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https://ah.lib.nccu.edu.tw/handle/140.119/54301| 題名: | R軟體套件"rBeta2009"之評估及應用 Evaluation and Applications of the Package "rBeta2009" |
作者: | 劉世璿 Liu, Shih Hsuan |
貢獻者: | 洪英超 Hung, Ying Chao 劉世璿 Liu, Shih Hsuan |
關鍵詞: | 狄氏分配 貝他分配 有效性 精確性 隨機性 beta variates Dirichlet random vectors efficiency accuracy randomness |
日期: | 2011 | 上傳時間: | 30-Oct-2012 | 摘要: | 本論文主要是介紹並評估一個R的軟體套件叫做"rBeta2009"。此套件是由Cheng et al. (2012) [8] 所設計，其目的是用來產生貝他分配(Beta Distribution)及狄氏分配(Dirichlet Distribution)的亂數。本論文特別針對此套件之(i)有效性(effiniency)、(ii)精確性(accuracy)及(iii)隨機性(randomness)進行評估，並與現有的R套件作比較。此外，本論文也介紹如何應用此套件來產生(i)反貝他分配(Inverted Beta Distribution)、(ii)反狄氏分配(Inverted Dirichlet Distribution)、(iii)Liouville分配及(iv)凸面區域上的均勻分配之亂數。 A package in R called "rBeta2009", originally designed by Cheng et al. (2012) [6], was introduced and evaluated in this thesis. The purpose of the package is generating beta random numbers and Dirichlet random vectors. In this paper, we not only evaluated (i) the efficiency, (ii) the accuracy and (iii) the randomness, but also compare it with other R packages currently in use. In addition, it was also scrutinized in this thesis how to generate (i) inverted beta random numbers, (ii) inverted Dirichlet random vectors, (iii) Liouville random vectors, and (iv) uniform random vectors over convex polyhedron by using the same package. |
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S. Mian and D. Haussler (1996). Dirichlet mixtures: A method for Improving Detection of Weak but Significant Protein Sequence Homology. The Computer Application in Bioscience, 12, pp. 327-345.\n[32] H. Sakasegawa (1983). Stratified rejection and squeeze method for generating beta random numbers. Annals of the Institute Statistical Mathematics, 35,pp. 291-302.\n[33] H. Sahai and R.L. Anderson (1973). Confidence regions for variance ratios of the random models for balanced data. Journal of the American Statistical Association, 68, 344, pp. 951-952.\n[34] J.W. Tukey (1947). Non-parametric estimation II. Statistically Equivalent Blocks and tolerance regions – the continuous case. The Annals of Mathematical Statistics, 18, pp. 529–539.\n[35] G.G. Tiao and I. Guttman (1965a). The inverted Dirichlet distribution with applications. Journal of the American Statistical Association, 60, pp. 793–805.\n[36] G.G. Tiao and I. Guttman (1965b). The inverted Dirichlet distribution with applications. Journal of the American Statistical Association, 60, pp. 1251-1252.\n[37] G.R. Warnes (2010). Various R programming tools. URL http://cran.r-project.org/web/packages/gtools/gtools.pdf.\n[38] E.P. Xing, M.I. Jordan, R.M. Karp and S. Russell (2002). A Hierarchical Bayesian Markovian Model for Motifs in Biopolymer Sequences. Proceedings of Advances in National Information Processing Systems, pp. 1489-1496.\n[39] H. Zechner and E. Stadlober (1993). Generating beta variates via patchwork rejection. Computing, 50,pp. 1-18. | 描述: | 碩士 國立政治大學 統計研究所 99354027 100 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0099354027 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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