What question did this study set out to answer?

To develop and formalize the concept of partial likelihood, providing a rigorous mathematical foundation for estimating primary parameters without fully specifying nuisance baseline functions.

August 1, 1975Biometrika

Partial likelihood

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To develop and formalize the concept of partial likelihood, providing a rigorous mathematical foundation for estimating primary parameters without fully specifying nuisance baseline functions.
Constructed a general likelihood factorization separating information into conditional and marginal components to isolate parameters of interest.
Derived the asymptotic sampling distribution and properties of the partial score function and information matrix.
Demonstrated that maximum partial likelihood estimators maintain standard maximum likelihood properties, including consistency and asymptotic normality.
Established the theoretical validity of statistical inference in proportional hazards regression models with unspecified baseline hazards.

Implication

Methodological study introduces partial likelihood for statistical inference in survival data, enabling consistent estimation in the presence of nuisance parameters.

Abstract

Journal Article Partial likelihood Get access D. R. COX D. R. COX Department of Mathematics, Imperial CollegeLondon Search for other works by this author on: Oxford Academic Google Scholar Biometrika, Volume 62, Issue 2, August 1975, Pages 269–276, https://doi.org/10.1093/biomet/62.2.269 Published: 01 August 1975 Article history Received: 01 January 1975 Revision received: 01 January 1975 Published: 01 August 1975

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Cite This Study

D. R. Cox (1975) studied this question.

synapsesocial.com/papers/69d973f12a25b240b7a3c4ef https://doi.org/10.1093/biomet/62.2.269

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Implication

Methodological study introduces partial likelihood for statistical inference in survival data, enabling consistent estimation in the presence of nuisance parameters.

Partial likelihood

Key Points

Implication

Abstract

Discussion

Cite This Study

Partial likelihood

Key Points

Implication

Abstract

Discussion

Cite This Study

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