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区域劳动力结构演进的随机模型及分析
引用本文:唐胜达,杜文忠.区域劳动力结构演进的随机模型及分析[J].经济数学,2010,27(3):105-110.
作者姓名:唐胜达  杜文忠
作者单位:1. 广西师范大学,数学科学学院,广西,桂林,541004
2. 桂林电子科技大学,软科学研究所,广西,桂林,541004
基金项目:广西自然科学基金资助项目(数理学科),广西师范大学校青年基金 
摘    要:采用具有吸收态的Markov过程刻画劳动力流动转移这一随机过程,利用劳动力的转移概率,得到了劳动力个体转移到各个产业间的平均工作时间及方差;同时也给出了在整个生产活动中劳动力个体的工作时间总和的均值及方差,本文也推导了劳动力个体在整个生产活动中创造的地区生产值分布,并由此给出地区生产总值计算方法.本文最后给出了一个数值计算实例.

关 键 词:劳动力结构  Markov过程  转移概率

Stochastic Model Analysis on the Regional Labor Structure Evolution
TANG,Sheng da and DU,Wen zhong.Stochastic Model Analysis on the Regional Labor Structure Evolution[J].Mathematics in Economics,2010,27(3):105-110.
Authors:TANG  Sheng da and DU  Wen zhong
Institution:1. Collegeof Mathematics, Guangxi Normal University, Guilin,Guang.ri 541004,China; 2. Soft Science lnsitution, Guilin University of Electronic Technology, Guilin, Guangxi 541004,China)
Abstract:This paper presented a Markov process with some absorbing states to describe labor structure model. Using the transition probability of the labor force, the expectation and the variance of the sojourn time in every industry were obtained, to which the individual labor was transferred from the initial industry. The distribution function of the per-capita Gross Regional Product (GRP) was also obtained. And the expecta- tions of the GRP created by the individual and the group respectively were derived. Moreover, a numerical example of the model was given.
Keywords:labor structure  Markov chain  transition matrix
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