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020 ▼a 9780438377356
035 ▼a (MiAaPQ)AAI10839504
035 ▼a (MiAaPQ)duke:14828
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0820 ▼a 310
1001 ▼a Marion, Joseph.
24510 ▼a Finite Sample Bounds and Path Selection for Sequential Monte Carlo.
260 ▼a [S.l.] : ▼b Duke University., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 118 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-02(E), Section: B.
500 ▼a Adviser: Scott C. Schmidler.
5021 ▼a Thesis (Ph.D.)--Duke University, 2018.
520 ▼a Sequential Monte Carlo (SMC) samplers have received attention as an alternative to Markov chain Monte Carlo for Bayesian inference problems due to their strong empirical performance on difficult multimodal problems, natural synergy with parallel
520 ▼a In this thesis, we provide conditions under which SMC provides a randomized approximation scheme, showing how to choose the number of of particles and Markov kernel transitions at each SMC step in order to ensure an accurate approximation with b
520 ▼a A key advantage of this approach is that the bounds provide insight into the selection of efficient sequences of SMC distributions. When the target distribution is spherical Gaussian or log-concave, we show that judicious selection of interpolat
520 ▼a Selecting efficient sequences of distributions is a problem that also arises in the estimation of normalizing constants using path sampling. In the final chapter of this thesis, we develop automatic methods for choosing sequences of distribution
590 ▼a School code: 0066.
650 4 ▼a Statistics.
690 ▼a 0463
71020 ▼a Duke University. ▼b Statistical Science.
7730 ▼t Dissertation Abstracts International ▼g 80-02B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0066
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999681 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자