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Interval Estimation in Structural Errors-in-Variables Model with Partial Replication

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  • Huwang, L.

Abstract

Confidence sets are constructed for the coefficients in a structural errors-invariables model with partial replication. These confidence sets are different from the traditional asymptotic confidence sets which have zero confidence levels, where the confidence level of a confidence set is defined to be the infimum coverage probability over the parameter space. The proposed confidence sets have positive confidence levels. Furthermore, it is shown that they have coverage probabilities converging to the nominal levels uniformly in all parameters as the sample size goes to infinity. An optimality property of the proposed confidence set for the slope in the model is also demonstrated.

Suggested Citation

  • Huwang, L., 1995. "Interval Estimation in Structural Errors-in-Variables Model with Partial Replication," Journal of Multivariate Analysis, Elsevier, vol. 55(2), pages 230-245, November.
    • Handle: RePEc:eee:jmvana:v:55:y:1995:i:2:p:230-245
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    Cited by:

    1. Weijia Jia & Weixing Song, 2018. "Goodness-of-fit tests in linear EV regression with replications," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(4), pages 395-421, May.

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