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Spiking problem in monotone regression: Penalized residual sum of squares

Jayanta Kumar Pal

Statistics & Probability Letters, 2008, vol. 78, issue 12, 1548-1556

Abstract: We consider the estimation of a monotone function at its end-point, where the least square estimate is inconsistent. The least square criterion is penalized to achieve consistency. The limit distribution for the residual sum of squares is derived, to construct confidence intervals.

Date: 2008
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