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Weak nondifferential measurement error models

Author

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  • Bolfarine, Heleno
  • Arellano-Valle, Reinaldo B.

Abstract

In this note we consider the class of weak nondifferential measurement error models, which as a special case, contains the class of the nondifferential measurement error models (Carroll et al., 1995). Examples of measurement error models which are in this class and that are not nondifferential models are considered. Only simple linear regression models are used to illustrate the approach but as indicated it can be generalized to more complex situations. Some characterization results are also reported.

Suggested Citation

  • Bolfarine, Heleno & Arellano-Valle, Reinaldo B., 1998. "Weak nondifferential measurement error models," Statistics & Probability Letters, Elsevier, vol. 40(3), pages 279-287, October.
    • Handle: RePEc:eee:stapro:v:40:y:1998:i:3:p:279-287
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    Citations

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    Cited by:

    1. Vidal, Ignacio & Arellano-Valle, Reinaldo B., 2010. "Bayesian inference for dependent elliptical measurement error models," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2587-2597, November.
    2. Vidal, Ignacio & Bolfarini, Heleno, 2011. "Bayesian estimation of regression parameters in elliptical measurement error models," Statistics & Probability Letters, Elsevier, vol. 81(9), pages 1398-1406, September.
    3. Arellano-Valle, Reinaldo B. & Azzalini, Adelchi & Ferreira, Clécio S. & Santoro, Karol, 2020. "A two-piece normal measurement error model," Computational Statistics & Data Analysis, Elsevier, vol. 144(C).
    4. Patricia Giménez & Enrico Colosimo & Heleno Bolfarine, 2006. "Asymptotic relative efficiency of score tests in Weibull models with measurement errors," Statistical Papers, Springer, vol. 47(3), pages 461-470, June.
    5. Jalmar M.F. Carrasco & Silvia L.P. Ferrari & Reinaldo B. Arellano-Valle, 2014. "Errors-in-variables beta regression models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(7), pages 1530-1547, July.
    6. Dione Valença & Heleno Bolfarine, 2006. "Testing Homogeneity in Weibull Error in Variables Models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(1), pages 115-129, March.
    7. Arellano-Valle, R.B. & Ozan, S. & Bolfarine, H. & Lachos, V.H., 2005. "Skew normal measurement error models," Journal of Multivariate Analysis, Elsevier, vol. 96(2), pages 265-281, October.

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