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Volumn 28, Issue 4, 2001, Pages 577-602

On quasi likelihood equations with non-parametric weights

Author keywords

Empirical process; Infinite dimensional nuisance parameters; Non parametric estimating equations; Quasi likelihood; Roughness penalty; Spline

Indexed keywords


EID: 0035541828     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00256     Document Type: Article
Times cited : (4)

References (38)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • Adams, R. A. (1975). Sobolev spaces. Academic Press, New York.
    • (1975) Sobolev Spaces
    • Adams, R.A.1
  • 2
    • 0004151496 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • Bhatia, R. (1997). Matrix analysis. Springer-Verlag, New York.
    • (1997) Matrix Analysis
    • Bhatia, R.1
  • 4
    • 0000782631 scopus 로고
    • Adapting for heteroscedasticity in linear models
    • Carroll, R. J. (1982). Adapting for heteroscedasticity in linear models. Ann. Statist. 10, 1224-1233.
    • (1982) Ann. Statist. , vol.10 , pp. 1224-1233
    • Carroll, R.J.1
  • 5
    • 0033243854 scopus 로고    scopus 로고
    • Nonparametric quasi-likelihood
    • Chiou, J.-M. & Müller, H.-G. (1999). Nonparametric quasi-likelihood. Ann. Statist. 27, 36-64.
    • (1999) Ann. Statist. , vol.27 , pp. 36-64
    • Chiou, J.-M.1    Müller, H.-G.2
  • 6
    • 0001573366 scopus 로고
    • On consistency and inconsistency of estimating equations
    • Crowder, M. (1986). On consistency and inconsistency of estimating equations. Econometric Theory 3, 305-330.
    • (1986) Econometric Theory , vol.3 , pp. 305-330
    • Crowder, M.1
  • 8
    • 0000565483 scopus 로고
    • Probability and statistics
    • Doob, J. S. (1934). Probability and statistics. Trans. Amer. Math. Soc. 36, 759-775.
    • (1934) Trans. Amer. Math. Soc. , vol.36 , pp. 759-775
    • Doob, J.S.1
  • 9
    • 84895372431 scopus 로고
    • Double exponential families and their use in generalized linear regression
    • Efron, B. (1986). Double exponential families and their use in generalized linear regression. J. Amer. Statist. Assoc. 81, 709-721.
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 709-721
    • Efron, B.1
  • 10
    • 84950447968 scopus 로고
    • Local polynomial kernel regression for generalized linear models and quasi-likelihood functions
    • Fan, J., Heckman, N. E. & Wand, J. G. (1995). Local polynomial kernel regression for generalized linear models and quasi-likelihood functions. J. Amer. Statist. Assoc. 90, 141-150.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 141-150
    • Fan, J.1    Heckman, N.E.2    Wand, J.G.3
  • 12
    • 0000955861 scopus 로고
    • Exponential dispersion models (with discussion)
    • Jorgensen, B. (1987). Exponential dispersion models (with discussion). J. Roy. Statist. Soc. Ser. B 49, 127-162.
    • (1987) J. Roy. Statist. Soc. Ser. B , vol.49 , pp. 127-162
    • Jorgensen, B.1
  • 13
    • 0000038267 scopus 로고
    • A deviance function for the quasi likelihood method
    • Li, B. (1993). A deviance function for the quasi likelihood method. Biometrika 80, 741-753.
    • (1993) Biometrika , vol.80 , pp. 741-753
    • Li, B.1
  • 14
    • 0030487957 scopus 로고
    • A minimax approach to the consistency and efficiency for estimating equations
    • Li, B. (1995). A minimax approach to the consistency and efficiency for estimating equations. Ann. Statist. 24, 1283-1297.
    • (1995) Ann. Statist. , vol.24 , pp. 1283-1297
    • Li, B.1
  • 15
    • 0038957409 scopus 로고    scopus 로고
    • Nonparametric estimating equations based on a penalized information criterion
    • to appear
    • Li, B. (2000). Nonparametric estimating equations based on a penalized information criterion. Canad. J. Statist. 28, to appear.
    • (2000) Canad. J. Statist. , vol.28
    • Li, B.1
  • 16
    • 77649173768 scopus 로고
    • Longitudinal data analysis using generalized linear models
    • Liang, K. Y. & Zeger, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika 73, 13-22.
    • (1986) Biometrika , vol.73 , pp. 13-22
    • Liang, K.Y.1    Zeger, S.L.2
  • 17
    • 0000485838 scopus 로고
    • Using empirical partially bayes inference for increased efficiency
    • Lindsay, B. G. (1985). Using empirical partially Bayes inference for increased efficiency. Ann. Statist. 13, 914-931.
    • (1985) Ann. Statist. , vol.13 , pp. 914-931
    • Lindsay, B.G.1
  • 19
    • 0001898235 scopus 로고
    • Quasi-likelihood functions
    • McCullagh, P. (1983). Quasi-likelihood functions. Ann. Statist. 11, 59-67.
    • (1983) Ann. Statist. , vol.11 , pp. 59-67
    • McCullagh, P.1
  • 20
    • 0007153451 scopus 로고
    • Exponential mixtures and quadratic exponential families
    • McCullagh, P. (1994). Exponential mixtures and quadratic exponential families. Biometrika 81, 721-730.
    • (1994) Biometrika , vol.81 , pp. 721-730
    • McCullagh, P.1
  • 22
    • 0031508286 scopus 로고    scopus 로고
    • Penalized quasi-likelihood estimation in partial linear models
    • Mammen, E. & van de Geer, S. (1997). Penalized quasi-likelihood estimation in partial linear models. Ann. Statist. 25, 1014-1035.
    • (1997) Ann. Statist. , vol.25 , pp. 1014-1035
    • Mammen, E.1    Van De Geer, S.2
  • 23
    • 0000456152 scopus 로고
    • An extended quasi likelihood function
    • Nelder, J. A. & Pregibon, D. (1987). An extended quasi likelihood function. Biometrika 74, 221-232.
    • (1987) Biometrika , vol.74 , pp. 221-232
    • Nelder, J.A.1    Pregibon, D.2
  • 24
    • 0037577824 scopus 로고
    • Review of generalized linear models
    • McCullagh and Nelder
    • Pregibon, D. (1984). Review of Generalized Linear Models by McCullagh and Nelder. Ann. Statist. 74, 221-232.
    • (1984) Ann. Statist. , vol.74 , pp. 221-232
    • Pregibon, D.1
  • 25
    • 0024266392 scopus 로고
    • Correlated binary regression with covariates specific to each binary observation
    • Prentice, R. L. (1988). Correlated binary regression with covariates specific to each binary observation. Biometrics 44, 1033-1048.
    • (1988) Biometrics , vol.44 , pp. 1033-1048
    • Prentice, R.L.1
  • 26
    • 0026010582 scopus 로고
    • Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses
    • Prentice, R. L. & Zhao, L. P. (1991). Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses. Biometrics 47, 825-839.
    • (1991) Biometrics , vol.47 , pp. 825-839
    • Prentice, R.L.1    Zhao, L.P.2
  • 27
    • 84950442031 scopus 로고
    • Quasi-likelihood estimation in semiparametric models
    • Severini, T. A. & Staniswalis, J. G. (1994). Quasi-likelihood estimation in semiparametric models. J. Amer. Statist. Assoc. 89, 501-511.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 501-511
    • Severini, T.A.1    Staniswalis, J.G.2
  • 28
    • 0001306757 scopus 로고
    • Generalizations of ancillarity, completeness and sufficiency in an inference function space
    • Small, C. G. & McLeish, D. L. (1988). Generalizations of ancillarity, completeness and sufficiency in an inference function space. Ann. Statist. 16, 534-551.
    • (1988) Ann. Statist. , vol.16 , pp. 534-551
    • Small, C.G.1    McLeish, D.L.2
  • 29
    • 0000601691 scopus 로고
    • Projection as a method for increasing sensitivity and eliminating nuisance parameters
    • Small, C. G. & McLeish, D. L. (1989). Projection as a method for increasing sensitivity and eliminating nuisance parameters. Biometrika 76, 693-703.
    • (1989) Biometrika , vol.76 , pp. 693-703
    • Small, C.G.1    McLeish, D.L.2
  • 32
    • 0000167944 scopus 로고
    • Note on the consistency of maximum likelihood estimate
    • Wald, A. (1949). Note on the consistency of maximum likelihood estimate. Ann. Math. Statist. 20, 595-601.
    • (1949) Ann. Math. Statist. , vol.20 , pp. 595-601
    • Wald, A.1
  • 34
    • 0016335739 scopus 로고
    • Quasi-likelihood, generalized linear models, and the Gauss-Newton method
    • Wedderburn, R. W. M. (1974). Quasi-likelihood, generalized linear models, and the Gauss-Newton method. Biometrika 61, 439-447.
    • (1974) Biometrika , vol.61 , pp. 439-447
    • Wedderburn, R.W.M.1
  • 35
    • 0030558595 scopus 로고    scopus 로고
    • Quasi-likelihood models and optimal inference
    • Wefelmeyer, W. (1996). Quasi-likelihood models and optimal inference. Ann. Statist. 24, 405-422.
    • (1996) Ann. Statist. , vol.24 , pp. 405-422
    • Wefelmeyer, W.1
  • 36
    • 0031536957 scopus 로고    scopus 로고
    • Adaptive estimators for parameters of the autoregression function of a Markov chain
    • Wefelmeyer, W. (1997a). Adaptive estimators for parameters of the autoregression function of a Markov chain. J. Statist. Plann. Inference 58, 389-398.
    • (1997) J. Statist. Plann. Inference , vol.58 , pp. 389-398
    • Wefelmeyer, W.1
  • 37
    • 0007154395 scopus 로고    scopus 로고
    • Quasi-likelihood regression models for Markov chains
    • Selected proceedings of the symposium of estimating functions (eds I. V. Basawa, V. P. Godambe & R. L. Taylor), Institute of Mathematical Statistics, Haywood, CA
    • Wefelmeyer, W. (1997b). Quasi-likelihood regression models for Markov Chains. In Selected proceedings of the symposium of estimating functions (eds I. V. Basawa, V. P. Godambe & R. L. Taylor), Lecture Notes -Monograph Series, 32, 149-173. Institute of Mathematical Statistics, Haywood, CA.
    • (1997) Lecture Notes -Monograph Series , vol.32 , pp. 149-173
    • Wefelmeyer, W.1
  • 38
    • 0003091132 scopus 로고
    • Theory of partial likelihood
    • Wong, W. H. (1986). Theory of partial likelihood. Ann. Statist. 14, 88-123.
    • (1986) Ann. Statist. , vol.14 , pp. 88-123
    • Wong, W.H.1


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