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Shrinkage estimation strategy in quasi-likelihood models

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  • Ejaz Ahmed, S.
  • Fallahpour, Saber

Abstract

In this paper we consider the estimation problem for the quasi-likelihood model in presence of non-sample information (NSI). More specifically, we introduce a shrinkage estimation strategy for simultaneous model selection and parameter estimation by using the maximum quasi-likelihood estimates as the benchmark estimator, and define the pretest estimator (PTE), shrinkage estimator (SE) and positive-rule shrinkage estimator (PSE). Furthermore, we apply the lasso-type estimation strategy and compare the relative performance of lasso with the suggested estimators. The shrinkage estimators are shown to be efficient estimators compared to others. When the NSI is true the PTE has less risk compared to shrinkage and lasso estimators.

Suggested Citation

  • Ejaz Ahmed, S. & Fallahpour, Saber, 2012. "Shrinkage estimation strategy in quasi-likelihood models," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2170-2179.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:12:p:2170-2179
    DOI: 10.1016/j.spl.2012.08.001
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    References listed on IDEAS

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    3. Maeyama, Yusuke & Tamaki, Kenichiro & Taniguchi, Masanobu, 2011. "Preliminary test estimation for spectra," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1580-1587, November.
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    5. Ahmed, S. E., 1991. "To pool or not to pool: The discrete data," Statistics & Probability Letters, Elsevier, vol. 11(3), pages 233-237, March.
    6. Ahmed, S. Ejaz & Volodin, Andrei I. & Volodin, Igor N., 2009. "High order approximation for the coverage probability by a confident set centered at the positive-part James-Stein estimator," Statistics & Probability Letters, Elsevier, vol. 79(17), pages 1823-1828, September.
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    Cited by:

    1. Namazi-Rad, Mohammad-Reza & Mokhtarian, Payam & Shukla, Nagesh & Munoz, Albert, 2016. "A data-driven predictive model for residential mobility in Australia – A generalised linear mixed model for repeated measured binary data," Journal of choice modelling, Elsevier, vol. 20(C), pages 49-60.

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