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时滞种群模型的正周期解对所有正解的吸引性 被引量:4

SHRINKAGE ESTIMATION FOR THE SCALE PARAMETER OF WEIBULL DISTRIBUTION
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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. 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.
作者 李永昆
机构地区 云南大学数学系
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 1997年第3期279-282,共4页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 云南省应用基础研究基金
关键词 时滞种群模型 正周期解 吸引性 正解 种群模型 Shrinkage Estimation, Scale Parameter, Weibull Distribution.
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同被引文献23

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  • 2李永昆 李永清.一个时滞种群模型周期正解的全局稳定性.全国第五届常微分方程稳定性理论及其应用学术会议论文集[M].大连海事出版社,1996.400-402.
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