A comparison of related density-based minimum divergence estimators

被引:88
作者
Jones, MC [1 ]
Hjort, NL
Harris, IR
Basu, A
机构
[1] Open Univ, Dept Stat, Milton Keynes MK7 6AA, Bucks, England
[2] Univ Oslo, Dept Math, N-0316 Oslo, Norway
[3] So Methodist Univ, Dept Stat Sci, Dallas, TX 75275 USA
[4] Indian Stat Inst, Appl Stat Unit, Kolkata 700035, W Bengal, India
关键词
asymptotic relative efficiency; divergence; influence function; maximum likelihood; M-estimation; robustness;
D O I
10.1093/biomet/88.3.865
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper compares the minimum divergence estimator of Basu et al. (1998) to a competing minimum divergence estimator which turns out to be equivalent to a method proposed from a different perspective by Windham (1995). Both methods can be applied for any parametric model and contain maximum likelihood as a special case. Efficiencies are compared under model conditions, and robustness properties are studied. Overall the two methods are found to perform quite similarly. Some relatively small advantages of the former method over the latter are identified.
引用
收藏
页码:865 / 873
页数:9
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