Permanents, order statistics, outliers, and robustness.

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 -