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Statistical Inferences Based On Non-Smooth Estimating Functions

Author

Listed:
  • Lu Tian

    (Harvard University)

  • Jun Liu

    (Harvard University)

  • Mary Zhao

    (Harvard University)

  • L. J. Wei

    (Harvard University)

Abstract

When the estimating function for a vector of parameters is not smooth, it is often rather difficult, if not impossible, to obtain a consistent estimator by solving the corresponding estimating equation using standard numerical techniques. In this paper, we propose a simple inference procedure via the importance sampling technique, which provides a consistent root of the estimating equation and also an approximation to its distribution without solving any equations or involving nonparametric function estimates. The new proposal is illustrated and evaluated via two extensive examples with real and simulated datasets. Copyright 2004, Oxford University Press.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Lu Tian & Jun Liu & Mary Zhao & L. J. Wei, 2004. "Statistical Inferences Based On Non-Smooth Estimating Functions," Harvard University Biostatistics Working Paper Series 1005, Berkeley Electronic Press.
    • Handle: RePEc:bep:hvdbio:1005
    Note: oai:bepress.com:harvardbiostat-1005
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    References listed on IDEAS

    as
    1. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    2. Heejung Bang & Anastasios A. Tsiatis, 2002. "Median Regression with Censored Cost Data," Biometrics, The International Biometric Society, vol. 58(3), pages 643-649, September.
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    Cited by:

    1. Zhang, Jiajia & Peng, Yingwei, 2007. "An alternative estimation method for the accelerated failure time frailty model," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4413-4423, May.
    2. Chaohua Dong & Jiti Gao & Bin Peng & Yundong Tu, 2023. "Smoothing the Nonsmoothness," Papers 2309.16348, arXiv.org.
    3. Larry F. León & Ray Lin & Keaven M. Anderson, 2020. "On Weighted Log-Rank Combination Tests and Companion Cox Model Estimators," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 12(2), pages 225-245, July.
    4. Jian Zhang & Faming Liang, 2008. "Convergence of stochastic approximation algorithms under irregular conditions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(3), pages 393-403, August.
    5. Yijian Huang, 2013. "Fast Censored Linear Regression," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 40(4), pages 789-806, December.
    6. Zhouping Li & Jinfeng Xu & Wang Zhou, 2016. "On Nonsmooth Estimating Functions via Jackknife Empirical Likelihood," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(1), pages 49-69, March.

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