# 臺灣博碩士論文加值系統

(44.222.82.133) 您好！臺灣時間：2024/09/08 19:19

:::

### 詳目顯示

:

• 被引用:0
• 點閱:9
• 評分:
• 下載:1
• 書目收藏:0
 在現今統計建模中，有許多不同的方法可用於分析零膨脹計數數據，其中最常用的是零膨脹模型。然而，柵欄模型的表現有較好的彈性，尤其在反應變數的零比例較低之情況。因此，我們採用這樣的假設：反應變數的邊際分佈服從柵欄二項分配，以適應零膨脹和零收縮的情況。此外，為了解決特定區域內重複測量所產生的時空相關性，我們採用廣義估計方程式(GEE, Generalized Estimating Equations) 估計回歸係數。值得注意的是，GEE 具有穩健性，即使反應變數的實際分配是未知的情況下也適用。進一步，我們採用迭代非參數的技術更新工作相關矩陣，並使用Jackknife 摺刀法近似GEE 之下的變異數估計，從而獲得更有效和可靠的估計。在模擬結果中，我們提出的方法被證明有能力處理具有零調整特徵的複雜時空資料集。此外，我們也與採用不同參數估計方法的柵欄模型進行了一系列比較分析。基於均方誤差(MSE, Mean squarederror) 測量，結果證明了相對於替代方法我們的方法更具優勢。關鍵字：廣義估計方程式、摺刀法重抽樣、時空相關性、零膨脹、零緊縮
 In contemporary statistical modeling, various techniques are available for analyzing zeroinflatedcount data, among which zero-inflated models are commonly used. However,hurdle models offer greater flexibility, especially in low-zero proportions. Thus, we adoptthe assumption that the marginal distribution of the response follows a hurdle binomialdistribution, accommodating both zero-inflated and zero-deflated situations. Additionally,to address spatiotemporal correlations resulting from repeated measurements withinspecific regions, we employ Generalized Estimating Equations (GEE) to estimate the regressioncoefficients. Notably, GEE demonstrates robustness, making it suitable evenwhen the underlying distribution of the responses is unknown. Furthermore, we incorporatean iteratively nonparametric technique to update the working correlation matrixand utilize the jackknife approach to approximate the estimation variance of GEE, resultingin more effective and reliable estimates. In the simulation results, our proposedmethodology proves to be promising for analyzing complex spatiotemporal datasets withzero-modified characteristics. Additionally, a series of comparative analyses with alternativehurdle models employing different parameter estimation methods are conducted.The results demonstrate the advantage of our approach over the alternatives based onmean squared error measurements.Keywords : Generalized Estimating Equations, Jackknife resampling, Spatiotemporalcorrelations, Zero-inflated, Zero-deflated.
 摘要Abstract第1 章緒論第2 章模型介紹2.1 柵欄二項模型2.2 柵欄二項模型之廣義估計方程式2.3 時空相關性參數2.4 Var(ˆβ) 之估計第3 章模擬實驗3.1 模擬設定3.2 模擬流程3.3 評估準則3.4 模擬實驗之結果3.5 方法比較第4 章實際資料分析4.1 資料說明4.2 分析結果第5 章結論附錄一附錄二附錄三
 Adegboye, O. A., Leung, D. H., & Wang, Y.-G. (2018). Analysis of spatial data with a nested correlation structure. Journal of the Royal Statistical Society Series C: Applied Statistics, 67(2), 329–354.Bertoli, W., Conceição, K. S., Andrade, M. G., & Louzada, F. (2020). A bayesianapproach for some zero-modified poisson mixture models. Statistical Modelling, 20(5), 467–501.Brooks, M. E., Kristensen, K., Van Benthem, K. J., Magnusson, A., Berg, C. W.,Nielsen, A., … Bolker, B. M. (2017). glmmtmb balances speed and flexibility among packages for zero-inflated generalized linear mixed modeling. The R journal, 9(2), 378– 400.Chen, C.-S., & Shen, C.-W. (2022). Distribution-free model selection for longitudinal zero-inflated count data with missing responses and covariates. Statistics in Medicine, 41(16), 3180–3198.Feng, C. X. (2021). A comparison of zero-inflated and hurdle models for modelingzero-inflated count data. Journal of statistical distributions and applications, 8(1), 8.He, H., Wang, W., Hu, J., Gallop, R., Crits-Christoph, P., & Xia, Y. (2015).Distribution-free inference of zero-inflated binomial data for longitudinal studies. Journal of applied statistics, 42(10), 2203–2219.Liang, K.-Y., & Zeger, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika, 73(1), 13–22.Schabenberger, O., & Gotway, C. A. (2017). Statistical methods for spatial data analysis. Chapman and Hall/CRC.TCCIP. (nd). 臺灣氣候變遷推估資訊與調適知識平台. https://tccip.ncdr.nat.gov.tw/.
 電子全文
 推文當script無法執行時可按︰推文 網路書籤當script無法執行時可按︰網路書籤 推薦當script無法執行時可按︰推薦 評分當script無法執行時可按︰評分 引用網址當script無法執行時可按︰引用網址 轉寄當script無法執行時可按︰轉寄

 無相關論文

 無相關期刊

 1 AI檢驗於Fan-out封裝產品氣泡缺陷的影像檢驗研究 2 舞蹈者身體欣賞、自我呈現與舞蹈意象關係之研究 3 無邊界零膨脹資料時空分析的半參數估計方法 4 閾值邊界卜瓦松迴歸模型的估計 5 合建契約法律關係之研究 6 預售屋買賣法律議題之研究-以消費者交易風險為中心

 簡易查詢 | 進階查詢 | 熱門排行 | 我的研究室