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Bayesian Wavelet Based Analysis of Longitudinally Observed Skewed Heteroscedastic Responses

Title: A Bayesian Wavelet Based Analysis of Longitudinally Observed Skewed Heteroscedastic Responses.
Name(s): Baker, Danisha S. (Danisha Sharice), author
Chicken, Eric, 1963-, professor co-directing dissertation
Sinha, Debajyoti, professor co-directing dissertation
Harper, Kristine, university representative
Pati, Debdeep, committee member
Florida State University, degree granting institution
College of Arts and Sciences, degree granting college
Department of Statistics, degree granting department
Type of Resource: text
Genre: Text
Doctoral Thesis
Issuance: monographic
Date Issued: 2017
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource (79 pages)
Language(s): English
Abstract/Description: Unlike many of the current statistical models focusing on highly skewed longitudinal data, we present a novel model accommodating a skewed error distribution, partial linear median regression function, nonparametric wavelet expansion, and serial observations on the same unit. Parameters are estimated via a semiparametric Bayesian procedure using an appropriate Dirichlet process mixture prior for the skewed error distribution. We use a hierarchical mixture model as the prior for the wavelet coefficients. For the "vanishing" coefficients, the model includes a level dependent prior probability mass at zero. This practice implements wavelet coefficient thresholding as a Bayesian Rule. Practical advantages of our method are illustrated through a simulation study and via analysis of a cardiotoxicity study of children of HIV infected mother.
Identifier: FSU_SUMMER2017_Baker_fsu_0071E_14036 (IID)
Submitted Note: A Dissertation submitted to the Department of Statistics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Summer Semester 2017.
Date of Defense: May 23, 2017.
Keywords: Bayesian, Longitudinal, Semiparametric, Wavelet
Bibliography Note: Includes bibliographical references.
Advisory Committee: Eric Chicken, Professor Co-Directing Dissertation; Debajyoti Sinha, Professor Co-Directing Dissertation; Kristine Harper, University Representative; Debdeep Pati, Committee Member.
Subject(s): Biometry
Persistent Link to This Record:
Owner Institution: FSU

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Baker, D. S. (D. S. ). (2017). A Bayesian Wavelet Based Analysis of Longitudinally Observed Skewed Heteroscedastic Responses. Retrieved from