Based upon the vast synthetically generated runoff samples,the runoff probability transition matrices is derived by simple statistics,which are more precise than those obtained only based on historical runoff series.

The analysis and computation of theiniticial probability, transition probabilities and the travel time probability are improved in this paper, and effective method to fix quantity of parameters is established.

The second order moment of the nth partial sum average of the stable output of the irreducible finite state homogeneous Markov chain is expressed in terms of the one step probability transition matrix to evaluate the error performance of the averaged stable output of the Markovian tracking and measuring loop.

The theory of LΩEGF and the scaling theory on multidimensional Fokker Planck equations with gradient potential are applied to derive the probability transition rate for Brownian motion in a symmetric two dimensional bistable potential. Based on the rate method in adiabatic elimination, the phenomenon of stochastic resonance is studied in this system. Compared with the known results, the analytic expression for signal to noise ratio derived in this study is independent of the intensity of friction,i.

To enable reliability tracing through a dynamic process, this paper presents a general model for component-based software reliability-component probability transition diagram-based on function abstractions.

Under the stochastic demand, one of the key problems for RMS design is how to design the capacity scalability and storage volume. Based on queuing theory, stochastic market demand model for single product family and production model of manufacturing systems were built. The queuing model and the state probability transition graph of RMS were given.

Application of the method to the Japan area renders good results, considering the occurrence of a high probability transition as a successful forecast.

An effective scheme is proposed for computing the probability transition matrix for the coupled system.

The predictability of the system is also investigated via the global analysis, with which the evolution of the system is translated to the evolution of probability transition on a Markov Chain.

Two decompositions are established for the probability transition function of the queue length process in the M/M/1 queue by a simple probabilistic argument.

The rate of convergence, defined as the percentage decrease in the distance between the transient probability distribution and the equilibrium probability distribution in each step, is determined as a function of the probability transition matrix.

The Early Paleozoic sedimentary basin in western Zhejiang was a wedge-shaped basin with a total area of 2000 km~2. In the Iater Ordovician, a flyschformation of 1000--2000 m thick developed in the basin. Based on the grain sizes of the sediments, patterns of beddings, beddingplane feature and grading. 8 states are selected. All data mentioned above arecalculated by computer. The matrixes of frequency transition, probability transition, limit probability, replacement and fixed vectors and entropies...

The Early Paleozoic sedimentary basin in western Zhejiang was a wedge-shaped basin with a total area of 2000 km~2. In the Iater Ordovician, a flyschformation of 1000--2000 m thick developed in the basin. Based on the grain sizes of the sediments, patterns of beddings, beddingplane feature and grading. 8 states are selected. All data mentioned above arecalculated by computer. The matrixes of frequency transition, probability transition, limit probability, replacement and fixed vectors and entropies are re-sulted respectively. The results show that the flysch basin in the westernZhejiang can be onviously divided into two logitudinal sedimental zones. thesouth east zone was a littoral area. and the north West zone was the axis of along and narrow basin. The hydrodynamic scele or tbe later was bigger andmore complicated than the tirst one. The entropy types and the projections ofsystematic entropy values have further improved the shallow-water origin ofthe flysch.

By means of analysing the historical data of flood-drought grade series in the past 2000 years(A.D.0-1900),especially in the last 5000 years (1470-1900) , this paper revealed the spatial-temporaldistribution features of severe flood and drought in Yellow River Valley. Statistical methods of varianceanalysis, probability transition and the principles of scale correspondence were employed tocomprehensively predicate 90's tendency of severe flood and drought in the Yellow River Valley. In addi-tion, this...

By means of analysing the historical data of flood-drought grade series in the past 2000 years(A.D.0-1900),especially in the last 5000 years (1470-1900) , this paper revealed the spatial-temporaldistribution features of severe flood and drought in Yellow River Valley. Statistical methods of varianceanalysis, probability transition and the principles of scale correspondence were employed tocomprehensively predicate 90's tendency of severe flood and drought in the Yellow River Valley. In addi-tion, this paper pointed out the possible breaching dikes, sectors and the flooding ranges by future's se-vere flood, meanwhile estimating the associated economic losses and impact to environment.

A fully relativistic Dirac--Fock method with Breit and QED corrections has beenemployed to study the recently identified spectra associated with doubly excited fourelectron quintet states of N IV -- F IX. As the spectral resolution obtained in theexperiment is insufficient to analyse fine structure, the present work reports calculationson the so--called maximum probability transition process, which can be used for "good"LS coupling systems. Configuration interaction rules used in previous work have beenextended...

A fully relativistic Dirac--Fock method with Breit and QED corrections has beenemployed to study the recently identified spectra associated with doubly excited fourelectron quintet states of N IV -- F IX. As the spectral resolution obtained in theexperiment is insufficient to analyse fine structure, the present work reports calculationson the so--called maximum probability transition process, which can be used for "good"LS coupling systems. Configuration interaction rules used in previous work have beenextended and applied to these quintet transitions. Based on these rules, the calculatedtransition wavelengths of the maximum probability transition processes and the lifetimesof quintet states are in go,od agreement with experiments.