probability space
1.Statistical Learning Theory or SLT, which was based on probability space, is a small-sample statistics by Vapnik.
2.By means of reconstruction probability space,a novel queuing model G/G/1(G)/S FCFS is established which is a discrete integrated serrive model in polling LAN. In additon,It is analyze the probability of packet loss methematically by means of the theory of embedded Markov chain and the probabilistic generating function.
3.Let {Xn,n≥0 }be a countable non-homogeneous Markov chain,and Sn(i0,…,im-1,ω)be the number of the m-tuple (i0,…,im-1)of states in the sequence of the m-dimensional random vectors (X,… ,Xm-1,), (X1, …,Xm),…, (Xn-1,…,Xn+m-2), In this paper,by use of a realization of(Xn,n≥0)in the Wieners probability space,a class of strong laws of large numbers on Sn(i0,…,im-1,ω)which hold for arbitrary countable non-homogeneous Markov chains are obtained.
5.“We should instead be searching for reliable statistical methods for quantifying the probability of earthquake occurrence as a function of space, time, earthquake size, and previous seismicity.
6.In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence-distribution-scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy.
7.This paper gives a review on the five analysis approaches of fluctuation pressure on the hydraulic structures and hydromachines: the method of probability and random process, the method of time-space correlation, the method of fitting data, the method of distribution hypotheses on the data of test survey stations, and the hydromechanics method.
8.Analytical solution of space probability distributions of two-dimensional few-body adiabatic piston system
9.Through computing microstate numbers of macro-gas before and after its space-variant diffusion, based on the equal probability principle, we conclude that the micro-substance is more likely to occur after the space-variant diffusion of macro-gas than before its diffusion.
10.The result shows that 7 of the8 moderately strong earthquakes occurred in Probability increase time, the TJP warnings. makes up 40.7% of the studied total time-space domain,. the evaluated point of R is.

