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A new class of score generating functions for regression models

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  • Choi, Young Hun
  • Öztürk, Ömer

Abstract

In this paper we introduce a new score generating function for the rank dispersion function in a multiple linear regression model. The score function compares the rth and sth power of the tail probabilities of the underlying probability model. We show that the rank estimator of the regression parameter based on the proposed score function converges asymptotically to a multivariate normal distribution. Further, we discuss the selection of the appropriate r and s to improve the efficiency of the rank estimate of the regression parameter. It is shown that for right- (left-) skewed distributions the values of r

Suggested Citation

  • Choi, Young Hun & Öztürk, Ömer, 2002. "A new class of score generating functions for regression models," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 205-214, April.
  • Handle: RePEc:eee:stapro:v:57:y:2002:i:2:p:205-214
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    References listed on IDEAS

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    1. Öztürk, Ömer & Hettmansperger, Thomas P., 1996. "Almost fully efficient and robust simultaneous estimation of location and scale parameters: A minimum distance approach," Statistics & Probability Letters, Elsevier, vol. 29(3), pages 233-244, September.
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