頁籤選單縮合
題 名 | Unique Optimal Partitions of Distributions and Connections to Hazard Rates and Stochastic Ordering |
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作 者 | Mease, David; Nair, Vijayan N.; | 書刊名 | Statistica Sinica |
卷 期 | 16:4 民95.10 |
頁 次 | 頁1299-1312 |
分類號 | 319.5 |
關鍵詞 | Likelihood ratio ordering; Piecewise constant approximation; Quantization; Strongly unimodal; |
語 文 | 英文(English) |
英文摘要 | Optimal partitioning of a distribution arises in many contexts, including quantization in information theory, piecewise constant approximation of a function, stratified sampling, goodness-of-fit tests, principal points and clustering, and selective assembly in manufacturing. This article studies the behavior of optimal partitions, develops conditions under which the optimal partitioning of a distribution is unique, and establishes connections to hazard rate and likelihood ratio orderings of the distribution. An earlier proof which gives a slightly weaker condition than the sufficient condition in this article is shown to be incorrect by means of a counter-example. Optimal partitioning is compared with some heuristic partitioning strategies that are commonly used in applications and is shown to lead to substantial improvements in efficiency. |
本系統中英文摘要資訊取自各篇刊載內容。