怀宁牛灯戏的传承现状及保护对策

牛灯戏是安庆怀宁地区独有的稀见戏曲剧种,2010年被安庆市人民政府列入安庆市第二批非物质文化遗产名录。面对社会转型期所带来的诸多问题,包括牛灯戏在内的稀见戏曲剧种普遍生存状况不佳。基于实地调查,文章从非物质文化遗产的角度关注和考察怀宁牛灯戏:梳理其历史渊源,总结其文化功能,分析其传承现状,在此基础上提出相应的保护对策。以期对安徽省稀见戏曲剧种的传承和保护路径进行初步探讨,为研究安徽区域文化的特殊性和促进地域文化和谐发展提供更多资料。     

Evaluation of Beta Generation Algorithms

In this article, we discuss the maximum likelihood estimates (MLEs) for the exponential and Weibull distributions by considering progressive Type-I interval censored data. For exponential distribution, the explicit expression of MLE of failure rate cannot be obtained when the intervals are not equal in length. The direct application of some numerical algorithms, such as the Newton–Raphson algorithm, is non-ideal because of the cumbersome second derivative. We apply some equivalent quantities to obtain the MLE of failure rate of exponential distribution. Based on the equivalent quantities and the Weibull-to-exponential transformation technique, we propose a new algorithm to obtain the MLEs for the parameters of progressive Type-I interval Weibull data. An example reanalysis and some simulation studies are carried out to illustrate the performance of the estimations using the new algorithm.     

Fast Random Number Generation Using 128-Bit Multimedia Extension Registers on Pentium Class Machines

In this article, it is shown how 128-bit SSE2 multimedia extension registers, present in Pentium IV class 32-bit processors, may be used to generate random numbers at several times greater speed then when regular general purpose registers are used. In particular, a 128-bit algorithm is presented for the Marsaglia MWC1616 generator from the DIEHARD battery of random number generator tests, and its performance is compared to that of the conventional approach.     

Two Birthday Problems

ABSTRACT

This article focuses on two birthday problems which naturally follow from the most common birthday problems taught in statistics courses. The solutions to these new problems provide a good illustration of several combinatorial techniques.     

The strong law of large numbers and the Shannon-McMillan theorem for the mth-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree

ABSTRACT

In this article, we studied the strong law of large numbers(LLN) and Shannon-McMillan theorem for an mth-order nonhomogeneous Markov chain indexed by an m- rooted Cayley tree. This article generalized the relative results of level mth-order nonhomogeneous Markov chains indexed by an m- rooted Cayley tree.     

Convergence properties for weighted sums of NSD random variables

Abstract

Let {X_n, n ? 1} be a sequence of negatively superadditive dependent (NSD, in short) random variables and {b_ni, 1 ? i ? n, n ? 1} be an array of real numbers. In this article, we study the strong law of large numbers for the weighted sums ∑ⁿ_{i = 1}b_niX_i without identical distribution. We present some sufficient conditions to prove the strong law of large numbers. As an application, the Marcinkiewicz-Zygmund strong law of large numbers for NSD random variables is obtained. In addition, the complete convergence for the weighted sums of NSD random variables is established. Our results generalize and improve some corresponding ones for independent random variables and negatively associated random variables.     

Third-Order Translog Utility Functions

This article examines the advantages of estimating a third-order rather than a second-order translog utility function in a theoretical and empirical context. It is demonstrated that the rigor of tests for appropriate functional form is increased by increasing the order of approximation. An empirical example demonstrates that a second-order approximation can lead to inconsistent parameter estimates, whereas the third-order translog allows for better modeling of the preference structure and more consistent estimates for policy decisions.     

基于区间数的PROMETHEE Ⅱ方法中权重确定

本文引入一种新的区间数距离测度,扩展了可直接处理特征空间为区间数的PROMETHEE Ⅱ多属性决策方法。并在分析属性加权向量ω与最终综合优先序值之间关系的同时,提出了一种基于区间数的PROMETHEE Ⅱ方法的属性权重ω确定原理。应用实例表明了该方法的可行性和有效性,具有推广应用价值。     

催渗奥氏体氮碳共渗的研究

本文离对铁丝，２０，４５，４０Ｃｒ采用不同温度不同催渗剂进行了奥氏体气体，固体氮碳共渗的的研究，并对试样进行了金相分析，硬度测定，电子探针成分分析。结果表明，在７２０℃以下进行催渗奥氏体氮碳共渗，渗层深度，硬度啬显著；氮碳共渗后快冷，在渗层获得马氏体组织。