Graduate Thesis Or Dissertation
 

Nonparametric estimation of distributions using orthogonal expansions

Public Deposited

Contenu téléchargeable

Télécharger le fichier PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/k0698b00w

Descriptions

Attribute NameValues
Creator
Abstract
  • Methods of approximation and estimation of the density and the cumulative distribution function of a distribution over a finite interval are investigated. Goodness of the methods is measured pointwise and in terms of mean integrated squared error (MISE). If the density obeys certain regulatory conditions, i. e. , continuous, positive, piecewise smooth, then the canonical exponential family of distributions serve very satisfactorily as an approximation to the true distribution. The theory has wide application to real world problems since the assumptions made are very general. The class of matrix estimators of the density is introduced and is shown to be superior to the usual orthogonal series estimator when comparison is in terms of MISE. Large sample equivalence of the two methods is established.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Déclaration de droits
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces

Des relations

Parents:

This work has no parents.

Dans Collection:

Articles

La vignette Titre Date de téléchargement Visibilité actes
file details CrainBradfordR1972.pdf 2017-08-07 Public Télécharger