Bayesian inference using product of spacings function for Progressive hybrid Type-I censoring scheme

This article is devoted to the development of product of spacings estimator for a Progressive hybrid Type-I censoring scheme with binomial removals. The experimental units are assumed to follow inverse Lindley distribution. We propose a Bayes estimator of associated scale parameter based on the product of spacings function and simultaneously compare it with that obtained under a usual Bayesian estimation procedure. The estimators are obtained under the squared error loss function along with corresponding HP intervals evaluated by using the Markov chain Monte-Carlo technique. The classical product of spacings estimator has also been derived and compared with the maximum likelihood estimator in addition to 95% average asymptotic confidence intervals. The applicability of the proposed methods is demonstrated by analysing a real data of guinea pigs affected with tuberculosis for the considered censoring scheme.     

水平井注采井网合理井间距研究

为解决水平井注采井网合理井间距问题,从水平井渗流理论出发,运用拟三维思想,采用保角变换的方法,利用势叠加原理推导了水平井注采井网稳态压力分布公式,得到水平井注采井网渗流场图。根据水平井单井控制面积与井间距的关系,推导了水平井井网井间距计算公式。分析认为：水平井井网井间区域中心附近存在难动用区,井间区域内可动用面积大小与注采井距、水平段长度、井间距有关。在此基础上,提出了水平井井网合理井间距的确定方法,对水平井注采井网在油田开发中的应用,特别是开发方案的设计提供了理论基础。     

Does birth spacing affect personality?

This paper studies the causal effect of birth spacing (i.e., the age difference between siblings) on personality traits. We use longitudinal data from a large British cohort which has been followed from birth until age 42. Following earlier studies, we employ miscarriages between the first and second child as an instrument for birth spacing. The results show that a larger age gap between siblings negatively affects personality traits of the youngest child in two-child households. This result sheds a first light on the causal effects of birth spacing on personality traits.     

向心透平叶轮振动频率的有限元分析

应用ANSYS有限元软件对一个小型燃气轮机向心涡轮的叶轮固有频率进行了数值分析．基于有限元方法建立了叶轮的振动方程，对方程中非线性的初应力刚度矩阵与离心刚度矩阵采用了线性简化，应用Block—Lanzos法求解振动方程的特征值．结果表明，当叶轮转速上升时，旋转柔化效应使叶轮的低阶振动频率，尤其是第1阶弯振频率不断下降，到某个转速时出现“零频”现象，原高阶静频依次成为低阶频率；第1阶振型发生变化，但是基频大小基本没有变化；整体式叶轮主要振动形式是叶轮的弯扭振动．     

Asymptotic normality of generalized maximum spacing estimators for multivariate observations

In this paper, the maximum spacing method is considered for multivariate observations. Nearest neighbor balls are used as a multidimensional analogue to univariate spacings. A class of information-type measures is used to generalize the concept of maximum spacing estimators of model parameters. Asymptotic normality of these generalized maximum spacing estimators is proved when the assigned model class is correct, that is, the true density is a member of the model class.     

丹东重点开发开放试验区发展策略研究

以南水北调中线一期工程下穿京九铁路隧洞工程为背景,以铁路轨道静态容许偏差管理值和容许高低倾斜值为基础,结合工程特点,通过对比经验公式及数值计算结果,提出了三孔小净距隧洞下穿铁路干线地表沉降控制标准,并采用总控制指标与分阶段控制指标相结合的方式建立监控量测管理标准。实际工程通过采用系列控制措施,施工全过程可控,实测地表沉降小于控制标准值,保证了铁路正常运营安全、隧洞施工安全和施工质量。     

On the Estimation of Parameters of Kumaraswamy-G Distributions

Cordeiro and de Castro proposed a new family of generalized distributions based on the Kumaraswamy distribution (denoted as Kw-G). Nadarajah et al. showed that the density function of the new family of distributions can be expressed as a linear combination of the density of exponentiated family of distributions. They derived some properties of Kw-G distributions and discussed estimation of parameters using the maximum likelihood (ML) method. Cheng and Amin and Ranneby introduced a new method of estimating parameters based on Kullback–Leibler divergence (the maximum spacing (MSP) method). In this article, the estimates of parameters of Kw-G distributions are obtained using the MSP method. For some special Kw-G distributions, the new estimators are compared with ML estimators. It is shown by simulations and a real data application that MSP estimators have better properties than ML estimators.     

Addendum to fitting polynomials to main effects in multi factor experiments: A note concerning polynomial coefficients when all factors are quantitative

When all factors are quantitative, cell means may be expressed as a polynomial function of products of powers of the associated quantitative classification variables. Existence and uniqueness of this polynomial is established for unbalanced data with unequal spacing for no missing cells. The relationship between the coefficients of this polynomial and the main effects polynomials are derived for main effects which are arbitrary weighted averages of the cell means.     

低渗透油藏考虑压裂的合理注采井距研究

基于点源点汇渗流理论，推导了低渗透油藏考虑压裂措施的注采井间压力梯度分布方程，结合启动压力梯度 与低渗透油藏渗透率关系式提出了合理注采井距计算方法，并结合低渗透油藏实例，进行了注采井间压力梯度影响因 素分析，得到了低渗透油藏合理注采井距理论图版，验证了该方法的可靠性。结果表明：在渗透率、注采压差和压裂裂 缝长度一定的情况下，存在合理的注采井距，且合理井距随渗透率、注采压差和裂缝半长的增加而增大；认为采取压裂 等增产措施，有利于建立起有效的驱替压力系统，能较大幅度地提高合理注采井距。推导出的考虑压裂的注采井间压 力梯度表达式能够较准确地反映真实地层驱替压力系统，研究结果对合理开发低渗透油藏具有一定的实际意义。     

On goodness of fit tests based on spacings for type ii censored samples

A class of tests based on spacings is obtained for milticensored samples. Their asymptotic null as well as alternative distributions are obtained.