Recurrence relations for single and product moments of progressively Type-II censored order statistics from a generalized half-logistic distribution with application to inference

In this paper, we establish several recurrence relations for the single and product moments of progressively Type-II right-censored order statistics from a generalized half-logistic distribution. The use of these relations in a systematic recursive manner enables the computation of all the means, variances, and covariances of progressively Type-II right-censored order statistics from the generalized half-logistic distribution for all sample sizes n, effective sample sizes m, and all progressive censoring schemes (R ₁, …, R _m ). The results established here generalize the corresponding results for the usual order statistics due to Balakrishnan and Sandhu [Recurrence relations for single and product moments of order statistics from a generalized half-logistic distribution with applications to inference, J. Stat. Comput. Simul. 52 (1995), pp. 385–398.]. The moments so determined are then utilized to derive the best linear unbiased estimators of the scale and location–scale parameters of the generalized half-logistic distribution. The best linear unbiased predictors of censored failure times are discussed briefly. Finally, a numerical example is presented to illustrate the inferential method developed here.     

On the Global Convergence of Stochastic Fictitious Play

We establish global convergence results for stochastic fictitious play for four classes of games: games with an interior ESS, zero sum games, potential games, and supermodular games. We do so by appealing to techniques from stochastic approximation theory, which relate the limit behavior of a stochastic process to the limit behavior of a differential equation defined by the expected motion of the process. The key result in our analysis of supermodular games is that the relevant differential equation defines a strongly monotone dynamical system. Our analyses of the other cases combine Lyapunov function arguments with a discrete choice theory result: that the choice probabilities generated by any additive random utility model can be derived from a deterministic model based on payoff perturbations that depend nonlinearly on the vector of choice probabilities.     

西藏人口老龄化的法律应对：积极老龄化视域下的分析框架

西藏在2022以后步入老龄化社会,其现有老龄化的进程和速度要比全国平均水平缓慢。在积极老龄化的视阈下,充分发挥地方自治立法的优势,制定专门针对西藏社会老龄人口的地方性规章,完善相关的地方性立法,从而为应对老龄化带来的社会经济等方面的挑战,构建人人共享、不分年龄的西藏社会奠定坚实的法律基础。     

Baker- Lin-Huang Type Bivariate Distributions Based on Order Statistics

Baker (2008 Baker, R. (2008). An order-statistics-based method for constructing multivariate distributions with fixed marginals. J. Multivariate Anal. 99: 23122327.[Crossref], [Web of Science ®] , [Google Scholar]) introduced a new class of bivariate distributions based on distributions of order statistics from two independent samples of size n. Lin and Huang (2010 Lin, G.D., Huang, J.S. (2010). A note on the maximum correlation for Baker’s bivariate distributions with fixed marginals. J. Multivariate Anal. 101: 22272233.[Crossref], [Web of Science ®] , [Google Scholar]) discovered an important property of Baker’s distribution and showed that the Pearson’s correlation coefficient for this distribution converges to maximum attainable value, i.e., the correlation coefficient of the Fréchet upper bound, as n increases to infinity. Bairamov and Bayramoglu (2013 Bairamov, I., Bayramoglu, K. (2013). From Huang-Kotz distribution to Baker’s distribution. J. Multivariate Anal. 113: 106115.[Crossref], [Web of Science ®] , [Google Scholar]) investigated a new class of bivariate distributions constructed by using Baker’s model and distributions of order statistics from dependent random variables, allowing higher correlation than that of Baker’s distribution. In this article, a new class of Baker’s type bivariate distributions with high correlation are constructed based on distributions of order statistics by using an arbitrary continuous copula instead of the product copula.     

宏观经济政策:递归和向量自回归模型的开创研究与应用——2011年诺贝尔经济学奖得主的学术贡献综述

2011年诺贝尔经济学奖授予托马斯·J·萨金特和克里斯托弗·A·西姆斯两位经济学家,以表彰他们在研究宏观经济政策之间的相互作用及其影响方面所作出的理论贡献。简要介绍他们的学术经历、主要学术著作与研究论文,重点阐述他们在分析宏观经济政策方面所采用的研究方法、分析框架与递归和向量自回归模型的发展与实践应用,并对他们的学术贡献进行简要的评价,以期探索对宏观经济政策实施有意义的启示。     

“肯定列表制度”对中国输日农产品的经济效应

通过运用局部均衡模型研究发现,“肯定列表制度”在短期会使中国贸易福利减少,贸易条件恶化,存在负经济效应;在中长期则有利于出口企业提高技术水平,存在贸易促进作用。应用中国农产品最新出口月度统计数据进行实证分析,并选取代表产品——烤鳗,用计量经济学方法和EVIEWS软件建立多元线性回归模型。在剔除相关因素的影响后,“肯定列表制度”的实施使中国对目烤鳗出口数量减少607．6361个单位,短期负面影响显著。     

Clustering of gamma-ray bursts through kernel principal component analysis

We consider the problem related to clustering of gamma-ray bursts (from “BATSE” catalogue) through kernel principal component analysis in which our proposed kernel outperforms results of other competent kernels in terms of clustering accuracy and we obtain three physically interpretable groups of gamma-ray bursts. The effectivity of the suggested kernel in combination with kernel principal component analysis in revealing natural clusters in noisy and nonlinear data while reducing the dimension of the data is also explored in two simulated data sets.     

The aging male in the 21st century

Background.?Prostate cancer incidence varies significantly among different ethnic groups. However, the report concerning the clinical outcome after radical prostatectomy (RP) in the low incidence Asian population is still limited. We aimed to compare the clinical outcome in patient treated with RP among different ethnic groups and to identify significant prognostic factors in Taiwanese patients.

Methods.?A total of 341 patients with clinical localized prostate cancer undergoing curative RP in three medical centers in Taiwan were included in this study. Ethnic group comparison was performed using the CaPSURE, SEARCH databases from United States (US) and one large European series. The Kaplan–Meier analysis and Cox proportional hazard model were used to identify significant predictors for prostate-specific antigen (PSA) recurrence.

Results.?Compared to the Caucasian white population in the US and Europe studies, the Taiwanese population have higher age at surgery and higher pre-operative PSA level. With mean and median follow-up of 39.1 months and 31.0 months (range 5–120 months), 127 men (37.2%) had PSA recurrence which was significant higher than the Western series. Significant predictors for PSA recurrence identified in the post-operative overall model were PSA level, pathological Gleason Score, pathological tumor stage and lymph node metastasis.

Conclusions.?The clinical outcome of Taiwanese male with prostate cancer post-RP appears inferior to the Western country, which is largely due to delay surgery at higher PSA level. Earlier diagnosis and treatment may improve the cancer control of RP.     

CO-LEADERSHIP AND SOLO LEADERSHIP IN EDUCATION FOR SOCIAL WORK WITH GROUPS

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