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Least empirical risk procedures in statistical inference

100%

Niemiro W.

Applicationes Mathematicae

1993-1995

tom 22

nr 1

55-67

We consider the empirical risk function $Q_n(α)={1\over n} \sum_{i=1}^n \cdot f(α,Z_i)$ (for iid $Z_i$'s) under the assumption that f(α,z) is convex with respect to α. Asymptotics of the minimum of $Q_n(α)$ is investigated. Tests for linear hypotheses are derived. Our results generalize some of those concerning LAD estimators and related tests.

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Some maximum multigraphs and edge/vertex distance colourings

86%

Skupień Z.

Discussiones Mathematicae Graph Theory

1995

tom 15

nr 1

89-106

Shannon-Vizing-type problems concerning the upper bound for a distance chromatic index of multigraphs G in terms of the maximum degree Δ(G) are studied. Conjectures generalizing those related to the strong chromatic index are presented. The chromatic d-index and chromatic d-number of paths, cycles, trees and some hypercubes are determined. Among hypercubes, however, the exact order of their growth is found.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Discussiones Mathematicae Graph Theory

1 Niemiro W.

1 Skupień Z.

1 1995

1 1993

Wyniki wyszukiwania

Least empirical risk procedures in statistical inference

Some maximum multigraphs and edge/vertex distance colourings