A Note on the Frequency Polygon Based on the Weighted Sums of Binned Data

doi:10.1080/03610926.2012.673675

淡江大學機構典藏 > 商管學院 > 統計學系暨研究所 > 期刊論文 > Item 987654321/97727

請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/97727

題名:	A Note on the Frequency Polygon Based on the Weighted Sums of Binned Data
作者:	Deng, Wen-shuenn;Wu, Jyh-shyang;Chen, Li-ching;Ke, Shun-jie
貢獻者:	淡江大學統計學系;淡江大學數學學系
關鍵詞:	Edge frequency polygon;Kernel-based weights;Midpoint frequency polygon;Minimum variance weights;Mixture weights;Uniform weights;Primary 62G07;Secondary 62G20
日期:	2014-03-28
上傳時間:	2014-04-17 10:51:19 (UTC+8)
出版者:	Philadelphia: Taylor & Francis Inc.
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.
關聯:	Communications in Statistics - Theory and Methods 43(8), pp.1666-1685
DOI:	10.1080/03610926.2012.673675
顯示於類別:	[數學學系暨研究所] 期刊論文 [統計學系暨研究所] 期刊論文

文件中的檔案:

檔案	大小	格式	瀏覽次數
A Note on the Frequency Polygon Based on the Weighted Sums of Binned Data.pdf	643Kb	Adobe PDF	3	檢視/開啟
index.html	0Kb	HTML	212	檢視/開啟
index.html	0Kb	HTML	153	檢視/開啟

在機構典藏中所有的資料項目都受到原著作權保護.

TAIR相關文章

資料載入中.....