Comparison of Interval Estimators of Pr(X < Y) in the Two-parameter Exponential Distribution

We consider confidence intervals for the stress–strength reliability Pr(X< Y) in the two-parameter exponential distribution. We have derived the Bayesian highest posterior density interval using non-informative prior distributions. We have compared its performance with the intervals based on the generalized pivot variable intervals in terms of their coverage probabilities and expected lengths. Our simulation study shows that the Bayesian interval performs better according to the criteria used, especially when the sample sizes are very small. An example is given.     

安大简《国风》的次序及“侯风”试解

安大简《国风》并非全本,各风次序与今本《诗经》不尽相同,但其相对次序值得重视。在安大简中,《秦》在《魏》前,与《左传》相合;在安大简中,《侯》在《魏》前,从其实际内容看,相当于《魏》在《唐》前,与传世古书的次序相合。有一种可能性的解释是《侯》即《唐》,安大简中关于《魏》《唐》的实际相对次序与传世古书并无二致,但安大简的抄写者误将“侯(唐)”“魏”的风名分别安到《魏》和《侯(唐)》之上。     

A new regression model for bimodal data and applications in agriculture

We define the odd log-logistic exponential Gaussian regression with two systematic components, which extends the heteroscedastic Gaussian regression and it is suitable for bimodal data quite common in the agriculture area. We estimate the parameters by the method of maximum likelihood. Some simulations indicate that the maximum-likelihood estimators are accurate. The model assumptions are checked through case deletion and quantile residuals. The usefulness of the new regression model is illustrated by means of three real data sets in different areas of agriculture, where the data present bimodality.     

A new estimator of Kullback–Leibler information and its application in goodness of fit tests*

We propose here a general statistic for the goodness of fit test of statistical distributions. The proposed statistic is constructed based on an estimate of Kullback–Leibler information. The proposed test is consistent and the limiting distribution of the test statistic is derived. Then, the established results are used to introduce goodness of fit tests for the normal, exponential, Laplace and Weibull distributions. A simulation study is carried out for examining the power of the proposed test and to compare it with those of some existing procedures. Finally, some illustrative examples are presented and analysed, and concluding comments are made.     

Progressive censoring with fixed censoring times

In this paper, we revisit the progressive Type-I censoring scheme as it has originally been introduced by Cohen [Progressively censored samples in life testing. Technometrics. 1963;5(3):327–339]. In fact, original progressive Type-I censoring proceeds as progressive Type-II censoring but with fixed censoring times instead of failure time based censoring times. Apparently, a time truncation has been added to this censoring scheme by interpreting the final censoring time as a termination time. Therefore, not much work has been done on Cohens's original progressive censoring scheme with fixed censoring times. Thus, we discuss distributional results for this scheme and establish exact distributional results in likelihood inference for exponentially distributed lifetimes. In particular, we obtain the exact distribution of the maximum likelihood estimator (MLE). Further, the stochastic monotonicity of the MLE is verified in order to construct exact confidence intervals for both the scale parameter and the reliability.     

On the power of goodness-of-fit tests for the exponential distribution under progressive Type-II censoring

The aim of this article is to review existing goodness-of-fit tests for the exponential distribution under progressive Type-II censoring and to provide some new ideas and adjustments. In particular, we consider two-parameter exponentially distributed random variables and adapt the proposed test procedures to our scenario if necessary. Then, we compare their power by an extensive simulation study. Furthermore, we propose five new test procedures that provide reasonable alternatives to those already known.     

Quantile regression for large-scale data via sparse exponential transform method

In recent decades, quantile regression has received much more attention from academics and practitioners. However, most of existing computational algorithms are only effective for small or moderate size problems. They cannot solve quantile regression with large-scale data reliably and efficiently. To this end, we propose a new algorithm to implement quantile regression on large-scale data using the sparse exponential transform (SET) method. This algorithm mainly constructs a well-conditioned basis and a sampling matrix to reduce the number of observations. It then solves a quantile regression problem on this reduced matrix and obtains an approximate solution. Through simulation studies and empirical analysis of a 5% sample of the US 2000 Census data, we demonstrate efficiency of the SET-based algorithm. Numerical results indicate that our new algorithm is effective in terms of computation time and performs well for large-scale quantile regression.     

日本电信价格规制评析

日本政府在电信民营化和电信规制改革的推进过程中,充分吸收了欧美等国电信价格规制经验。经过多次法律调整和制度完善,逐渐形成了现行的以基础电信服务、指定电信服务和特定电信服务等公共电信服务为规制对象的价格规制体系。在实行价格上限规制的基础上,日本电信市场逐渐形成了全方位竞争的市场格局。     

山东省粮食生产波动影响因素分析

文章在考察山东省1983～2004年粮食生产变化情况的基础上,用基于时间序列的计量经济模型分析了影响山东省粮食生产的因素。认为山东省的粮食生产波动主要是由生产要素投入、市场、气候以及政策等因素引起;模型的回归基本上反映了各个变量对粮食产量的影响程度,其中生产要素投入中粮食作物播种面积的影响程度最大。     

我国破产分配的顺位设计

破产分配中的顺位设计关系着具体债权人的债权实现的可能和程度。破产分配中顺位法定原则是法律的必然选择 ,它保证了破产制度中公平受偿权的实现。然而 ,我国法律规定的顺位 ,使一般破产债权人失去了参加破产程序的兴趣 ,影响了破产法功能的发挥。通过对现行顺位设计的完善 ,保证有担保债权的优先地位 ,限制职工工资和劳保费用的优先受偿 ,取消税收的优先权 ,规定特殊情况下债权及劣后债权的处理 ,是顺应市场经济对破产法要求的选择