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Robust Estimation and Prediction in the Presence of Influential Units in Surveys

In surveys, one may face the problem of influential units at the estimation stage.
A unit is said to be influential if its inclusion or exclusion from the sample has a
drastic impact on the estimates. This is a common situation in business surveys
as the distribution of economic variables tends to be highly skewed. We study and
examine some commonly used estimators and predictors of a population total and
propose a robust estimator and predictor based on an adaptive tuning constant. The
proposed tuning constant is based on the concept of conditional bias of a unit, which
is a measure of influence. We present the results of a simulation study that compares
the performance of several estimators and predictors in terms of bias and efficiency.

Identiferoai:union.ndltd.org:uottawa.ca/oai:ruor.uottawa.ca:10393/45218
Date02 August 2023
CreatorsTeng, Yizhen
ContributorsHaziza, David
PublisherUniversité d'Ottawa / University of Ottawa
Source SetsUniversité d’Ottawa
LanguageEnglish
Detected LanguageEnglish
TypeThesis
Formatapplication/pdf
RightsCC0 1.0 Universal, http://creativecommons.org/publicdomain/zero/1.0/

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