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Misspecified Proportional Hazard Models
Biometrika, 1986Let \((N_ i(t)\), \(t\geq 0\), \(i=1,...,n)\) be a counting process in which \(N_ i(t)\) records the number of failures in [0,t] for i-th item, and let \(Y_ i(t)\lambda_ 0(t) \exp (\beta Z_ i)\) \((i=1,...,n)\) be a random intensity process (for \(N_ i)\).
Struthers, C. A., Kalbfleisch, J. D.
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Proportional Hazards in Information Security
Risk Analysis, 2005Nonparametric methods can be used to analyze failure times and estimate probability distributions for failures of systems due to successful attacks on confidentiality, integrity, and availability in information security. However, such methods do not take full advantage of supplemental information regarding the configurations of systems in an ...
Julie J C H, Ryan, Daniel J, Ryan
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The Identifiability of the Proportional Hazard Model
The Review of Economic Studies, 1984Summary: This paper presents new identifiability conditions for the Cox proportional hazard model [see \textit{D. R. Cox}, J. R. Stat. Soc., Ser. B 34, 187-220 (1972; Zbl 0243.62041)] for duration data when unobserved person specific variables are present. We compare our conditions with those presented by \textit{C. Elbers} and \textit{G. Ridder} [Rev.
Heckman, J., Singer, B.
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2008
The estimation of duration models has been the subject of significant research in econometrics since the late 1970s. Cox (1972) proposed the use of proportional hazard models in biostatistics and they were soon adopted for use in economics. Since Lancaster (1979), it has been recognized among economists that it is important to account for unobserved ...
Jerry A. Hausman, Tiemen M. Woutersen
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The estimation of duration models has been the subject of significant research in econometrics since the late 1970s. Cox (1972) proposed the use of proportional hazard models in biostatistics and they were soon adopted for use in economics. Since Lancaster (1979), it has been recognized among economists that it is important to account for unobserved ...
Jerry A. Hausman, Tiemen M. Woutersen
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The cost of checking proportional hazards
Statistics in Medicine, 2008AbstractConfidence intervals (CIs) and the reported predictive ability of statistical models may be misleading if one ignores uncertainty in the model selection procedure. When analyzing time‐to‐event data using Cox regression, one typically checks the proportional hazards (PH) assumption and subsequently alters the model to address any violations ...
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Nonidentified Responses in a Proportional Hazards Setting
Biometrics, 1994Nonidentified response (NR), an important form of nonindependent censoring, is modelled in a proportional hazards setting. Methods to test for existence of and identify NR censored observations are developed. Incorporation of NR censoring information into appropriate algorithms can improve parameter and underlying baseline hazard estimation ...
Hoover, Donald R., He, Yanhua
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The Proportional Hazards Model
1988In this chapter and Chapter 7, we will consider models of the length of time until recidivism that contain individual characteristics as explanatory variables. The models of Chapter 7 will be parametric models in the sense that they will assume a particular distribution for the survival times; for example, we will estimate a model based on the ...
Peter Schmidt, Ann Dryden Witte
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On Proportional Hazard Functions
Technometrics, 1970The purpose of this note is to establish and make precise the following proposition: The minimum of independent random variables X and Y is independent of the event X x) if P(X = x ...
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2021
We consider several models that describe survival in the presence of observable covariates, these covariates measuring subject heterogeneity. The most general situation can be described by a model with a parameter of high, possibly unbounded, dimension.
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We consider several models that describe survival in the presence of observable covariates, these covariates measuring subject heterogeneity. The most general situation can be described by a model with a parameter of high, possibly unbounded, dimension.
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Masking Unmasked in the Proportional Hazards Model
Biometrics, 2000Summary.Influence measures based on the pairwise deletion approach and the differentiation approach are developed for unmasking observations masked by other observations in the proportional hazards model. These influential observations might have substantial impact on statistical inference and might provide important information for model adequacy. One
Wei, Wen Hsiang, Kosorok, Michael R.
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