INTERRELATIONSHIPS BETWEEN lP‐ISOTROPIC DENSITIES AND lP‐ISOTROPIC SURVIVAL FUNCTIONS, AND DE FINETTI REPRESENTATIONS OF SCHUR‐CONCAVE SURVIVAL FUNCTIONS

Yu Hayakawa*

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

Interrelationships between lP‐isotropic densities and lP‐isotropic survival functions are studied. We obtain representations for densities whose survival functions are lP‐isotropic and for survival functions whose densities are lP‐isotiopic. The former are mixtures of products of Weibull densities and the latter are mixtures of products of Gamma survival functions. Based on a theorem proved by Cooke, we show that de Finetti representations for Schur‐concave survival functions that have the same level sets as a product measure can be represented as mixtures of products of increasing failure rate survival functions.

本文言語English
ページ(範囲)327-332
ページ数6
ジャーナルAustralian Journal of Statistics
35
3
DOI
出版ステータスPublished - 1993
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率

フィンガープリント

「INTERRELATIONSHIPS BETWEEN l<sub>P</sub>‐ISOTROPIC DENSITIES AND l<sub>P</sub>‐ISOTROPIC SURVIVAL FUNCTIONS, AND DE FINETTI REPRESENTATIONS OF SCHUR‐CONCAVE SURVIVAL FUNCTIONS」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

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