On the Nonparametric Mean Residual Life Estimator in Length-biased Sampling

Abstract

In this article, we discuss nonparametric estimation of a mean residual life function from length-biased data. Precisely, we prove strong uniform consistency and weak converge of the nonparametric mean residual life estimator in length-biased setting.

Keywords:

• Length-biased
• Mean residual life
• Strong uniform consistency
• Weak convergence

Mathematics Subject Classification:

• 62G05; 62G20