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Biased Adjusted Poisson Ridge Estimators-Method and Application.

Muhammad Qasim1, Kristofer Månsson1, Muhammad Amin2

  • 1Department of Economics, Finance and Statistics, Jönköping University, Jönköping, Sweden.

Iranian Journal of Science and Technology. Transaction A, Science
|October 12, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces new Modified Almost Unbiased Poisson Ridge Regression Estimators (MAUPRRE) to address multicollinearity bias. The proposed MAUPRRE estimator shows superior performance compared to existing methods in high multicollinearity scenarios.

Keywords:
Maximum likelihood estimatorMean square errorModified almost unbiased ridge estimatorsMulticollinearityPoisson ridge regression

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Area of Science:

  • Econometrics
  • Statistical Modeling

Background:

  • Multicollinearity poses challenges in Poisson regression models.
  • The Poisson Ridge Regression Estimator (PRRE) reduces multicollinearity but introduces bias.
  • Previous work explored almost unbiased ridge estimators to mitigate PRRE bias.

Purpose of the Study:

  • To derive mean square error properties for Modified Almost Unbiased PRRE (MAUPRRE) and Almost Unbiased PRRE (AUPRRE).
  • To propose novel ridge estimators for MAUPRRE and AUPRRE.
  • To evaluate and compare the performance of MAUPRRE against AUPRRE, PRRE, and maximum likelihood estimators.

Main Methods:

  • Theoretical derivation of mean square error properties.
  • Development of new ridge regression estimators.
  • Empirical evaluation using simulation studies.
  • Validation with a real-world dataset from the Swedish football league.

Main Results:

  • The proposed MAUPRRE estimator demonstrates improved performance.
  • MAUPRRE effectively reduces bias and multicollinearity effects.
  • Performance comparison favored MAUPRRE in high multicollinearity (0.80-0.99).

Conclusions:

  • The novel MAUPRRE estimator offers a more efficient alternative in Poisson regression with high multicollinearity.
  • The findings suggest MAUPRRE as a valuable tool for econometric analysis in such conditions.