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Monotonicity of regression functions in structural measurement error models

Author

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  • Hwang, Gene T.
  • Stefanski, Leonard A.

Abstract

We study monotonicity properties of E(TX = x) when E(TU = u) is monotone and X = U + Z, where Z is independent of U and T. Sufficient conditions for monotonicity of E(TX = x) have been given by Efron (1965) and Lehmann (1966). We show that for a general class of heavy-tailed measurement-error densities E(TX = x) is not monotone.

Suggested Citation

  • Hwang, Gene T. & Stefanski, Leonard A., 1994. "Monotonicity of regression functions in structural measurement error models," Statistics & Probability Letters, Elsevier, vol. 20(2), pages 113-116, May.
    • Handle: RePEc:eee:stapro:v:20:y:1994:i:2:p:113-116
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    Cited by:

    1. Saumard, Adrien & Wellner, Jon A., 2018. "Efron’s monotonicity property for measures on R2," Journal of Multivariate Analysis, Elsevier, vol. 166(C), pages 212-224.
    2. Franco Pellerey & Jorge Navarro, 2022. "Stochastic monotonicity of dependent variables given their sum," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 543-561, June.

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