東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Methods in Monte Carlo Computation, ...

Wang, Lazhi.

Linked to FindBook

Google Book

Amazon

博客來

Methods in Monte Carlo Computation, Astrophysical Data Analysis and Hypothesis Testing with Multiply-Imputed Data.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Methods in Monte Carlo Computation, Astrophysical Data Analysis and Hypothesis Testing with Multiply-Imputed Data./
Author:	Wang, Lazhi.
Description:	157 p.
Notes:	Source: Dissertation Abstracts International, Volume: 77-04(E), Section: B.
Contained By:	Dissertation Abstracts International77-04B(E).
Subject:	Statistics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3739118
ISBN:	9781339296562

Methods in Monte Carlo Computation, Astrophysical Data Analysis and Hypothesis Testing with Multiply-Imputed Data.
Wang, Lazhi.

Methods in Monte Carlo Computation, Astrophysical Data Analysis and Hypothesis Testing with Multiply-Imputed Data. - 157 p.

Source: Dissertation Abstracts International, Volume: 77-04(E), Section: B.

Thesis (Ph.D.)--Harvard University, 2015.

We present three topics in this thesis: the next generation warp bridge sampling, Bayesian methods for modeling source intensities, and large-sample hypothesis testing procedures in multiple imputation.

ISBN: 9781339296562Subjects--Topical Terms:

517247
Statistics.

Methods in Monte Carlo Computation, Astrophysical Data Analysis and Hypothesis Testing with Multiply-Imputed Data.
LDR:03232nmm a2200313 4500 001 2076436
005 20161028121128.5
008 170521s2015 ||||||||||||||||| ||eng d
020 $a 9781339296562
035 $a (MiAaPQ)AAI3739118
035 $a AAI3739118
040 $a MiAaPQ $c MiAaPQ
100 1 $a Wang, Lazhi. $3 3191893
245 1 0 $a Methods in Monte Carlo Computation, Astrophysical Data Analysis and Hypothesis Testing with Multiply-Imputed Data.
300 $a 157 p.
500 $a Source: Dissertation Abstracts International, Volume: 77-04(E), Section: B.
500 $a Adviser: Xiao-Li Meng.
502 $a Thesis (Ph.D.)--Harvard University, 2015.
520 $a We present three topics in this thesis: the next generation warp bridge sampling, Bayesian methods for modeling source intensities, and large-sample hypothesis testing procedures in multiple imputation.
520 $a Bridge sampling is an effective Monte Carlo method to estimate the ratio of the normalizing constants of two densities. The Monte Carlo errors of the estimator are directly controlled by the overlap between the densities. In Chapter 1, we generalize the warp transformations in Meng and Schilling (2002), and introduce a class of stochastic transformation, called warp-U transformation, which aims at increasing the overlap of the densities of the transformed data without altering the normalizing constants. Warp-U transformation is determined by a Gaussian mixture distribution, which has reasonable amount of overlap with the density of unknown normalizing constant. We show warp-U transformation reduces the f-divergence of two densities, thus bridge sampling with warp-U transformed data has better statistical efficiency than that based on the original data. We then propose a computationally efficient method to find a Gaussian mixture distribution and investigate the performance of the corresponding warp-U bridge sampling. Finally, theoretical and simulation results are provided to shed light on how to choose the tuning parameters in the algorithm.
520 $a In Chapter 2, we propose a Bayesian hierarchical model to study the distribution of the X-ray intensities of stellar sources. One novelty of the model is its use of a zero-inflated gamma distribution for the source intensities to reflect the possibility of "dark" sources with practically zero luminosity. To quantify the evidence for "dark" sources, we develop a Bayesian hypothesis testing procedure based on the posterior predictive p-value. Statistical properties of the model and the test are investigated via simulation. Finally, we apply our method to a real dataset from Chandra.
520 $a Chapter 3 presents large-sample hypothesis testing procedures in multiple imputation, a common practice to handle missing data. Several procedures are classified, discussed, and compared in details. We also provide an improvement of a Wald-type procedure and investigate a practical issue of the likelihood-ratio based procedure.
590 $a School code: 0084.
650 4 $a Statistics. $3 517247
650 4 $a Astronomy. $3 517668
690 $a 0463
690 $a 0606
710 2 $a Harvard University. $b Statistics. $3 2093214
773 0 $t Dissertation Abstracts International $g 77-04B(E).
790 $a 0084
791 $a Ph.D.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3739118