Cox proportional hazards model is a commonly used model in providing hazard ratio to compare survival times of two population groups. The exponentiated linear regression part of the model describes the effects of explanatory variables on hazard ratio. PROC PHREG is a SAS procedure that implements the Cox model and provides the hazard ratio estimate. The estimate is interpreted as the percent ch...

February 15, 2013 Type Package Title Functions for actuarial scientists Version 3.0 Date 2012-09-13 Author Saralees Nadarajah Maintainer Saralees Nadarajah Depends R (>= 2.15.0), reliaR, actuar, hypergeo Description Computes the probability density function, hazard rate function, integrated hazard rate function and the quantile function for 44 commonly used...

Hazard function estimation is an important part of survival analysis. Interest often centers on estimating the hazard function associated with a particular cause of death. We propose three nonparametric kernel estimators for the hazard function, all of which are appropriate when death times are subject to random censorship and censoring indicators can be missing at random. Specifically, we pres...

In survival analysis or reliability and maintenance studies, hazard-rate function plays an important role, since it describes the instantaneous failure probability given that the individual survived or the item has not failed up to that instance. Sudden changes in the hazard function may occur due to overhauls, treatment effects or maintenance activities. A problem of statistical interest is th...

Studies in cardiology often record the time to multiple disease events such as death, myocardial infarction, or hospitalization. Competing risks methods allow for the analysis of the time to the first observed event and the type of the first event. They are also relevant if the time to a specific event is of primary interest but competing events may preclude its occurrence or greatly alter the ...

The hazard function is a key component in the inferential process in survival analysis and relevant for describing the pattern of failures. However, it is rarely shown in research papers due to the difficulties in nonparametric estimation. We developed the bshazard package to facilitate the computation of a nonparametric estimate of the hazard function, with data-driven smoothing. The method ac...

the territory of serbia is vulnerable to various types of natural hazards and the risk is not equal across the entire territory; it varies depending on the type of hazard and the expected potential for damage. the first aim of this research was to determine the geographical distributions of the major types of natural hazards. seismic hazards, landslides, rock falls, floods, torrential floods...

This paper considers the non-parametric maximum likelihood estimator (MLE) for the joint distribution function of an interval-censored survival time and a continuous mark variable. We provide a new explicit formula for the MLE in this problem. We use this formula and the mark-specific cumulative hazard function of Huang & Louis (1998) to obtain the almost sure limit of the MLE. This result lead...