Publication

An outlier nomination method based on the multihalver

Stephan Morgenthaler
2004
Journal Articles

Abstract

This paper presents a method for detecting and nominating outliers based on the multihalver, or the delete-half jackknife. Since considering all possible half-samples is unpractical and unfeasable even for a moderate sample size, we present an algorithm for choosing a good set of half-samples. We also present an outlier detection method based on this algorithm. Simulations are given to show the effectiveness of our method and an example is also presented. © 2003 Elsevier B.V. All rights reserved.

Official source

https://infoscience.epfl.ch/entities/publication/c568f5d6-e4f6-40dd-868e-143d7c905385

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Stephan Morgenthaler
2004
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/c568f5d6-e4f6-40dd-868e-143d7c905385

About this result

Related concepts (20)

Outlier

In statistics, an outlier is a data point that differs significantly from other observations. An outlier may be due to a variability in the measurement, an indication of novel data, or it may be the result of experimental error; the latter are sometimes excluded from the data set. An outlier can be an indication of exciting possibility, but can also cause serious problems in statistical analyses. Outliers can occur by chance in any distribution, but they can indicate novel behaviour or structures in the data-set, measurement error, or that the population has a heavy-tailed distribution.

Euler method

In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method. The Euler method is named after Leonhard Euler, who first proposed it in his book Institutionum calculi integralis (published 1768–1870).

Iterative method

In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones. A specific implementation with termination criteria for a given iterative method like gradient descent, hill climbing, Newton's method, or quasi-Newton methods like BFGS, is an algorithm of the iterative method.

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An outlier nomination method based on the multihalver

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