A correction to and improvement of ‘Strong approximations of some biometric estimates under random censorship’

A new proof of strong consistency of ker

A new proof of strong consistency of kernel estimation of density function and mode under random censorship

✍ Ali Gannoun; Jérôme Saracco 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 99 KB

In this paper, we establish a new proof of uniform consistency of kernel estimator of density function when we observe a random right censored model. This proof uses an exponential inequality established by Wang (2000). As a consequence, we obtain the almost sure convergence of the kernel estimator