In this paper, we give the almost sure central limit theorem, under thecoudition of existence of second order moment, for NA and LNQD random variableswith stationary distribution, where W is the standard Brownian motion on [0, 1].

A class of local convergence theorems for the sequence of random variables;

A conclusion of exchangeable random variables;

The strong law of large numbers for negatively associated random variables;

On the convergence of the series for the sequence of discrete random variables;

This paper tries a new approach to prove the expectancy formula on the sum of stochastic variables by the distribution of the stochastic variables sum in convolution product formula to avoid the troublesome in inducing the formulas of conditional expectancy and complete expectancy.

Stochastic variable X_i following any probability distribution function is mapped to stochastic variable Y_i with standard normal distribution function.

n this paper,mathematical model and its solution method for optimal (1#62 N)stochastic dispatching of resenvoir considering inflow and irrigation flow as stochastic variables and three state spaces are proposed.

In the text, major stochastic variables such as f ,c and a and the upstream and downstream water levels that influence the dependability in analysis are discussed.

This paper introduces the double random variable method to improve the regression analysis of the blasting vibrational velocity and the application programs in computing of the method.