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Linear contrasts in one-way classification AR(1) model with gamma innovations

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2016

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Hacettepe Univ, Fac Sci

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Abstract

In this study, the explicit estimators of the model parameters in oneway classification AR(1) model with gamma innovations are derived by using modified maximum likelihood (MML) methodology. We also propose a new test statistic for testing linear contrasts. Monte Carlo simulation results show that the MML estimators have higher efficiencies than the traditional least squares (LS) estimators and the proposed test has much better power and robustness properties than the normal theory test.

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Autoregressive Model, Linear Contrasts, Nonnormality, Robustness, Modified Likelihood, Gamma Distribution

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Citation

Senoglu, Birdal; Bayrak, Ozlem Turker, "Linear contrasts in one-way classification AR(1) model with gamma innovations", Hacettepe Journal of Mathematics and Statistics, Vol. 45, No. 6, pp. 17-43-1754, (2016).

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Hacettepe Journal of Mathematics and Statistics

Volume

45

Issue

6

Start Page

1743

End Page

1754