Estimators of semiparametric truncated and censored regression models
2005 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
Abstract [en]
This thesis contributes in several ways to the existing knowledge on estimation of truncated, censored, and left truncated right censored (LTRC) regression models. Three new semiparametric estimators are proposed, allowing for asymmetric error distributions. A bootstrap method for estimation of the covariance matrix of the quadratic mode estimator (QME) is proposed and studied. In addition, finite sample properties of estimators for truncated, censored, and LTRC data are studied within simulation studies and applications with real data.
The first paper consists of a simulation study of the QME and other estimators of truncated regression models. The paper contributes with results suggesting the bootstrap technique being potentially useful for estimation of the QME covariance matrix.
In the second paper estimators of truncated and censored semiparametric regression models are proposed. These estimators are generalizations of the QME and the winsorized mean estimator (WME) by allowing asymmetric ``trimming'' of observations. Consistency and asymptotic normality of the estimators are shown.
By combining the two moment restrictions used to derive the estimators in the second paper, a consistent estimator of LTRC regression models is proposed in the third paper.
The fourth paper contains an application where LTRC interpurchase intervals of cars are analysed. Results regarding the interpurchase behaviour of consumers are provided, as are results on estimator properties.
sted, utgiver, år, opplag, sider
Umeå: Umeå universitet , 2005. , s. 25
Serie
Statistical studies, ISSN 1100-8989 ; 34
Emneord [en]
Statistics, LTRC, consistency, asymtotic normality, bootstrap, interpurchase intervals
Emneord [sv]
Statistik
HSV kategori
Forskningsprogram
statistik
Identifikatorer
URN: urn:nbn:se:umu:diva-540ISBN: 91-7305-891-2 (tryckt)OAI: oai:DiVA.org:umu-540DiVA, id: diva2:143771
Utgiver:
Statistik, 90187, Umeå
Disputas
2005-06-03, N450, Naturvetarhuset, Umeå Universitet, Umeå, 10:15 (engelsk)
Opponent
Veileder
2005-05-162005-05-162018-06-09bibliografisk kontrollert
Delarbeid