H. P. Lopuhaä

activity

20062024

most citedCentral limit theorem and influence function for the MCD estimators at general multivariate distributions

45 citations · 115 across the 10 of their papers we have counts for

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Showing 2006Show all

2 papers · 1 filter

math.ST2006★ 32 cited

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★ 3 cited

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

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

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