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  • 标题:The work of Fernando de Helguero on non-normality arising from selection
  • 本地全文:下载
  • 作者:Adelchi Azzalini ; Giuliana Regoli
  • 期刊名称:Chilean Journal of Statistics
  • 印刷版ISSN:0718-7912
  • 电子版ISSN:0718-7920
  • 出版年度:2012
  • 卷号:3
  • 期号:2
  • 页码:113-128
  • 出版社:Chilean Statistical Society
  • 摘要:The current literature on so-called ‘skew-symmetric distributions’ is closely linked to the idea of a selection mechanism operated by some latent variable. We illustrate the pioneering work of Fernando de Helguero who in 1908 put forward a formulation for the genesis of non-normal distributions via a selection mechanism, which perturbs a normal distribution, hence employing a closely connected argument with the one now widely used in this context. Arguably, de Helguero can then be considered the precursor of the current idea of skew-symmetric distributions. Unfortunately, a tragic quirk of fate did not allow him to pursue his project beyond the initial formulation and his work went unnoticed for the rest of the 20th century.
  • 关键词:Hidden truncation model · History of statistics · Selection models;· Selective sampling · Skew-normal distribution · Weighted distributions.tions.
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