The Resource Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means, Xing Xia

Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means, Xing Xia

Label
Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means
Title
Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means
Statement of responsibility
Xing Xia
Creator
Contributor
Author
Degree supervisor
Subject
Genre
Language
eng
Summary
In order to estimate the reliability of sequentially designed procedures under the Bayesian framework with conjugate priors, a sharp lower bound for the Bayes risk has been derived. Chapter 1 and 2 introduce the background and fundamental concepts and theorems of this study. Chapter 3 focuses on deriving second-order efficiency of Bayes risk for two independent components in the one-parameter exponential family which includes the most common distribution in application of reliability testing, Bernoulli distribution. Chapter 3 also uses Monte Carlo simulations with several proposed sequential designs to illustrate optimality of the second-order efficiency. Then Chapter 4 extends the result to k (k>2) independent components sequentially designed systems. The same Monte Carlo simulations were performed to assure that the second order lower bound is achieved
Cataloging source
UMK
http://library.link/vocab/creatorDate
1984-
http://library.link/vocab/creatorName
Xia, Xing
Degree
Ph.D.
Dissertation note
(Department of Mathematics and Statistics, School of Computing and Engineering).
Dissertation year
2019.
Granting institution
University of Missouri-Kansas City,
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/relatedWorkOrContributorName
  • Rekab, Kamel
  • Medhi, Deepankar
http://library.link/vocab/subjectName
  • Sequential processing (Computer science)
  • Bayesian statistical decision theory
Label
Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means, Xing Xia
Instantiates
Publication
Copyright
Note
  • "A dissertation in Mathematics and Telecommunication and Computer Networking."
  • Advisors: Kamel Rekab and Deep Medhi,
  • Vita
Antecedent source
not applicable
Bibliography note
Includes bibliographical references (pages 60-62)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Conceptual framework -- Second-order efficiency for estimating product of 2 components in exponential family -- Second-order efficiency for estimating product of K components -- Conclusion
Control code
1135325087
Dimensions
unknown
Extent
1 online resource (63 pages)
File format
one file format
Form of item
online
Level of compression
mixed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Quality assurance targets
not applicable
Specific material designation
remote
System control number
(OCoLC)1135325087
System details
  • The full text of the dissertation is available as an Adobe Acrobat .pdf file; Adobe Acrobat Reader required to view the file
  • Mode of access: World Wide Web
Label
Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means, Xing Xia
Publication
Copyright
Note
  • "A dissertation in Mathematics and Telecommunication and Computer Networking."
  • Advisors: Kamel Rekab and Deep Medhi,
  • Vita
Antecedent source
not applicable
Bibliography note
Includes bibliographical references (pages 60-62)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Conceptual framework -- Second-order efficiency for estimating product of 2 components in exponential family -- Second-order efficiency for estimating product of K components -- Conclusion
Control code
1135325087
Dimensions
unknown
Extent
1 online resource (63 pages)
File format
one file format
Form of item
online
Level of compression
mixed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Quality assurance targets
not applicable
Specific material designation
remote
System control number
(OCoLC)1135325087
System details
  • The full text of the dissertation is available as an Adobe Acrobat .pdf file; Adobe Acrobat Reader required to view the file
  • Mode of access: World Wide Web

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