THE CONVERGENCE RATE OF SEQUENTIAL FIXED-WIDTH CONFIDENCE INTERVALS FOR REGULAR FUNCTIONALS

Let X₁X₂,.be i.i.d. random variables and let U_n= (n r)^-1S?^(n,r) h (X_i1,., X_ir,) be a U-statistic with EU_n= v, v unknown. Assume that g(X₁) =E[h(X₁,.,X_r) - v |X₁]has a strictly positive variance s?². Further, let a be such that φ(a) - φ(-a) =α for fixed α, 0 < α < 1, where φ is the standard normal d.f., and let S²_n be the Jackknife estimator of n Var U_n. Consider the stopping times N(d)= min {n: S²_n: + n^-1≤²a^-2},d > 0, and a confidence interval for v of length 2d,of the form I_n,d= [U_n,-d, Un + d]. We assume that Var U_n is unknown, and hence, no fixed sample size method is available for finding a confidence interval for v of prescribed width 2d and prescribed coverage probability α Turning to a sequential procedure, let I_N(d),d be a sequence of sequential confidence intervals for v. The asymptotic consistency of this procedure, i.e. lim_{d → 0}P(v ∈ I_N(d),d)=α follows from Sproule (1969). In this paper, the rate at which |P(v ∈ I_N(d),d) converges to α is investigated. We obtain that |P(v ∈ I_N(d),d) - α| = 0 (d^{1/2-(1+k)/2(1+m)}), d → 0, where K = max {0,4 - m}, under the condition that E|h(X₁, X_r)|^m < ∞m > 2. This improves and extends recent results of Ghosh & DasGupta (1980) and Mukhopadhyay (1981).     

论鱼文化的表现领域

鱼类的自然属性一旦和人类相联系就有了社会属性 ,两者的结合即产生了鱼文化。鱼文化在我国的历史上及人们的饮食、风俗、美术等方面都有各种表现。在表现为各种生熟海鲜的同时反映出了鱼的馔食文化 ,在表现为各种鱼祭鱼信仰的同时演化出了鱼的风俗文化 ,在表现为各种图画造型的同时展现出了鱼的美术文化。探讨鱼文化的表现领域、规律属性等 ,对于挖掘民俗文化、建设和丰富人们的文化生活等 ,都有重要的文化史价值和现实意义     

New regression model with four regression structures and computational aspects

A new general class of exponentiated sinh Cauchy regression models for location, scale, and shape parameters is introduced and studied. It may be applied to censored data and used more effectively in survival analysis when compared with the usual models. For censored data, we employ a frequentist analysis for the parameters of the proposed model. Further, for different parameter settings, sample sizes, and censoring percentages, various simulations are performed. The extended regression model is very useful for the analysis of real data and could give more adequate fits than other special regression models.     

职业教育与普通高中教育收入回报之差异

讨论教育回报时,职业教育和普通高中教育之间所存在的实质性区别往往被学者忽略。本文使用中国家庭动态调查2010年基线调查数据来分析职业教育与普通高中教育在收入回报上的差异。结果表明,在控制教育类型的选择性因素和个人工作经验等变量的情况下,接受职业教育者比接受普通高中教育者有更多的收入回报。不过,收入回报的差异随教育世代而变化,改革开放早期接受职业教育者比接受普通高中教育者拥有较高的回报, 1990年后接受职业教育者的收入回报已没有优势。本文认为,职业教育有回报优势源自于他们在高等教育供给不足的特定历史背景下更有可能从事专业技术性工作,而职业教育回报优势的消失则是因为高校扩招所带来的职业教育文凭价值相对降低。     

Pair‐copula constructions for non‐Gaussian DAG models

We propose a new type of multivariate statistical model that permits non‐Gaussian distributions as well as the inclusion of conditional independence assumptions specified by a directed acyclic graph. These models feature a specific factorisation of the likelihood that is based on pair‐copula constructions and hence involves only univariate distributions and bivariate copulas, of which some may be conditional. We demonstrate maximum‐likelihood estimation of the parameters of such models and compare them to various competing models from the literature. A simulation study investigates the effects of model misspecification and highlights the need for non‐Gaussian conditional independence models. The proposed methods are finally applied to modeling financial return data. The Canadian Journal of Statistics 40: 86–109; 2012 © 2012 Statistical Society of Canada     

Sexual behavior of clients with street prostitutes in Camden,NJ

This paper describes the sexual behaviors of 101 male clients with female street prostitutes. An earlier study (Freund, Leonard, & Lee, 1989) was limited to sexual behaviors of street prostitutes themselves. Interviews were given by 62% of the clients approached. The clients were mature men (mean = 39.8 years), long‐term residents of Camden, NJ (mean = 19.2 years), and currently or previously married (78/101). Racial composition was similar to the general population of the area, 65% white, 33% black, 2% Asian. Clients reported a mean of 5.3 years of using prostitution, with 81% having been clients of Camden prostitutes for more than a year. Most were regular (or repeat) clients; 93% monthly or more frequently, and 63% weekly or more frequently. About one‐half (55%) reported sex with the same prostitute or same small group of prostitutes. The primary meeting place was the street (78/101) and 43% of the sexual encounters took place in the clients' cars. Ejaculation into the vagina was most frequently reported (43/101), followed by ejaculation into the mouth (39/101) Reports of condom use were substantial; 72% for vaginal and 33% for oral intercourse (mean = 58% of encounters).     

李白的货币思想

货币是应人类商品交换的需要而产生的一种工具.人类创造这种工具的目的在用其为自己的利益服务.货币交换也是一种游戏,人们几乎在开展货币交换时,就在制定相应的游戏规则.李白深刻揭示货币运行的规律,并遵循交换的"游戏" 规则,从多方面利用货币为人类服务:或充分利用货币的使用价值以福利人;或积极发挥货币交换的职能作用以愉悦人;或努力促进货币循环流通的运动以激励人;或深刻揭示货币充当等价商品的本质以沟通人.     

毛泽东率先创建农村革命根据地原因再认识

毛泽东之所以能够领导秋收起义部队率先创建第一个农村革命根据地 ,是由于他对处于低潮的革命形势估计较客观 ,特别注重正规革命军队的保存、建设和发展 ,并预先谋划了起义万一失败的退路———上山     

A generalization of Jeffreys' rule for non regular models

ABSTRACT

We propose a generalization of the one-dimensional Jeffreys' rule in order to obtain non informative prior distributions for non regular models, taking into account the comments made by Jeffreys in his article of 1946. These non informatives are parameterization invariant and the Bayesian intervals have good behavior in frequentist inference. In some important cases, we can generate non informative distributions for multi-parameter models with non regular parameters. In non regular models, the Bayesian method offers a satisfactory solution to the inference problem and also avoids the problem that the maximum likelihood estimator has with these models. Finally, we obtain non informative distributions in job-search and deterministic frontier production homogenous models.     

Ban Estimation for Chi-Square Test Criteria in Categorical Data

This expository paper describes some recent work that further develops the theory of BAN estimators and the related chi-scuare test statistics.The extensions are in several directions: (a) the class of regular estimators is broadened by permitting extraneous random elements; (b) more general models are permitted under the constraint equations specification; and (c) BAN estimators are defined for general models combining features of two types of specification.In particular, WLS estimators are shown to be BAN.