A new Bayesian wavelet thresholding estimator of nonparametric regression

The methods of estimation of nonparametric regression function are quite common in statistical application. In this paper, the new Bayesian wavelet thresholding estimation is considered. The new mixture prior distributions for the estimation of nonparametric regression function by applying wavelet transformation are investigated. The reversible jump algorithm to obtain the appropriate prior distributions and value of thresholding is used. The performance of the proposed estimator is assessed with simulated data from well-known test functions by comparing the convergence rate of the proposed estimator with respect to another by evaluating the average mean square error and standard deviations. Finally by applying the developed method, density function of galaxy data is estimated.     

Flexible objective Bayesian linear regression with applications in survival analysis

We study objective Bayesian inference for linear regression models with residual errors distributed according to the class of two-piece scale mixtures of normal distributions. These models allow for capturing departures from the usual assumption of normality of the errors in terms of heavy tails, asymmetry, and certain types of heteroscedasticity. We propose a general non-informative, scale-invariant, prior structure and provide sufficient conditions for the propriety of the posterior distribution of the model parameters, which cover cases when the response variables are censored. These results allow us to apply the proposed models in the context of survival analysis. This paper represents an extension to the Bayesian framework of the models proposed in [16]. We present a simulation study that shows good frequentist properties of the posterior credible intervals as well as point estimators associated to the proposed priors. We illustrate the performance of these models with real data in the context of survival analysis of cancer patients.     

Bayesian elastic net single index quantile regression

Single index model conditional quantile regression is proposed in order to overcome the dimensionality problem in nonparametric quantile regression. In the proposed method, the Bayesian elastic net is suggested for single index quantile regression for estimation and variables selection. The Gaussian process prior is considered for unknown link function and a Gibbs sampler algorithm is adopted for posterior inference. The results of the simulation studies and numerical example indicate that our propose method, BENSIQReg, offers substantial improvements over two existing methods, SIQReg and BSIQReg. The BENSIQReg has consistently show a good convergent property, has the least value of median of mean absolute deviations and smallest standard deviations, compared to the other two methods.     

Objective Bayesian inference for the ratio of the scale parameters of two Weibull distributions

The Weibull distribution is widely used due to its versatility and relative simplicity. In our paper, the non informative priors for the ratio of the scale parameters of two Weibull models are provided. The asymptotic matching of coverage probabilities of Bayesian credible intervals is considered, with the corresponding frequentist coverage probabilities. We developed the various priors for the ratio of two scale parameters using the following matching criteria: quantile matching, matching of distribution function, highest posterior density matching, and inversion of test statistics. One particular prior, which meets all the matching criteria, is found. Next, we derive the reference priors for groups of ordering. We see that all the reference priors satisfy a first-order matching criterion and that the one-at-a-time reference prior is a second-order matching prior. A simulation study is performed and an example given.     

基于认知理论的二语听力理解研究

二语听力理解是一个复杂的过程,受多种认知因素的影响。本研究考察了兴趣和背景知识这两个认知因素在听力理解中所起的作用以及性别对以上关系可能产生的影响。研究结果表明,兴趣和背景知识具有相关性,两者共同促进听力理解,但背景知识对听力理解的影响更大。另外,性别也影响着兴趣、背景知识和听力理解之间的关系。性别差异明显带来了兴趣和知识结构的差异,这些差异最终导致听者在听力理解上的不同表现。     

试论孔子"为政先礼"的治国方略

孔子生活时代 ,“礼”的政治含义和思想内涵是“礼制”、“礼仪”、“礼治”、“礼俗”。孔子建立“礼”治社会的主张和措施是“礼以教人”、当权者率先“好礼”、“克己复礼”。孔子对“礼制”的创新和改革表现为“损益”西周以来的礼制 ,扩大“礼治”的社会基础 ,向传统的“礼教”提出挑战     

互联网信息作为现有技术的界定

由于互联网信息的不稳定性和多样性,对于如何在现有法律框架下将互联网信息纳入现有技术的范围存有诸多困难,在分析互联网信息作为现有技术特征的基础上,该文认为,应从以下三个方面将互联网信息界定为现有技术：在公开的时间上,主要应通过建立“豁免网站”名单来确定;在公开方式和地域上,完全可以将互联网信息作为其他的公开方式;在公众可获取性上,应在对互联网信息内容分类的基础上进行区别考虑。同时,对于其他特殊情况则应进行个案分析。