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On the truncated normal distribution: Characteristics of singly and doubly truncated populations of application in management science.

机译:关于截断正态分布:在管理科学中应用的单双截断种群的特征。

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摘要

Truncated normal distributions have found utility in a wide variety of fields—including those within the purview of management science. Despite this fact, work to date has focused primarily on estimation of the original (non-truncated) population parameters based upon truncated or censored samples. The principal objective of this dissertation is to develop tables of the cumulative distribution function of left-, right-, and doubly-truncated normal distributions for use and reference by workers/researchers. In the process of developing these tables, the characteristic parameters of these distributions are derived in terms of “standardized” truncated normal distributions. In particular, it is shown that, in the case of singly-truncated distributions, the point of truncation uniquely determines the value of the coefficient of variation—which can, in turn, be used to estimate the truncation point based upon a sample.
机译:截断正态分布已在许多领域中找到了用途,包括管理科学范围内的那些领域。尽管如此,迄今为止,工作仍主要集中在基于截断或删失样本的原始(非截断)总体参数估计上。本文的主要目的是建立左,右和双截断正态分布的累积分布函数表,供工作者/研究人员使用和参考。在开发这些表的过程中,这些分布的特征参数是根据“标准”截断正态分布得出的。特别地,示出了在单截断分布的情况下,截断点唯一地确定了变异系数的值,该值又可以用于基于样本来估计截断点。

著录项

  • 作者

    Johnson, Arvid Conrad, III.;

  • 作者单位

    Illinois Institute of Technology.;

  • 授予单位 Illinois Institute of Technology.;
  • 学科 Operations Research.
  • 学位 Ph.D.
  • 年度 2001
  • 页码 204 p.
  • 总页数 204
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 运筹学;
  • 关键词

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