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时滞种群模型的正周期解对所有正解的吸引性
引用本文:李永昆.时滞种群模型的正周期解对所有正解的吸引性[J].高校应用数学学报(A辑),1997(3).
作者姓名:李永昆
作者单位:云南大学数学系
基金项目:云南省应用基础研究基金
摘    要:建立了对数种群模型N′(t)=N(t){r(t)-a1(t)ln[N(t)]-a2(t)ln[N(t-τ(t))]}的周期正解的存在性,并得到了正周期解对所有正解的吸引性.

关 键 词:时滞种群模型,正周期解,吸引性

SHRINKAGE ESTIMATION FOR THE SCALE PARAMETER OF WEIBULL DISTRIBUTION
Fei Heliang,Han Baichang.SHRINKAGE ESTIMATION FOR THE SCALE PARAMETER OF WEIBULL DISTRIBUTION[J].Applied Mathematics A Journal of Chinese Universities,1997(3).
Authors:Fei Heliang  Han Baichang
Abstract:In this paper, the shrinkage estimation of the scale parameter of the Weibull distribution is discussed. Two different shrinkage estimations of the Weibull scale parameter under the assumption of two different prior information cases of the scale parameter are presented. The relative efficiency of the shrinkage estimation is studied by Monte Carlo simulation. Finally, an example in is computed, it shows that the shrinkage estimation is feasible and applicable. In conclusion, the shrinkage estimation is very effective, especially when the size of sample is small or the sample is highly censored.
Keywords:Shrinkage Estimation  Scale Parameter  Weibull Distribution    
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