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<p>With reference to a censored sample in a linear model setup, where the underlying distribution belongs to the location-scale family, we investigate inference problems on unobserved order statistics on the basis of the observed ones. Results are obtained on optimal joint prediction as well as joint estimation in the Loewner order sense. The derivation here is considerably more intricate than that in related earlier work in the iid context. Practically motivated illustrative examples are also given and discussed.</p>

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Joint Linear Estimation and Prediction Based on Order Statistics in a Linear Model

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • N. Balakrishnan,
  • Rahul Mukerjee

摘要

With reference to a censored sample in a linear model setup, where the underlying distribution belongs to the location-scale family, we investigate inference problems on unobserved order statistics on the basis of the observed ones. Results are obtained on optimal joint prediction as well as joint estimation in the Loewner order sense. The derivation here is considerably more intricate than that in related earlier work in the iid context. Practically motivated illustrative examples are also given and discussed.