𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exact asymptotic L1-error of a kernel density estimator under censored data

✍ Scribed by Mohamed Lemdani; Elias Ould-Saı̈d


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
139 KB
Volume
60
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper, we give the exact asymptotic L 1 -error for the kernel estimator of the density function from censored data. We also give asymptotically optimal bandwidths. Strong approximation of the product-limit estimator by a Gaussian process is used to obtain the result.


📜 SIMILAR VOLUMES


On the asymptotic mean integrated square
✍ Jan Mielniczuk 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 357 KB

Hall and Hart (1990) proved that the mean integrated squared error (MISE) of a marginal kernel density estimator from an infinite moving average process X1, )(2 .... may be decomposed into the sum of MISE of the same kernel estimator for a random sample of the same size and a term proportional to th

On the asymptotic behaviour of the integ
✍ Carlos Tenreiro 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 131 KB

In this paper, we consider the integrated square error Jn = { f n (x) -f(x)} 2 d x; where f is the common density function of the independent and identically distributed random vectors X1; : : : ; Xn and f n is the kernel estimator with a data-dependent bandwidth. Using the approach introduced by Ha