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Least squares estimation of two functions under order restriction in isotonicity

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  • Park, Chul Gyu

Abstract

Least squares estimators of two functions are obtained under the restriction that their difference is isotonic. The difference between the restricted estimates of the functions is the isotonic regression of that of the unrestricted estimates. Brief discussion on the practical implication of this ordering is also provided.

Suggested Citation

  • Park, Chul Gyu, 1998. "Least squares estimation of two functions under order restriction in isotonicity," Statistics & Probability Letters, Elsevier, vol. 37(1), pages 97-100, January.
    • Handle: RePEc:eee:stapro:v:37:y:1998:i:1:p:97-100
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    References listed on IDEAS

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    1. Qian, Shixian, 1992. "Minimum lower sets algorithms for isotonic regression," Statistics & Probability Letters, Elsevier, vol. 15(1), pages 31-35, September.
    2. Park, Chul Gyu, 1998. "Testing for unimodal dependence in an ordered contingency table with restricted marginal probabilities," Statistics & Probability Letters, Elsevier, vol. 37(2), pages 121-129, February.
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    Cited by:

    1. Park, Chul Gyu, 2002. "Testing for Ordered Trends of Binary Responses between Contingency Tables," Journal of Multivariate Analysis, Elsevier, vol. 81(2), pages 229-241, May.

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