Graduate Thesis Or Dissertation
 

Inference procedures for pairs of distributions with proportional failure rate functions

Público Deposited

Contenido Descargable

Descargar PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/5d86p328d

Descriptions

Attribute NameValues
Creator
Abstract
  • Some nonparametric maximum likelihood estimation procedures are developed for the class of pairs of distributions which have proportional failure rate functions. Special consideration is given to the case in which the shape of the failure rate functions are assumed to be either increasing or decreasing. Estimators of the proportionality constant, of the reliability functions, and of the failure rate functions are derived. A Monte Carlo study using Weibull distributions provides a basis for comparing the various estimators. An estimator of the proportionality constant, based on the distribution of the rank order statistics, is found to be "best" on the basis of minimum MSE. For a given estimate of the proportionality constant, observations from both samples can be combined to estimate either reliability function. Such combined-sample estimators are shown to have smaller MSE than the appropriate single-sample empirical estimator. Another Monte Carlo study, using Weibull distributions, provides a basis for comparing several statistics for testing the adequacy of the simple proportionality model. Some test statistics, based on a large sample procedure proposed by Professor David Cox, are found to have good small sample properties.
Resource Type
Fecha Disponible
Fecha de Emisión
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Declaración de derechos
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

Relaciones

Parents:

This work has no parents.

En Collection:

Elementos

Miniatura Título Fecha de subida Visibilidad Acciones
file details McRaeKennethB1972.pdf 2017-08-17 Público Descargar