时滞种群模型的正周期解对所有正解的吸引性  

SHRINKAGE ESTIMATION FOR THE SCALE PARAMETER OF WEIBULL DISTRIBUTION

作　　者：李永昆[1] 

机构地区：[1]云南大学数学系

出　　处：《高校应用数学学报（A辑）》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

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.

关 键 词：时滞种群模型 正周期解 吸引性 正解 种群模型 

分 类 号：Q141[生物学—生态学] O175.1[生物学—普通生物学]