Therefore,in order to simplify the proving process of these inequalities.Though reading a lot of relevant resource,we begin with the basic concept of math,and use an ingenious way――probabilistic method, which means that according to the main features of inequality theory,combining the basic concepts and formulas of probability,through creating one suitable probability model,giving some concrete meanings of random events or random variables,proving through probability theory,we discuss the Cauchy inequality,Class inequality,Jensen inequality,and several common inequality's proofs.

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The paper consists of three parts. First, we give the calculation for every order central moment for the Logistic population, mean vector and covariance matrix of the order statistic of random sample from the Logistic population, and means of several special functions for the order statistic of random sample from the Logistic population. Secondly, we discuss the parameter estimation for the Logistic population. Finally, we solve the question about the goodness-of -fit test for the Logistic population.

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Longitudinal and correlated data are commonly modeled with generalized linear mixed models which contain both fixed and random effects. The source of the random effect may come from the genetic heredity, familial aggregation, or environmental heterogeneity. The inference of its variance component is usually difficult due to the dimension of its covariance matrix and the complexity of the likelihood function.

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The result shows that the probability arithmetic of the random crack core evolvement without considering some simultaneous fiber breaks brings marked errors , and computational precisions of the random crack core evolvement probability and composite st rength could be enhanced with considering some fiber breaks at the same time.

計算表明：忽略多根纖維同時斷裂的算法會使隨機(jī)裂紋核擴(kuò)展概率計算結(jié)果產(chǎn)生較大的誤差操来操去网站，而考慮多根纖維同時斷裂的算法可以提高裂紋擴(kuò)展概率的計算精度国产日韩欧美色另类，從而有利于提高復(fù)合材料強(qiáng)度的預(yù)測精度。

The back propagation artificial neural net is applied in random response analysis of structure. Thus, the process of finite element computing repeat several times and train BP net between the random input variables and the corresponding response parameters.

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Though studying some concepts and formulas in theory of probability,we give the definition of conditional independent between two random events and the formula probability in complete events set,and a simplified formula for density s function in n random variables is given.

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Firstly, the random scene of fire was assumed. And then according to the probability distributions of the random parameters of fire in the building, a large number of samples were obtained using mixed congruence method and inverse function method of Monte-Carlo. Finally, the performance of the samples was simulated using Ozone, and the failure probability of the structure in fire was analyzed.

該模型首先確定火災(zāi)隨機(jī)場景，根據(jù)建筑物內(nèi)火災(zāi)隨機(jī)參數(shù)的概率分布制服丝袜熟女一区二区，利用蒙特卡洛的混合同余法和反函數(shù)法產(chǎn)生火災(zāi)隨機(jī)場景的抽樣樣本色伊人网站，然后利用OZone軟件進(jìn)行火災(zāi)下抽樣樣本的性能模擬，通過大量樣本的模擬實現(xiàn)了結(jié)構(gòu)在火災(zāi)下的失效概率分析十八禁网站免费观看。

Mixed Discrete Random Programming is one kind of random arithmetic,this arithmetic's superiority is easy and quick, but it is easy to constringe partially.

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If mark the probability density function of continuous random variable X and continuous random variable leave each other, then when,there is , there is inverse function of .

Theorem 如果將連續(xù)型隨機(jī)變量和連續(xù)型隨機(jī)變量的概率密度函數(shù)分別記為，則時有：啊啊啊网站免费观看，這里是的反函數(shù)欧美极品第一。

Chaos is a dynamic and species-random and nonlinear system, and it has sensitive initial conditions, continuous power spectrum and traversal, so it is often used to generate pseudo-random sequence.

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