Weighted least-squares estimation for Aalen's additive risk model. Technical report
Cox's (1972) proportional hazards model has so far been the most popular model for the regression of analysis censored survival data. However, the additive risk model of Aalen (1980) can provide a useful and biologically more plausible alternative. Aalen's model stipulates that the conditional hazard function for a subject, whose covariates are Y = (Y{sub 1},...,Y{sub p})', has the form h(t/Y) = Y' {alpha} (t), where {alpha} = ({alpha}{sub 1},...,{alpha}{sub p})' is an unknown vector of hazard functions. This paper discusses inference for alpha based on a weighted least squares (WLS) estimator of the vector of cumulative hazard functions. The asymptotic distribution of the WLS estimator is derived and used to obtain confidence intervals and bands for the cumulative hazard functions. Both a grouped data and a continuous data version of the estimator are examined. An extensive simulation study is carried out. The method is applied to grouped data on the incidence of cancer mortality among Japanese atomic bomb survivors.
- Research Organization:
- Stanford Univ., CA (United States). Dept. of Statistics
- OSTI ID:
- 5318889
- Report Number(s):
- AD-A-235250/8/XAB; TR--441; CNN: N00014-89-J-1627
- Country of Publication:
- United States
- Language:
- English
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63 RADIATION, THERMAL, AND OTHER ENVIRON. POLLUTANT EFFECTS ON LIVING ORGS. AND BIOL. MAT.
A-BOMB SURVIVORS
ASIA
DEVELOPED COUNTRIES
DISEASES
EPIDEMIOLOGY
EXPLOSIONS
FUNCTIONS
HAZARDS
HUMAN POPULATIONS
JAPAN
MATHEMATICS
MONTE CARLO METHOD
MORTALITY
MULTIVARIATE ANALYSIS
NEOPLASMS
NUCLEAR EXPLOSIONS
NUCLEAR WEAPONS
POPULATIONS
RADIOINDUCTION
RISK ASSESSMENT
SIMULATION
STATISTICS
WEAPONS
WEIGHTING FUNCTIONS