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Positivity of the best unbiased L-estimator of the scale parameter with complete or selected order statistics from location-scale distribution

Author

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  • Bai, Zhidong
  • Sarkar, Sanat K.
  • Wang, Wenjin

Abstract

The positivity of the best linear unbiased estimator of the scale parameter of a location-scale family of distributions in terms of complete or selected set of order statistics has only been conjectured in the literature based solely on empirical evidence. This paper offers an analytical proof of this conjecture for distributions whose densities are log-concave.

Suggested Citation

  • Bai, Zhidong & Sarkar, Sanat K. & Wang, Wenjin, 1997. "Positivity of the best unbiased L-estimator of the scale parameter with complete or selected order statistics from location-scale distribution," Statistics & Probability Letters, Elsevier, vol. 32(2), pages 181-188, March.
    • Handle: RePEc:eee:stapro:v:32:y:1997:i:2:p:181-188
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    Citations

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    Cited by:

    1. Nickos Papadatos, 2012. "Linear estimation of location and scale parameters using partial maxima," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(2), pages 243-270, February.
    2. Balakrishnan, N. & Papadatos, N., 2002. "The use of spacings in the estimation of a scale parameter," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 193-204, April.
    3. Burkschat, M., 2009. "Multivariate dependence of spacings of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 100(6), pages 1093-1106, July.

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