Estimation of an arbitrary mixture of uniform models
type: Item
instance of: scholarly article
title: Estimation of an arbitrary mixture of uniform models
zbMATH Open document ID: 0616.62032
published in: Metron
publication date: 1986-01-01T00:00:00Z
review text: Let \(0=\theta_ 0<\theta_ 1<...<\theta_ k=1\) and let \(g_ i\) be the uniform density on \((\theta_ i,\theta_{i-1})\). Let \(X_ 1,...,X_ n\) be a sample from the mixture density \(f=\sum^{k}_{i=1}p_ if_ i\), where \(p_ i\geq 0\), \(\sum^{k}_{i=1}p_ i=1\). Equations for moment estimators are given (i) for the \(p_ i\) when the \(\theta_ i\) are known; (ii) for the \(\theta_ i\) when the \(p_ i\) are known; and (iii) for the \(p_ i\) and the \(\theta_ i\) when neither are known. Solutions are only presented in special cases.
Mathematics Subject Classification ID: 62F10
zbMATH DE Number: 3998979
zbMATH Keywords: finite mixture
zbMATH Keywords: consistency
zbMATH Keywords: uniform density
zbMATH Keywords: Equations for moment estimators
author: Arjun K. Gupta
author: Vidya S. Taneja
author: Konanur. G. Janardan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3998979