The algorithm for K/N and cold standby equipment are studied by the Monte Carlo method. The algorithm for test and evaluation of binomial type unit, exponential type unit and series type equipment are implemented, the accuracy of the algorithms is validated with examples.
论文对专家信息融合的模型和算法进行了讨论，定义了专家信息之间的一致度，利用证据理论对专家信息一致度矩阵进行研究，提出了基于一致度的专家信息融合算法，该方法约束条件少，易于在可靠性试验评价中进行应用。
If the power series ∑anxn an ∑anxn and ∑bnxn satisfy the condition r =∑bn xn, we obtain the twin combinatorial identity theorem between the sequences {an} and bn}.We also obtain some specific twin combinatorial identities by using the expansion on the binomial expression formula, including two expansions of combinatorial number(rsn and...
如果幂级数∑anxn与∑bnxn满足条件r＝∑bnxn 时，获得数列｛an｝与｛bn｝之间孪生组合恒等式的定理，应用在二项式定理等展开式上得出具体的多组孪生组合恒等式，其中包含组合数的两种展开法，Bernoulli数直接表达式的新证等结果。
In Chapter 2, by means of the integral theory, a number of reciprocal series involving binomial coefficients have been established and some results related to binomial coefficients have been extended.
本章利用定积分的方法和常见的发生函数，结合一些运算技巧，建立了一些与二项式系数的倒数有关的恒等式。
Euler Equation Based on Alternating Series Number Pattern of Binomial Coefficient and Arrangement Number
基于二项式系数与排列数的交错级数型欧拉方程
Based on the differential factor approach, several practical transformation formulae between plane coordinate systems together with their application areas are proposed in this paper. These formulae are: improved power series formula, Taylor series formula, and Newton's binomial formula.
本文利用微分算子的方法，提出了坐标系统转换的几种实用公式，即：改进幂级数公式、台劳级数公式、牛顿二项式公式及应用范围。
In this paper, according to constructing multinomial and series of functions concludes the counting formula of K-order centeral moment of binomial. poisson and geometric distribution and common form of these formula
构造一类特殊多项式及级数，由此推导了二项分布，泊松分布及几何分布K阶中心矩的递推计算公式，得到了这几个公式的统一形式
This paper estimates to some of common methods obtaining approximate lower confidence for reliability of series systems from independently binomial (pass-fail) component test data.
本文对国内外推崇的几种常见的成败型串联系统可靠度近似置信下限方法进行了评定和初步的研究。
Discussion on bayes'confidence bound for binomial series system reliability using B (0, 0) as the prior distribution of component reliability
以B（O，O）作为元件可靠性的先验分布的二项串联系统可靠性的贝叶斯置信限的讨论
The annual occurrence number of the partial duration flood series estimated by the Poisson distribution and binomial distribution was studied in this paper. The above two distributions were combined with exponential distribution of peak magnitudes to obtain the T-year flood estimator, respectively.
研究了估计超定量洪水年发生次数的泊松分布和二项分布，并将这两种分布分别与指数分布组合，模拟超定量洪水系列，推导出T年重现期洪水估计的计算公式。