It is assumed for the Cox’s proportional hazards model that the survival times of subjects are independent. This assumption might be violated in some situations, in which the collected data are correlated. The well-known Cox model is not valid in this situation because independence assumption among individuals is violated. For this purpose Cox’s proportional hazard model is extent to the analys...

Persson, I. 2002. Essays on the Assumption of Proportional Hazards in Cox Regression. Acta Universitatis Upsaliensis. Comprehensive Summaries of Uppsala Dissertations from the Faculty of Social Sciences 110. 36 pp. Uppsala. ISBN 91-554-5208-6. This thesis consists of four papers about the assumption of proportional hazards for the Cox model in survival analysis. The first paper compares the haz...

We discuss the use of local likelihood methods to fit proportional hazards regression models to right and interval censored data. The assumed model allows for an arbitrary, smoothed baseline hazard on which a vector of covariates operates in a proportional manner, and thus produces an interpretable baseline hazard function along with estimates of global covariate effects. For estimation, we ext...

his manuscript studies the stochastic comparisons of second-order statistics from dependent or independent and heterogeneous modified proportional hazard rate observations. Some sufficient conditions on usual order observations are established under Archimedean copula. also provided in arising two sets multiple-outlier numerical examples given to illustrate theoretical findings.

This paper develops a class of density regression models based on proportional hazards family, namely, Gamma transformation proportional hazard (Gt-PH) model . Exact inference for the regression parameters and hazard ratio is derived. These estimators enjoy some good properties such as unbiased estimation, which may not be shared by other inference methods such as maximum likelihood estimate (M...