一种简单有效的二项分布比例参数似然比置信区间的求法

对二项分布比例参数p的似然比置信区间,提出一种简便求解方法。在平均覆盖率、平均区间长度及区间长度的95%置信区间准则下与WScore、Plus4、Jeffreys置信区间进行模拟比较。试验表明,在二项分布b(n,p)的参数n≥20且p∈(0.1,0.9)时,该方法获取的似然比置信区间性能优良。当点估计p值不是接近于0或1且n≥20时,推荐使用本方法获取p的置信区间。     

A comparison study of computational methods of Kolmogorov–Smirnov statistic in credit scoring

Kolmogorov–Smirnov statistic (KS) is a standard measure in credit scoring. Currently, there are three computational methods of KS: method with equal-width binning, method with equal-size binning and method without binning. This paper compares the three methods in three aspects: Values, Rank Ordering of Scores and Geometrical Way. The computational results on the German Credit Data show that only the method without binning can produce a unique value of KS. It is further proved analytically that the method without binning yields the maximum value of KS among the three methods. The computational results also show that only the method with equal-size binning can be used to evaluate rank ordering of scores. Moreover, it is proved that all the three methods can be used to calculate KS in a geometric way.     

Bivariate extension of (dynamic) cumulative past entropy

Recently, the concept of cumulative residual entropy (CRE) has been studied by many researchers in higher dimensions. In this article, we extend the definition of (dynamic) cumulative past entropy (DCPE), a dual measure of (dynamic) CRE, to bivariate setup and obtain some of its properties including bounds. We also look into the problem of extending DCPE for conditionally specified models. Several properties, including monotonicity, and bounds of DCPE are obtained for conditional distributions. It is shown that the proposed measure uniquely determines the distribution function. Moreover, we also propose a stochastic order based on this measure.     

Estimation of finite population mean in simple and stratified random sampling using two auxiliary variables

We propose an improved difference-cum-exponential ratio type estimator for estimating the finite population mean in simple and stratified random sampling using two auxiliary variables. We obtain properties of the estimators up to first order of approximation. The proposed class of estimators is found to be more efficient than the usual sample mean estimator, ratio estimator, exponential ratio type estimator, usual two difference type estimators, Rao (1991) estimator, Gupta and Shabbir (2008) estimator, and Grover and Kaur (2011) estimator. We use six real data sets in simple random sampling and two in stratified sampling for numerical comparisons.     

特征零域上的广义Cartan型W类李超代数

本文构造了特征零的域F上的广义Cartan型W类李超代数及其子代数Wd,并给出了Wd是单李超代数的充分必要条件。     

瞿昙寺历史及其建筑艺术

位于青海省乐都县瞿昙乡的瞿昙寺 ,是由三罗喇嘛在洪武二十五年 (1392年 )创建 ,后经永乐、洪熙、宣德三代大规模扩建。寺院由围墙、山门、碑亭、佛塔、金刚殿、瞿昙殿、宝光殿、隆国殿、大小钟鼓楼、壁画、回廊、三世殿、护法殿等组成 ,是一座规模宏大的宫廷式风格的藏传佛教寺院     

平实的深刻:论朱自清的《新诗杂话》

《新诗杂话》是朱自清先生研究中国现代新诗的一部著作。朱先生在这部诗学著作中,坚守诗歌文本的分析,坚持对诗歌意义进进缜密详实的“解读”,并认为这是新诗研究的基础。论及范围宽泛,富于创见性,是这部著作的显著特点。以“解诗”为出发点,《新诗杂话》探讨了诗与感觉、诗与哲理、诗与幽默、抗战与诗、诗与建国、诗的形式、歌谣与译诗、新诗的进步性、新诗的发展趋势等诸多关系,平实而深刻,精确而简洁,“将深化为浅”是《新诗杂话》最富于生机与活力的语言叙述原则。     

论刑事简易程序被告人的选择权

刑事简易程序被告人的选择权是指被告人享有独立自主的决定是否启动或者变更刑事简易程序的权利。刑事简易程序被告人的选择权是被告人所享有的一项重要的诉讼权利,大多数国家的刑事诉讼法对此均有规定。我国现行刑事诉讼法并没有赋予被告人自主选择是否启动或者变更简易程序的权利。我国的刑事立法应当明确赋予简易程序被告人的选择权,并在实践中切实保障这一权利的实现。     

On tail behaviour of kth upper order statistics under fixed and random sample sizes via tail equivalence

For a fixed positive integer k, limit laws of linearly normalized kth upper order statistics are well known. In this article, a comprehensive study of tail behaviours of limit laws of normalized kth upper order statistics under fixed and random sample sizes is carried out using tail equivalence which leads to some interesting tail behaviours of the limit laws. These lead to definitive answers about their max domains of attraction. Stochastic ordering properties of the limit laws are also studied. The results obtained are not dependent on linear norming and apply to power norming as well and generalize some results already available in the literature. And the proofs given here are elementary.     

苏轼“平淡自然”论及其艺术审美理想

20世纪以来，关于苏轼平淡自然艺术理论研究的文章数量众多，但基本是围绕着苏轼晚年趋于平淡自然风格的追求与他大量的“和陶诗”来谈的。实际上苏轼的“平淡自然”艺术思想有着独特而丰富的内涵，这里从时代风尚、艺术创作、人格境界、情感守护以及人生艺术化等几个方面论述苏轼的“平淡自然”的艺术思想。