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Conditional Estimators in Exponential Regression with Errors in Covariates

In: Modern Stochastics and Applications

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  • Sergiy Shklyar

    (Taras Shevchenko National University of Kyiv)

Abstract

In this chapter we deal with a regression model in which there is Gaussian error in the regressor and the response variable has an exponential distribution. We consider three methods of estimation: Sufficiency estimator, Conditional Score estimators developed by Stefanski and Carroll (Biometrika 74, 703–716 1987), and Corrected Score estimator developed by Stefanski (Commun. Stat. Theory Methods 18, 4335–4358 1989) and Nakamura (Biometrika 77, 127–132 1990). We have written explicitly the estimating equations for these estimators. Sufficiency and Corrected Score estimators were compared numerically.

Suggested Citation

  • Sergiy Shklyar, 2014. "Conditional Estimators in Exponential Regression with Errors in Covariates," Springer Optimization and Its Applications, in: Volodymyr Korolyuk & Nikolaos Limnios & Yuliya Mishura & Lyudmyla Sakhno & Georgiy Shevchenko (ed.), Modern Stochastics and Applications, edition 127, pages 337-349, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-03512-3_19
    DOI: 10.1007/978-3-319-03512-3_19
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