Bounds for crude survival probabilities within competing risks framework and their statistical application

A. Yu Yakovlev; S. T. Rachev

doi:10.1016/0167-7152(88)90097-1

Bounds for crude survival probabilities within competing risks framework and their statistical application

A. Yu Yakovlev, S. T. Rachev

Mathematics and Statistics

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4 Scopus citations

Abstract

Bounds are given for crude survival probabilities when marginal distributions of the latent times T₁, ..., T_n and the distribution of the value T = min(T₁, ..., T_n) fixed. The application of these bounds to statistical analysis of the survival data resulting from certain kind of biological experiments is considered.

Original language	English
Pages (from-to)	389-394
Number of pages	6
Journal	Statistics and Probability Letters
Volume	6
Issue number	6
DOIs	https://doi.org/10.1016/0167-7152(88)90097-1
State	Published - May 1988

Keywords

combined injuries
competing risks
confidence bounds
crude survival probabilities
probabilistic metrics

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10.1016/0167-7152(88)90097-1

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title = "Bounds for crude survival probabilities within competing risks framework and their statistical application",

abstract = "Bounds are given for crude survival probabilities when marginal distributions of the latent times T1, ..., Tn and the distribution of the value T = min(T1, ..., Tn) fixed. The application of these bounds to statistical analysis of the survival data resulting from certain kind of biological experiments is considered.",

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AU - Yakovlev, A. Yu

AU - Rachev, S. T.

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N2 - Bounds are given for crude survival probabilities when marginal distributions of the latent times T1, ..., Tn and the distribution of the value T = min(T1, ..., Tn) fixed. The application of these bounds to statistical analysis of the survival data resulting from certain kind of biological experiments is considered.

AB - Bounds are given for crude survival probabilities when marginal distributions of the latent times T1, ..., Tn and the distribution of the value T = min(T1, ..., Tn) fixed. The application of these bounds to statistical analysis of the survival data resulting from certain kind of biological experiments is considered.

KW - combined injuries

KW - competing risks

KW - confidence bounds

KW - crude survival probabilities

KW - probabilistic metrics

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U2 - 10.1016/0167-7152(88)90097-1

DO - 10.1016/0167-7152(88)90097-1

M3 - Article

AN - SCOPUS:38249032433

SN - 0167-7152

VL - 6

SP - 389

EP - 394

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 6

ER -

Bounds for crude survival probabilities within competing risks framework and their statistical application

Abstract

Keywords

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