V. Kulikov

most citedThe limit distribution of the

L_{\infty}

-error of Grenander-type estimators

31 citations · 31 across the 1 of their papers we have counts for

collaborators

3 papers

math.ST2011★ 31 cited

The limit distribution of the $L_{\infty}$ -error of Grenander-type estimators

Cécile Durot, Vladimir N. Kulikov, Hendrik P. Lopuhaä

Let $f$ be a nonincreasing function defined on $[0, 1]$ . Under standard regularity conditions, we derive the asymptotic distribution of the supremum norm of the difference between $…

math.ST2006

The behavior of the NPMLE of a decreasing density near the boundaries of the support

Vladimir N. Kulikov, Hendrik P. Lopuhaä

We investigate the behavior of the nonparametric maximum likelihood estimator $f^_{n}$ for a decreasing density $f$ near the boundaries of the support of $f$ . We establish the l…

math.ST2006

Asymptotic normality of the $L_{k}$ -error of the Grenander estimator

Vladimir N. Kulikov, Hendrik P. Lopuhaä

We investigate the limit behavior of the $L_{k}$ -distance between a decreasing density $f$ and its nonparametric maximum likelihood estimator $f^_{n}$ for $k \geq 1$ . Due to the inc…

The limit distribution of the L∞​-error of Grenander-type estimators

The behavior of the NPMLE of a decreasing density near the boundaries of the support

Asymptotic normality of the Lk​-error of the Grenander estimator

The limit distribution of the $L_{\infty}$ -error of Grenander-type estimators

Asymptotic normality of the $L_{k}$ -error of the Grenander estimator