China has 85.02 million disabled people,and 39%of them have needs for rehabilitation technical aids,while only 7.31%of them have been equipped with such aids.According to data from the National Working Commission on A...China has 85.02 million disabled people,and 39%of them have needs for rehabilitation technical aids,while only 7.31%of them have been equipped with such aids.According to data from the National Working Commission on Aging,the demands of Chinese pension services market are valued at more than RMB 3trillion,and will reach RMB 5 trillion by the year 2050.展开更多
A class of lifetime distributions, new better than equilibrium in expectation （NBEE）, and its dual, new worse than equilibrium in expectation （NWEE）, are studied based on the comparison of the expectations of life...A class of lifetime distributions, new better than equilibrium in expectation （NBEE）, and its dual, new worse than equilibrium in expectation （NWEE）, are studied based on the comparison of the expectations of lifetime X and its equilibrium Xo. The relationships of the NBEE （NWEE） and other lifetime distribution classes are discussed. It is proved that the NBEE is very large, and increasing failure rate （IFR）, new better than used （NBU） and the L class are its subclasses. The closure properties under two kinds of reliability operations, namely, convolution and mixture, are investigated. Furthermore, a Poisson shock model and a special cumulative model are also studied, in which the necessary and sufficient conditions for the NBEE （NWEE） lifetime distribution of the systems are established. In the homogenous Poisson shock model, the system lifetime belongs to NBEE（NWEE） if and only if the corresponding discrete failure distribution belongs to the discrete NBEE（NWEE）. While in the cumulative model, the system has an NBEE lifetime if and only if the stochastic threshold of accumulated damage is NBEE.展开更多
Economic Information Daily recently learnt from the Ministry of Industry and Information Technology(MIIT)that in order to further promote the new materials industry in China,it will,from this year on,formulate and int...Economic Information Daily recently learnt from the Ministry of Industry and Information Technology(MIIT)that in order to further promote the new materials industry in China,it will,from this year on,formulate and introduce a series of industrial promotion policies and measures,including preparing展开更多
Geometric process (GP) was introduced by Lam<SUP>[4,5]</SUP>, it is defined as a stochastic process {X <SUB>n </SUB>, n = 1, 2, · · ·} for which there exists a real number a 】 0...Geometric process (GP) was introduced by Lam<SUP>[4,5]</SUP>, it is defined as a stochastic process {X <SUB>n </SUB>, n = 1, 2, · · ·} for which there exists a real number a 】 0, such that {a <SUP>n−1</SUP> X <SUB>n </SUB>, n = 1, 2, · · ·} forms a renewal process (RP). In this paper, we study some limit theorems in GP. We first derive the Wald equation for GP and then obtain the limit theorems of the age, residual life and the total life at t for a GP. A general limit theorem for S <SUB>n </SUB>with a 】 1 is also studied. Furthermore, we make a comparison between GP and RP, including the comparison of their limit distributions of the age, residual life and the total life at t.展开更多
文摘China has 85.02 million disabled people,and 39%of them have needs for rehabilitation technical aids,while only 7.31%of them have been equipped with such aids.According to data from the National Working Commission on Aging,the demands of Chinese pension services market are valued at more than RMB 3trillion,and will reach RMB 5 trillion by the year 2050.
基金The National Natural Science Foundation of China(No. 10801032)
文摘A class of lifetime distributions, new better than equilibrium in expectation （NBEE）, and its dual, new worse than equilibrium in expectation （NWEE）, are studied based on the comparison of the expectations of lifetime X and its equilibrium Xo. The relationships of the NBEE （NWEE） and other lifetime distribution classes are discussed. It is proved that the NBEE is very large, and increasing failure rate （IFR）, new better than used （NBU） and the L class are its subclasses. The closure properties under two kinds of reliability operations, namely, convolution and mixture, are investigated. Furthermore, a Poisson shock model and a special cumulative model are also studied, in which the necessary and sufficient conditions for the NBEE （NWEE） lifetime distribution of the systems are established. In the homogenous Poisson shock model, the system lifetime belongs to NBEE（NWEE） if and only if the corresponding discrete failure distribution belongs to the discrete NBEE（NWEE）. While in the cumulative model, the system has an NBEE lifetime if and only if the stochastic threshold of accumulated damage is NBEE.
文摘Economic Information Daily recently learnt from the Ministry of Industry and Information Technology(MIIT)that in order to further promote the new materials industry in China,it will,from this year on,formulate and introduce a series of industrial promotion policies and measures,including preparing
基金the Department of Statistics of the Chinese University of Hong Kong.
文摘Geometric process (GP) was introduced by Lam<SUP>[4,5]</SUP>, it is defined as a stochastic process {X <SUB>n </SUB>, n = 1, 2, · · ·} for which there exists a real number a 】 0, such that {a <SUP>n−1</SUP> X <SUB>n </SUB>, n = 1, 2, · · ·} forms a renewal process (RP). In this paper, we study some limit theorems in GP. We first derive the Wald equation for GP and then obtain the limit theorems of the age, residual life and the total life at t for a GP. A general limit theorem for S <SUB>n </SUB>with a 】 1 is also studied. Furthermore, we make a comparison between GP and RP, including the comparison of their limit distributions of the age, residual life and the total life at t.
