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On Consistency and Inconsistency of Estimating Equations

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  • Crowder, Martin

Abstract

The primary concern is to establish a fairly general framework in which estimators resulting from estimating equations gnθ = 0 are not consistent. This leads on to consistency by an intuitive route. Asymptotic distributions of consistent estimators are also touched upon, and the results are applied to various examples.

Suggested Citation

  • Crowder, Martin, 1986. "On Consistency and Inconsistency of Estimating Equations," Econometric Theory, Cambridge University Press, vol. 2(3), pages 305-330, December.
  • Handle: RePEc:cup:etheor:v:2:y:1986:i:03:p:305-330_01
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    Citations

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    Cited by:

    1. Bera, Anil K. & Bilias, Yannis, 2002. "The MM, ME, ML, EL, EF and GMM approaches to estimation: a synthesis," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 51-86, March.
    2. Gaetano Iaquinta & Fabio Lamantia & Ivar Massabò & Sergio Ortobelli, 2009. "Moment based approaches to value the risk of contingent claim portfolios," Annals of Operations Research, Springer, vol. 165(1), pages 97-121, January.
    3. Elizabeth A. Sugar & Ching-Yun Wang & Ross L. Prentice, 2007. "Logistic Regression with Exposure Biomarkers and Flexible Measurement Error," Biometrics, The International Biometric Society, vol. 63(1), pages 143-151, March.
    4. Michaela Prokešová & Eva Jensen, 2013. "Asymptotic Palm likelihood theory for stationary point processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(2), pages 387-412, April.
    5. Martin Crowder, 2011. "Estimating functions for repeated measures with incidental parameters," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(3), pages 535-558, June.
    6. Hui Huang & Xiaomei Ma & Rasmus Waagepetersen & Theodore R. Holford & Rong Wang & Harvey Risch & Lloyd Mueller & Yongtao Guan, 2014. "A New Estimation Approach for Combining Epidemiological Data From Multiple Sources," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(505), pages 11-23, March.
    7. Akim Adekpedjou & Sophie Dabo‐Niang, 2021. "Semiparametric estimation with spatially correlated recurrent events," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 48(4), pages 1097-1126, December.
    8. Samuel D. Oman & Victoria Landsman & Yohay Carmel & Ronen Kadmon, 2007. "Analyzing Spatially Distributed Binary Data Using Independent-Block Estimating Equations," Biometrics, The International Biometric Society, vol. 63(3), pages 892-900, September.
    9. Huggins, Richard, 1996. "On the identifiability of measurement error in the bifurcating autoregressive model," Statistics & Probability Letters, Elsevier, vol. 27(1), pages 17-23, March.
    10. Oliver Grothe, 2012. "A higher order correlation unscented Kalman filter," Papers 1207.4300, arXiv.org.

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