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Efficiency of projected score methods in rectangular array asymptotics

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  • Haihong Li
  • Bruce G. Lindsay
  • Richard P. Waterman
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    Abstract

    The paper considers a rectangular array asymptotic embedding for multistratum data sets, in which both the number of strata and the number of within-stratum replications increase, and at the same rate. It is shown that under this embedding the maximum likelihood estimator is consistent but not efficient owing to a non-zero mean in its asymptotic normal distribution. By using a projection operator on the score function, an adjusted maximum likelihood estimator can be obtained that is asymptotically unbiased and has a variance that attains the Cramér-Rao lower bound. The adjusted maximum likelihood estimator can be viewed as an approximation to the conditional maximum likelihood estimator. Copyright 2003 Royal Statistical Society.

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    Bibliographic Info

    Article provided by Royal Statistical Society in its journal Journal of the Royal Statistical Society: Series B (Statistical Methodology).

    Volume (Year): 65 (2003)
    Issue (Month): 1 ()
    Pages: 191-208

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    Handle: RePEc:bla:jorssb:v:65:y:2003:i:1:p:191-208

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    Cited by:
    1. Jørgensen, Bent & Demétrio, Clarice G.B. & Kristensen, Erik & Banta, Gary T. & Petersen, Hans Christian & Delefosse, Matthieu, 2011. "Bias-corrected Pearson estimating functions for Taylor's power law applied to benthic macrofauna data," Statistics & Probability Letters, Elsevier, vol. 81(7), pages 749-758, July.
    2. Geert Dhaene & Koen Jochmans, 2010. "Split-panel jackknife estimation of fixed-effect models," Sciences Po publications info:hdl:2441/eu4vqp9ompq, Sciences Po.
    3. Kato, Kengo & F. Galvao, Antonio & Montes-Rojas, Gabriel V., 2012. "Asymptotics for panel quantile regression models with individual effects," Journal of Econometrics, Elsevier, vol. 170(1), pages 76-91.
    4. Carro, Jesus M., 2007. "Estimating dynamic panel data discrete choice models with fixed effects," Journal of Econometrics, Elsevier, vol. 140(2), pages 503-528, October.
    5. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09ij4j0h0h1 is not listed on IDEAS

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