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A Distributional Identity for Generalized Order Statistics with Characterizations Useful for Prediction

Mahdi Alimohammadi et al.

Mathematical Methods of Statistics2025https://doi.org/10.3103/s106653072460060xarticle
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0.50

What the paper says

A distributional identity for generalized order statistics is presented in two versions along with a characterization of exponential and Pareto distributions, respectively, under mild conditions. In its multiplicative form, the identity extends previous random dilation results in models of ordered random variables. The relations can be utilized as a statistical method to predict future generalized order statistics or other quantities of interest within submodels.

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https://doi.org/https://doi.org/10.3103/s106653072460060x

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@article{mahdi2025,
  title        = {{A Distributional Identity for Generalized Order Statistics with Characterizations Useful for Prediction}},
  author       = {Mahdi Alimohammadi et al.},
  journal      = {Mathematical Methods of Statistics},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.3103/s106653072460060x},
}

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A Distributional Identity for Generalized Order Statistics with Characterizations Useful for Prediction

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0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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