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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/152777


    Title: 使用貝氏 EMM 分析排序資料
    Ranking Data Analysis by Bayesian Extended Mallows Model
    Authors: 陳俊宇
    Chen, Jyun-Yu
    Contributors: 翁久幸
    Weng, Chiu-Hsing
    陳俊宇
    Chen, Jyun-Yu
    Keywords: 排序聚合
    貝氏估計
    網路搜尋引擎
    Extend Mallows Model
    Mallows Model
    Date: 2024
    Issue Date: 2024-08-05 13:59:40 (UTC+8)
    Abstract: 排序是常見的資料型態，利用排序聚合方法 (rank aggregation) 集結數個排序，以得到一個更可靠的聚合排序更是重要的課題。本論文建立在Li et al. (2020) 所提出的 Extended Mallows Model (EMM)，一種用於分析排序資料的機率模型，EMM 在聚合排序的同時還可以衡量不同排序的差異。本文提出貝氏方法估計 EMM 的參數，發現貝氏估計相對於 Expectation Conditional Maximization (ECM) 演算法 (Meng and Rubin, 1993) 所迭代出的最大概似估計對起始值較不敏感，且可以藉由 MCMC 採樣值推論參數的不確定性。我們也嘗試了不同數量的起始值以觀察 ECM 的表現，發現當起始值數量增加，某些參數的最大概似估計的 MSE 會降低，但估計的排序與真實排序的 Kendall’s tau 距離卻略微上升。在實際資料分析的部分，本文比較不同網路搜尋引擎的差異，並聚合不同的
    搜尋結果。我們也分析 NBA Team Ranking 資料集 (Deng et al., 2014)，並與其他方法做比較。
    Reference: JC de Borda. M’emoire sur les’ elections au scrutin. Histoire de l’Acad’emie Royale des Sci-
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    Ke Deng, Simeng Han, Kate J Li, and Jun S Liu. Bayesian aggregation of order-based rank data.
    Journal of the American Statistical Association, 109(507):1023–1039, 2014.
    Cynthia Dwork, Ravi Kumar, Moni Naor, and Dandapani Sivakumar. Rank aggregation methods
    for the web. In Proceedings of the 10th international conference on World Wide Web, pages
    613–622, 2001.
    Bradley Efron. Bootstrap methods: another look at the jackknife. In Breakthroughs in Statistics:
    Methodology and Distribution, pages 569–593. Springer, 1992.
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    Statistical Society: Series B (Methodological), 48(3):359–369, 1986.
    Raivo Kolde, Sven Laur, Priit Adler, and Jaak Vilo. Robust rank aggregation for gene list
    integration and meta-analysis. Bioinformatics, 28(4):573–580, 2012.
    Han Li, Minxuan Xu, Jun S. Liu, and Xiaodan Fan. ExtMallows: An Extended Mallows Model
    and Its Hierarchical Version for Ranked Data Aggregation, 2018. URL https://CRAN.
    R-project.org/package=ExtMallows. R package version 0.1.0.
    Han Li, Minxuan Xu, Jun S Liu, and Xiaodan Fan. An extended mallows model for ranked data
    aggregation. Journal of the American Statistical Association, 115(530):730–746, 2020.
    Colin L Mallows. Non-null ranking models. i. Biometrika, 44(1/2):114–130, 1957.
    Xiao-Li Meng and Donald B Rubin. Maximum likelihood estimation via the ecm algorithm: A
    general framework. Biometrika, 80(2):267–278, 1993.
    Louis L Thurstone. A law of comparative judgment. Psychological Review, 101(2):266, 1994.
    Wanchuang Zhu. PAMA: Rank Aggregation with Partition Mallows Model, 2021. URL https:
    //CRAN.R-project.org/package=PAMA. R package version 1.2.0.
    Wanchuang Zhu, Yingkai Jiang, Jun S Liu, and Ke Deng. Partition–mallows model and its
    inference for rank aggregation. Journal of the American Statistical Association, 118(541):
    343–359, 2023.
    Description: 碩士
    國立政治大學
    統計學系
    111354016
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0111354016
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

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