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Generalized Laguerre Series for Empirical Bayes Estimation: Calculations and Proofs

Connell, Matthew Aaron
http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1619179966891297

Abstract Details

2021, Bachelor of Science (BS), Ohio University, Mathematics.
I demonstrate methods for data estimation by Laguerre polynomials using Empirical Bayesian (EB) statistics. I model a limited set of data distributed from the exponential family of distributions using EB methods, finding Laguerre polynomials of finite length that fits this data and can be used to estimate new data points. I also demonstrate how to find the best parameter to use in the generalized Laguerre polynomial, as well as an upper bound on the error of the estimator. This thesis was written alongside a manuscript submitted to the Journal of Nonparametric Statistics, and includes more detailed proofs from this research.
Rida Benhaddou (Advisor)
31 p.
Mathematics; Statistics
Bayesian statistics; Empirical Bayes; Nonparametric statistics; Mathematics

Recommended Citations

Citations

  • Connell, M. A. (2021). Generalized Laguerre Series for Empirical Bayes Estimation: Calculations and Proofs [Undergraduate thesis, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1619179966891297

    APA Style (7th edition)

  • Connell, Matthew. Generalized Laguerre Series for Empirical Bayes Estimation: Calculations and Proofs. 2021. Ohio University, Undergraduate thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1619179966891297.

    MLA Style (8th edition)

  • Connell, Matthew. "Generalized Laguerre Series for Empirical Bayes Estimation: Calculations and Proofs." Undergraduate thesis, Ohio University, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1619179966891297

    Chicago Manual of Style (17th edition)

ouhonors1619179966891297
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