., Krzyżak A., and Lugosi G. On the strong universal consistency of nearest neighbor regression function estimates. Ann. Statist. 22 (1994) 1371-1385
    • (1994) Ann. Statist. , vol.22 , pp. 1371-1385
    • Devroye, L.1    Györfi, L.2    Krzyzak, A.3    Lugosi, G.4
  • 9
    • 0034421301 scopus 로고    scopus 로고
    • An empirical process approach to the uniform consistency of kernel-type function estimators
    • Einmahl U., and Mason M. An empirical process approach to the uniform consistency of kernel-type function estimators. J. Theoret. Probab. 13 (2000) 1-37
    • (2000) J. Theoret. Probab. , vol.13 , pp. 1-37
    • Einmahl, U.1    Mason, M.2
  • 10
  • 13
    • 0001446881 scopus 로고    scopus 로고
    • On the strong universal consistency of a series type regression estimate
    • Györfi L., and Walk H. On the strong universal consistency of a series type regression estimate. Math. Methods Statist. 5 (1996) 332-342
    • (1996) Math. Methods Statist. , vol.5 , pp. 332-342
    • Györfi, L.1    Walk, H.2
  • 14
    • 0031574624 scopus 로고    scopus 로고
    • On the strong universal consistency of a recursive regression estimate by Pál Révész
    • Györfi L., and Walk H. On the strong universal consistency of a recursive regression estimate by Pál Révész. Statist. Probab. Lett. 31 (1997) 177-183
    • (1997) Statist. Probab. Lett. , vol.31 , pp. 177-183
    • Györfi, L.1    Walk, H.2
  • 15
    • 28044442061 scopus 로고    scopus 로고
    • On Poisson signal estimation under Kullback-Leibler discrepancy and squared risk
    • Hannig J., and Lee T.C.M. On Poisson signal estimation under Kullback-Leibler discrepancy and squared risk. J. Statist. Plann. Inference 136 (2006) 882-908
    • (2006) J. Statist. Plann. Inference , vol.136 , pp. 882-908
    • Hannig, J.1    Lee, T.C.M.2
  • 17
    • 0032488773 scopus 로고    scopus 로고
    • Maximum likelihood restoration and choice of smoothing parameter in deconvolution of image data subject to Poisson noise
    • Hudson H.M., and Lee T.C.M. Maximum likelihood restoration and choice of smoothing parameter in deconvolution of image data subject to Poisson noise. Comput. Statist. Data Anal. 26 (1998) 393-410
    • (1998) Comput. Statist. Data Anal. , vol.26 , pp. 393-410
    • Hudson, H.M.1    Lee, T.C.M.2
  • 18
    • 12244252809 scopus 로고    scopus 로고
    • Universal consistency of local polynomial kernel regression estimates
    • Kohler M. Universal consistency of local polynomial kernel regression estimates. Ann. Inst. Statist. Math. 54 (2002) 879-899
    • (2002) Ann. Inst. Statist. Math. , vol.54 , pp. 879-899
    • Kohler, M.1
  • 19
    • 0035504044 scopus 로고    scopus 로고
    • Nonparametric regression estimation using penalized least squares
    • Kohler M., and Krzyżak A. Nonparametric regression estimation using penalized least squares. IEEE Trans. Inform. Theory 47 (2001) 3054-3058
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 3054-3058
    • Kohler, M.1    Krzyzak, A.2
  • 20
    • 21744450423 scopus 로고    scopus 로고
    • Nonparametric estimation of gamma-ray burst intensities using Haar wavelets
    • Kolaczyk E.D. Nonparametric estimation of gamma-ray burst intensities using Haar wavelets. Astrophys. J. 483 (1997) 340-349
    • (1997) Astrophys. J. , vol.483 , pp. 340-349
    • Kolaczyk, E.D.1
  • 21
    • 0009885648 scopus 로고    scopus 로고
    • On a universal strong law of large numbers for conditional expectations
    • Kozek A.S., Leslie J.R., and Schuster E.F. On a universal strong law of large numbers for conditional expectations. Bernoulli 4 (1998) 143-165
    • (1998) Bernoulli , vol.4 , pp. 143-165
    • Kozek, A.S.1    Leslie, J.R.2    Schuster, E.F.3
  • 22
    • 0034238078 scopus 로고    scopus 로고
    • Nonparametric regression sinogram smoothing using a roughness-penalized Poisson likelihood of objective function
    • La Riviere P.J., and Pan X. Nonparametric regression sinogram smoothing using a roughness-penalized Poisson likelihood of objective function. IEEE Trans. Med. Imaging 19 (2000) 773-786
    • (2000) IEEE Trans. Med. Imaging , vol.19 , pp. 773-786
    • La Riviere, P.J.1    Pan, X.2
  • 23
    • 0010191129 scopus 로고
    • On the assumptions used to prove asymptotic normality of maximum likelihood estimates
    • Le Cam L. On the assumptions used to prove asymptotic normality of maximum likelihood estimates. Ann. Math. Statist. 41 (1970) 802-828
    • (1970) Ann. Math. Statist. , vol.41 , pp. 802-828
    • Le Cam, L.1
  • 24
    • 0001786903 scopus 로고
    • Convergence of estimates under dimensionality restrictions
    • Le Cam L. Convergence of estimates under dimensionality restrictions. Ann. Statist. 1 (1973) 38-53
    • (1973) Ann. Statist. , vol.1 , pp. 38-53
    • Le Cam, L.1
  • 25
    • 0029307575 scopus 로고
    • Nonparametric estimation via empirical risk minimization
    • Lugosi G., and Zeger K. Nonparametric estimation via empirical risk minimization. IEEE Trans. Inform. Theory 41 (1995) 677-687
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 677-687
    • Lugosi, G.1    Zeger, K.2
  • 27
    • 0000570382 scopus 로고
    • On estimating regression
    • Nadaraya E.A. On estimating regression. Theory Probab. Appl. 9 (1964) 141-142
    • (1964) Theory Probab. Appl. , vol.9 , pp. 141-142
    • Nadaraya, E.A.1
  • 28
    • 0034246021 scopus 로고    scopus 로고
    • A statistical multiscale framework for Poisson inverse problems
    • Nowak R.D., and Kolaczyk E.D. A statistical multiscale framework for Poisson inverse problems. IEEE Trans. Inform. Theory 46 (2000) 1811-1825
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 1811-1825
    • Nowak, R.D.1    Kolaczyk, E.D.2
  • 29
    • 0001781878 scopus 로고
    • Automatic smoothing of regression functions in generalized linear models
    • O'Sullivan F., Yandell B.S., and Raynon Jr. W.J. Automatic smoothing of regression functions in generalized linear models. J. Amer. Statist. Assoc. 81 (1986) 96-103
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 96-103
    • O'Sullivan, F.1    Yandell, B.S.2    Raynon Jr., W.J.3
  • 30
    • 0027610479 scopus 로고
    • Data-dependent bandwidth selection for emission computed tomography reconstruction
    • Pawitan Y., and O'Sullivan F. Data-dependent bandwidth selection for emission computed tomography reconstruction. IEEE Trans. Med. Imaging 12 2 (1993) 167-172
    • (1993) IEEE Trans. Med. Imaging , vol.12 , Issue.2 , pp. 167-172
    • Pawitan, Y.1    O'Sullivan, F.2
  • 31
    • 0001293371 scopus 로고
    • Consistent window estimation in nonparametric regression
    • Spiegelman C., and Sacks J. Consistent window estimation in nonparametric regression. Ann. Statist. 8 (1980) 240-246
    • (1980) Ann. Statist. , vol.8 , pp. 240-246
    • Spiegelman, C.1    Sacks, J.2
  • 32
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • Stone C.J. Consistent nonparametric regression. Ann. Statist. 5 (1977) 595-645
    • (1977) Ann. Statist. , vol.5 , pp. 595-645
    • Stone, C.J.1
  • 35
    • 6644223093 scopus 로고    scopus 로고
    • Strong universal pointwise consistency of recursive regression estimates
    • Walk H. Strong universal pointwise consistency of recursive regression estimates. Ann. Inst. Statist. Math. 53 (2001) 691-707
    • (2001) Ann. Inst. Statist. Math. , vol.53 , pp. 691-707
    • Walk, H.1
  • 36
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • Watson G.S. Smooth regression analysis. Sankhya Ser. A 26 (1964) 359-372
    • (1964) Sankhya Ser. A , vol.26 , pp. 359-372
    • Watson, G.S.1
  • 38
    • 17044412212 scopus 로고    scopus 로고
    • Automatic smoothing for Poisson regression
    • Yuan M. Automatic smoothing for Poisson regression. Commun. Statist. Theory Methods 34 (2005) 603-617
    • (2005) Commun. Statist. Theory Methods , vol.34 , pp. 603-617
    • Yuan, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.