Permanents, order statistics, outliers, and robustness.

Narayanaswamy Balakrishnan

Revista Matemática Complutense (2007)

  • Volume: 20, Issue: 1, page 7-107
  • ISSN: 1139-1138

Abstract

top
In this paper, we consider order statistics and outlier models, and focus primarily on multiple-outlier models and associated robustness issues. We first synthesise recent developments on order statistics arising from independent and non-identically distributed random variables based primarily on the theory of permanents. We then highlight various applications of these results in evaluating the robustness properties of several linear estimators when multiple outliers are possibly present in the sample.

How to cite

top

Balakrishnan, Narayanaswamy. "Permanents, order statistics, outliers, and robustness.." Revista Matemática Complutense 20.1 (2007): 7-107. <http://eudml.org/doc/41927>.

@article{Balakrishnan2007,
abstract = {In this paper, we consider order statistics and outlier models, and focus primarily on multiple-outlier models and associated robustness issues. We first synthesise recent developments on order statistics arising from independent and non-identically distributed random variables based primarily on the theory of permanents. We then highlight various applications of these results in evaluating the robustness properties of several linear estimators when multiple outliers are possibly present in the sample.},
author = {Balakrishnan, Narayanaswamy},
journal = {Revista Matemática Complutense},
keywords = {Inferencia estadística; Estimador puntual; Estimadores robustos; Estadísticos de orden; Datos atípicos; Análisis de datos censurados; order statistics; permanents; log-concavity; single-outlier model; multiple-outlier model; recurrence relations; robust estimators; sensitivity; bias; mean square error; location-outlier; scale-outlier; censoring; progressive type-II censoring; ranked set sampling},
language = {eng},
number = {1},
pages = {7-107},
title = {Permanents, order statistics, outliers, and robustness.},
url = {http://eudml.org/doc/41927},
volume = {20},
year = {2007},
}

TY - JOUR
AU - Balakrishnan, Narayanaswamy
TI - Permanents, order statistics, outliers, and robustness.
JO - Revista Matemática Complutense
PY - 2007
VL - 20
IS - 1
SP - 7
EP - 107
AB - In this paper, we consider order statistics and outlier models, and focus primarily on multiple-outlier models and associated robustness issues. We first synthesise recent developments on order statistics arising from independent and non-identically distributed random variables based primarily on the theory of permanents. We then highlight various applications of these results in evaluating the robustness properties of several linear estimators when multiple outliers are possibly present in the sample.
LA - eng
KW - Inferencia estadística; Estimador puntual; Estimadores robustos; Estadísticos de orden; Datos atípicos; Análisis de datos censurados; order statistics; permanents; log-concavity; single-outlier model; multiple-outlier model; recurrence relations; robust estimators; sensitivity; bias; mean square error; location-outlier; scale-outlier; censoring; progressive type-II censoring; ranked set sampling
UR - http://eudml.org/doc/41927
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.