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Robust Estimation of Personal Income Distribution Models

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Robust Estimation of Personal Income Distribution Models

VICTORIA-FESER, Maria-Pia

Abstract

Statistical problems in modelling personal income distributions include estimation procedures, testing, and model choice. Typically, the parameters of a given model are estimated by classical procedures such as maximum likelihood and leastsquares estimators. Unfortunately, the classical methods are very sensitive to model deviations such as gross errors in the data, grouping effects or model misspecifications. These deviations can ruin the values of the estimators and inequality measures and can produce false information about the distribution of the personal income in a given country. In this paper we discuss the use of robust techniques for the estimation of income distributions. These methods behave as the classical procedures at the model but are less influenced by model deviations and can be applied to general estimation problems.

VICTORIA-FESER, Maria-Pia. Robust Estimation of Personal Income Distribution Models. London : 1993, 31 p.

Available at:

http://archive-ouverte.unige.ch/unige:6614

Disclaimer: layout of this document may differ from the published version.

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Copyright © STICERD 1993   

Distributional Analysis Research Programme  Discussion Paper 

 

Robust estimation of personal income  distribution models 

Maria‐Pia Victoria‐Feser 

October 1993 

 

LSE STICERD Research Paper No. DARP 04

This paper can be downloaded without charge from: 

http://sticerd.lse.ac.uk/dps/darp/darp4.pdf

 

 

 

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ROBUST ESTIMATION OF PERSONAL INCOME DISTRIBUTION MODELS

by

Maria-Pia Victoria-Feser

London School of Economics and Political Science

The Toyota Centre

Suntory and Toyota International Centres for Economics and Related Disciplines

London School of Economics and Political Science Discussion Paper Houghton Street

No.DARP/4 London WC2A 2AE

October 1993 Tel.: 020-7955 6678

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Abstract

Statistical problems in modelling personal income distributions include estimation procedures, testing, and model choice. Typically, the parameters of a given model are estimated by classical procedures such as maximum likelihood and least- squares estimators. Unfortunately, the classical methods are very sensitive to model deviations such as gross errors in the data, grouping effects or model misspecifications. These deviations can ruin the values of the estimators and inequality measures and can produce false information about the distribution of the personal income in a given country. In this paper we discuss the use of robust techniques for the estimation of income distributions. These methods behave as the classical procedures at the model but are less influenced by model deviations and can be applied to general estimation problems.

Keywords: Personal income distributions, inequality measures, parametric models, influence function, M-estimator.

JEL Nos.: C13, D63.

©

by Maria-Pia Victoria-Feser. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source.

Contact address: Mari-Pia Victoria-Feser, STICERD, London School of Economics and Political Science, Houghton Street, London WC2A 2AE.

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