Accession Number:

ADA191085

Title:

Asymptotic Theory for Weighted Least Squares Estimators in Aalen's Additive Risk Model.

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

• McKeague, Ian W.

Report Date:

1987-11-01

Pagination or Media Count:

16.0

Abstract:

Let htZ sub i be the conditional hazard function for the survival time of an individual sub i given the p-dimensional covariate process Z sub it. This document inference for Aalens additive risk model htZ sub iZ sub it alpha t, where alpha is a p-vector of unknown hazard functions. The theory of counting processes is used to obtain weak convergence results for weighted least squares estimators of the hazard functions and the cumulative hazard functions based on continuous data. Results for weighted least squares estimators based on grouped data are also described. Keywords Regression models, Biostatistics.

Descriptors:

• *LEAST SQUARES METHOD
• *ESTIMATES
• BIOSTATISTICS
• HAZARDS
• MATHEMATICAL MODELS
• REGRESSION ANALYSIS
• COUNTING METHODS
• THEORY
• ASYMPTOTIC SERIES
• SURVIVAL(GENERAL)
• TIME
• WEAK CONVERGENCE

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE