Minimum quadratic distances methods for censored data

Abstract

Quadratic distances methods are developed under the randomly censored model.Asymptotic properties of quadratic estimators are given. Test statistics based on quadratic distances are proposed for testing the simple null hypothesis and composite hypothesis. They are shown to follow a chi– squared distribution under the null hypothesis.

Keywords:

• Censored model
• influence functions
• kaplan-meier estimator
• minimum quadratic distance estimator
• goodness of fit tests