In this article, we study a model of a single variable sampling plan with Type I censoring.Assume that the quality of an item in a batch is measured by a random variable which follows aWeibull distribution W(λ,m), wi...In this article, we study a model of a single variable sampling plan with Type I censoring.Assume that the quality of an item in a batch is measured by a random variable which follows aWeibull distribution W(λ,m), with scale parameter A and shape parameter m having a gammadiscrete prior distribution or θ=1/λ and m having an inverse gamma-uniform prior distribution.The decision function is based on the Kaplan-Meter estimator. Then, the explicit expressions ofthe Bayes risk are derived. In addition, an algorithm is suggested so that an optimal samplingplan can be determined approximately after a finite number of searching steps.展开更多
The maximum entropy principle (MEP) method and the corresponding probability evaluation method are introduced, and the maximum entropy probability distribution expression is deduced in moment of the second order. Full...The maximum entropy principle (MEP) method and the corresponding probability evaluation method are introduced, and the maximum entropy probability distribution expression is deduced in moment of the second order. Fully developed wave height distribution in deep water and wave height and period distribution for different depths in wind wave channel experiment are obtained from the MEP method, and the results are compared with the distribution and the experimental histogram. The wave height and period distribution for the Lianyungang port is also obtained by the MEP method, and the results are compared with the Weibull distribution and the field histogram.展开更多
In this paper both processes of landslide and subsidence are considered to be limited systems. Each of these systems in nature might be regarded as an organism. Generally their lifespan must develop with common ecolog...In this paper both processes of landslide and subsidence are considered to be limited systems. Each of these systems in nature might be regarded as an organism. Generally their lifespan must develop with common ecological characteristics, including several evolutional stages, such as initiation, growth, maturation, decline and death. Among these stages, maturation is emphasized so as to find the occurring or thriving date of both systems. An once-through cycle of both landslide and subsidence is established and is accurately predicted by a developed, mathematic model of the Poisson cycle. The Weibull distribution is cited for a landslide example. Both fundamentals are discussed. Stage predictions of landslide and subsidence are performed for several examples. Back analysis of landslides that have already happened are studied with the same model. And when compared with results from the biological mathematic model and with practical results, it is found that they correspond. Stage prediction of subsidences is also researched by the principle of the Poisson cycle.展开更多
文摘In this article, we study a model of a single variable sampling plan with Type I censoring.Assume that the quality of an item in a batch is measured by a random variable which follows aWeibull distribution W(λ,m), with scale parameter A and shape parameter m having a gammadiscrete prior distribution or θ=1/λ and m having an inverse gamma-uniform prior distribution.The decision function is based on the Kaplan-Meter estimator. Then, the explicit expressions ofthe Bayes risk are derived. In addition, an algorithm is suggested so that an optimal samplingplan can be determined approximately after a finite number of searching steps.
文摘The maximum entropy principle (MEP) method and the corresponding probability evaluation method are introduced, and the maximum entropy probability distribution expression is deduced in moment of the second order. Fully developed wave height distribution in deep water and wave height and period distribution for different depths in wind wave channel experiment are obtained from the MEP method, and the results are compared with the distribution and the experimental histogram. The wave height and period distribution for the Lianyungang port is also obtained by the MEP method, and the results are compared with the Weibull distribution and the field histogram.
基金The paper is one part of a project supported by National Education Committee Funds for Doctoral Faculty
文摘In this paper both processes of landslide and subsidence are considered to be limited systems. Each of these systems in nature might be regarded as an organism. Generally their lifespan must develop with common ecological characteristics, including several evolutional stages, such as initiation, growth, maturation, decline and death. Among these stages, maturation is emphasized so as to find the occurring or thriving date of both systems. An once-through cycle of both landslide and subsidence is established and is accurately predicted by a developed, mathematic model of the Poisson cycle. The Weibull distribution is cited for a landslide example. Both fundamentals are discussed. Stage predictions of landslide and subsidence are performed for several examples. Back analysis of landslides that have already happened are studied with the same model. And when compared with results from the biological mathematic model and with practical results, it is found that they correspond. Stage prediction of subsidences is also researched by the principle of the Poisson cycle.
