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Bump hunting in regression analysis

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  • Heckman, Nancy E.

Abstract

Computer techniques for scatter-plot smoothing are valuable exploratory analysis tools. However, one must exercise caution when making inferences based on features of the smoothed data. Here, the size and number of observed modes are studied: the asymptotic distributions are determined under the assumption of constancy of the true regression function, and sufficient conditions for consistency of the estimated number of modes and their locations are given in the general case.

Suggested Citation

  • Heckman, Nancy E., 1992. "Bump hunting in regression analysis," Statistics & Probability Letters, Elsevier, vol. 14(2), pages 141-152, May.
    • Handle: RePEc:eee:stapro:v:14:y:1992:i:2:p:141-152
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    Cited by:

    1. J. Campbell, 2009. "Singularity estimation via structural intensity: applications and modifications," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(1), pages 67-84.

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