On the Mean Square Error of Smooth $L$-Estimator

Ibrahim A. Ahmad; A. R. Mugdadi

doi:10.35834/2020/3202121

Abstract

An $L$-estimator is a form of linear function of order statistics. Xiang [8] investigated the bias of this estimator. In this investigation, we derive a formula for the mean square error of the smooth $L$-estimator.

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Ibrahim A. Ahmad. A. R. Mugdadi. "On the Mean Square Error of Smooth $L$-Estimator." Missouri J. Math. Sci. 32 (2) 121 - 127, November 2020. https://doi.org/10.35834/2020/3202121

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Published: November 2020

First available in Project Euclid: 6 November 2020

MathSciNet: MR4171133

Digital Object Identifier: 10.35834/2020/3202121

Subjects:

Primary: 62G05

Secondary: 62G30

Keywords: $L$-estimator , Mean square error , order statistic

Abstract

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