1 An estimator is a random variable.

2 Each input is modeled by a random variable.

3 That could be extended to all discrete random variable and vector with the infinited countable distribution series.

4 Random variable, permissibility, independency and interrelation, which are easily confused, are common concepts in probability statistics.

5 This article's emphasis studies the random variable using the copula function to describe tail dependence.

6 In credibility model, we regard risk X a random variable which is depend on a parameter.

7 The variance of a random variable is the square of its standard deviation.

8 Solving the distribution of random variable function which is of great significance whether in theory or in application is an important question in probability theory.

9 By a discrete random variable measure the degree of value, ...

10 The credit rate of return is a random variable as a result of any bank's credit activity.

11 A class of discrete type random variable probability distributions, called negative geometric distribution and negative hypergeometric distribution, are discussed.

12 The demand rate of the retailer is random variable and submits to Poisson distribution.

13 In this paper, we consider an independent random variable group's sequence with the value of the nonnegative integers set.

14 A kind of interesting discrete random variable is introduced, its mathematical expectation and variance are equal to 1, and further we obtain some summation formulas.

15 The weighted mean of the random variable is the expected value.

16 Moreover, the idea of random transformation of gambling system is extended to the sequence of arbitrary random variable, and some limit theorems for their random selection and random .

17 The paper analyses the fact that the original discrete premise is actually changed in the situation that the marginal analytic method is used towards the discrete random variable.

18 Based upon related theories and his own teaching experience, the authors of this paper give several methods about the calculation of discrete random variable mathematics expectation.

19 In this paper, we study the distribution law of order statistic of discrete type random variable.

20 On the basis of random numbers, The structure-formula of the normal random variable has been designed according to the limit theorem.

21 In this paper, we study the symmetry on distribution matrix of order statistic of discrete type random variable.

22 In this paper, we study the symmetry on distribution matrix of order statistic of discrete type random variable. Therefore, we obtain two theorems.

23 This method combines active and reactive power of wind farms with corresponding weighting values of sensitivity matrix and converts them to an independent random variable.

24 In the end, it is extended to the continuous random variable.

25 Demonstrate understanding of the concept and properties of a discrete random variable , including calculation and interpretation of the mean and variance.

26 Mathematical expectation is one of the important digital features of random variable.

27 The key is the notion of a discrete quantization of a random variable X.

28 And then, a method by which a fuzzy variable can be transformed into its equivalent normal random variable is put forward, and the method follows the entropy conservation principle.

29 In a given period the seasonal goods can be ordered at a discount price, and the demand for the goods is an issue of discrete random variable.

30 This paper expounds the mathematical theory of Monte Carlo method, and the random variable sample method of parameters in the calculation process of gas reserves in conjunction with examples.

31 It is pointed out in this paper that the base discount rate should be taken as a random variable when appraising an investment project with the net present value index.

32 In this paper, the optional model on the seasonal order of goods when the demand is a continuous random variable is set up and is simply illustrated in practice according to maximum expected profits.

33 Based on random variable expectation and variance, some inequalities are proved.

34 Experimental Verification : Theory formula is the average value of the random variable mathematical expectation (estimated) formula.

35 The variance of a real-valued random variable is its second central moment, and it also happens to be its second cumulant .

36 Do The Function of A Continuous Type of Random Variable Also Belong To One?

37 Let be a -mixing random variable sequence, and it is proved to be a theorem of complete convergence under the condition of slow mixing speed and non-identity distribution.

38 In order to analyze the effect of the nonlinearity of the function on calculating the expectation and variance of nonlinear function of continuous random variable, a set of examples are designed.

39 Firstly, the definitions of complex quasi - random variable and primary norm are introduced.

40 Kurtosis is a classical measure of non-Gaussianity of random variable.

41 Finally, the solution of the insurance fraud game, which the loss amount of insurance object is discrete random variable, is demonstrated.

42 We furthermore calculate the expectation and variance of random variable, and discuss the approximate value of no-arbitrage price when jump obeying poisson distribution.

43 Based on the simulation results, it is validated that, when each parameter is a normal random variable, the maximum corrosion-induced expansive pressure is also a normal random one.

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44 A mixed strategy is a probability distribution over the pure strategies available to each player, and the pay-off becomes a random variable.

45 Property of symmetric random variable is discussed by introducing the concept of almost supremum and infimum.