具有规定分量界和排序的单变量分布的极大极小误差选择

Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences Pub Date : 1969-07-01 DOI:10.6028/JRES.073B.022

A. J. Goldman

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引用次数: 0

摘要

首先讨论的是如何用一种简单的方法找到一个可重复的、合理的和可计算的频率分布，即选择一个具有规定的分量排序和规定的这些分量的上界和下界的频率分布。这个问题被证明是简单的。当采用最小-最大误差选择c时，“误差”是通过最大绝对误差来测量的-这是一个分量之间的误差。在这种情况下是一个物体。获得一种特定形式的编程程序，并提供明确的it解决方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Minimax Error Selection of a Univariate Distribution With Prescribed Componentwise Bounds and Ranking

The top ic treated is that of fi nding a re producib le, plaus ible and computationall y s imple method of selecting a di screte frequency di s tribution with a prescr ib ed rankin g of its components and pre· scrib ed upper and lowe r bounds on these compone nt. s . The problem is s hown to be tract.ab le when a minimax error selection c rit e ri on is e mployed, and "error " is measure d by maximum absolut e devia ti on a mong co mpone nts. In thi s case one obt.ains a lin ea r progra m of a specia l form ad mittin g expli c it solutio n.

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Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences

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