教師資料查詢 | 類別: 期刊論文 | 教師: 鄧文舜 Deng Wen-shuenn (瀏覽個人網頁)

標題:A Note on the Frequency Polygon Based on the Weighted Sums of Binned Data
學年100
學期2
出版(發表)日期2012/05/01
作品名稱A Note on the Frequency Polygon Based on the Weighted Sums of Binned Data
作品名稱(其他語言)
著者Deng, Wen-shuenn; Wu, Jyh-shyang; Chen, Li-ching; Ke, Shun-jie
單位淡江大學統計學系; 淡江大學數學學系
出版者Philadelphia: Taylor &; Francis Inc.
著錄名稱、卷期、頁數Communications in Statistics - Theory and Methods 43(8), pp.1666-1685
摘要We revisit the generalized midpoint frequency polygons of Scott (1985), and the edge frequency polygons of Jones et al. (1998) and Dong and Zheng (2001). Their estimators are linear interpolants of the appropriate values above the bin centers or edges, those values being weighted averages of the heights of r, r ∈ N, neighboring histogram bins. We propose a simple kernel evaluation method to generate weights for binned values. The proposed kernel method can provide near-optimal weights in the sense ofminimizing asymptotic mean integrated square error. In addition, we prove that the discrete uniform weights minimize the variance of the generalized frequency polygon under some mild conditions. Analogous results are obtained for the generalized frequency polygon based on linearly prebinned data. Finally, we use two examples and a simulation study to compare the generalized midpoint and edge frequency polygons.
關鍵字Edge frequency polygon;Kernel-based weights;Midpoint frequency polygon;Minimum variance weights;Mixture weights;Uniform weights;Primary 62G07;Secondary 62G20
語言英文(美國)
ISSN1532-415X
期刊性質國外
收錄於SCI;
產學合作
通訊作者Deng, Wen-shuenn
審稿制度
國別美國
公開徵稿
出版型式,電子版,紙本
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