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Exact and Approximate Statistical Inference for Nonlinear Regression and the Estimating Equation Approach

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  • Eugene Demidenko

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  • Eugene Demidenko, 2017. "Exact and Approximate Statistical Inference for Nonlinear Regression and the Estimating Equation Approach," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 44(3), pages 636-665, September.
    • Handle: RePEc:bla:scjsta:v:44:y:2017:i:3:p:636-665
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    File URL: http://hdl.handle.net/10.1111/sjos.12269
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    References listed on IDEAS

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    1. Hougaard, Philip, 1985. "Saddlepoint approximations for curved exponential families," Statistics & Probability Letters, Elsevier, vol. 3(3), pages 161-166, June.
    2. Andrej Pázman, 1999. "Some Properties and Improvements of the Saddlepoint Approximation in Nonlinear Regression," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(3), pages 463-478, September.
    3. E. Demidenko, 2008. "Criteria for Unconstrained Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 136(3), pages 375-395, March.
    4. Demidenko, Eugene, 2006. "Criteria for global minimum of sum of squares in nonlinear regression," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1739-1753, December.
    5. Jens Jensen & Andrew Wood, 1998. "Large Deviation and Other Results for Minimum Contrast Estimators," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(4), pages 673-695, December.
    6. Robert L. Paige & A. Alexandre Trindade & P. Harshini Fernando, 2009. "Saddlepoint‐Based Bootstrap Inference for Quadratic Estimating Equations," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 36(1), pages 98-111, March.
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    Cited by:

    1. Dragan Jukić & Kristian Sabo, 2021. "An existence criterion for the nonlinear $$\ell _p$$ ℓ p -norm fitting problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 957-966, September.
    2. Claudia Furlan & Cinzia Mortarino, 2020. "Comparison among simultaneous confidence regions for nonlinear diffusion models," Computational Statistics, Springer, vol. 35(4), pages 1951-1991, December.
    3. Andrej Pázman, 2019. "Distribution of the multivariate nonlinear LS estimator under an uncertain input," Statistical Papers, Springer, vol. 60(2), pages 529-544, April.

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