The analysis of censored failure times is considered. It is assumed that on each individual arc available values of one or more explanatory variables. The hazard function (age-specific failure rate) is taken to be a function of the explanatory variables and unknown regression coefficients multiplied by an arbitrary and unknown function of time. A conditional likelihood is obtained, leading to inferences about the unknown regression coefficients. Some generalizations are outlined.

https://rss.onlinelibrary.wiley.com/doi/pdf/10.1111/j.2517-6161.1972.tb00899.x

Regression Models and Life-Tables

This paper proposes a very tractable approach to modeling changes in regime. The parameters of an autoregression are viewed as the outcome of a discrete-state Markov process. For example, the mean growth rate of a nonstationary series may be subject to occasional, discrete shifts. The econometrician is presumed not to observe these shifts directly, but instead must draw probabilistic inference about whether and when they may have occurred based on the observed behavior of the series. The paper presents an algorithm for drawing such probabilistic inference in the form of a nonlinear iterative filter

A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle.

Economic duration data and hazard functions

Analysis of time series subject to changes in regime

The use of regression models for making covariance adjustments in the comparsion of survival curves is illustrated by application to a clinical trial of maintenance therapy for childhood leukemia. Three models are considered: the log linear exponential (Glasser [1967]); Cox's [1972] nonparametric generalization of this; and the linear exponential (Feigl and Zelen [1965]). Age and white blood count at diagnosis are both shown to be important for prognosis; adjustment for the latter variable has marked effects on the treatment comparisons. Both advantages and disadvantages with the regression approach are noted.

Covariance analysis of censored survival data.

Introduction to stochastic processes in biostatistics.

Introduction to Stochastic Processes in Biostatistics

The statistical theory of the ordinary life table is presented in this book, with its construction explained. Topics cover measures of mortality and adjustment of rates, and other areas include survival and stages of disease, reproduction, married life, antenatal life table and ecological studies.

The life table and its applications

As this an introduction to stochastic processes and their applications, it ends stirring innate one of the favored books an introduction to stochastic processes and their applications collections that we have. This is why you remain in the best website to see the amazing book to have. Users can easily upload custom books and complete e-book production online through automatically generating APK eBooks. Rich the e-books service of library can be easy access online with one touch.

Chin Long Chiang

Papers

Introduction to stochastic processes in biostatistics.

Introduction to Stochastic Processes in Biostatistics

The life table and its applications

Introduction to Stochastic Processes and Their Applications

An introduction to stochastic processes and their applications