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
Resource Information
The item Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means, Xing Xia represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-Kansas City Libraries.This item is available to borrow from all library branches.
Resource Information
The item Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means, Xing Xia represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-Kansas City Libraries.
This item is available to borrow from all library branches.
- 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
- Language
- eng
- Extent
- 1 online resource (63 pages)
- Note
-
- "A dissertation in Mathematics and Telecommunication and Computer Networking."
- Advisors: Kamel Rekab and Deep Medhi,
- Vita
- 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
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.umkc.edu/portal/Efficient-sequential-designs-with-asymptotic/I4mn8pcoVv0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.umkc.edu/portal/Efficient-sequential-designs-with-asymptotic/I4mn8pcoVv0/">Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means, Xing Xia</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.umkc.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.umkc.edu/">University of Missouri-Kansas City Libraries</a></span></span></span></span></div>
