A comparison of efficiency and robustness for lower tolerance limit procedures Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/m900nz15x

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • Several lower tolerance limit procedures are compared with regard to efficiency and robustness. The procedures include the nonparametric based on a single order statistic and the maximum likelihood estimates for complete and censored samples from parametric families of distributions. Right-censoring is considered as an approach for improving the robustness of the parametric procedures under departure from the assumed form. The Pitman asymptotic relative efficiencies of the nonparametric, complete sample and censored sample parametric procedures are compared for the 2-parameter lognormal distribution and the 3-parameter generalized gamma distributions, including the special cases of negative exponential, Weibull and gamma distributions. Approximate coverage probabilities (A.C.P.'s), based on large sample theory, are evaluated for the parametric procedures under the assumption of a Weibull (lognormal) distribution when instead the true distribution is lognormal (Weibull). The discrepancy between the A.C.P.'s and the corresponding nominal confidence level is then used as the measure of the robustness of the parametric procedures. A Monte Carlo study using samples of size n=60 is conducted to investigate the adequacy of the large sample approximation.
Resource Type
Date Available
Date Copyright
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
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
Additional Information
  • description.provenance : Made available in DSpace on 2013-09-06T21:47:22Z (GMT). No. of bitstreams: 1 LiChangChung1980.pdf: 561031 bytes, checksum: a5ef6f3f93fe99e0118ae6eb676ccc63 (MD5) Previous issue date: 1979-08-30
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-09-06T21:47:22Z (GMT) No. of bitstreams: 1 LiChangChung1980.pdf: 561031 bytes, checksum: a5ef6f3f93fe99e0118ae6eb676ccc63 (MD5)
  • description.provenance : Submitted by Kevin Martin (martikev@onid.orst.edu) on 2013-08-30T17:48:45Z No. of bitstreams: 1 LiChangChung1980.pdf: 561031 bytes, checksum: a5ef6f3f93fe99e0118ae6eb676ccc63 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-08-30T18:40:29Z (GMT) No. of bitstreams: 1 LiChangChung1980.pdf: 561031 bytes, checksum: a5ef6f3f93fe99e0118ae6eb676ccc63 (MD5)

Relationships

In Administrative Set:
Last modified: 08/23/2017

Downloadable Content

Download PDF
Citations:

EndNote | Zotero | Mendeley

Items