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Efficient estimation of distributed lag model in presence of heteroscedasticity of unknown form: A Monte Carlo evidence 存在未知形式异方差的分布式滞后模型的有效估计:蒙特卡罗证据
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1538596
Abdul Majid, M. Aslam, Saima Altaf
Abstract In the presence of heteroscedasticity, the ordinary least-squares (OLS) estimator remains no more efficient while the popular Almon technique is being considered for a finite distributed lag model (DLM). The available literature proposes few adaptive estimators which are more efficient than the OLS estimator when there is heteroscedasticity of unknown form. This study suggests the similar adaptation combined with the Almon technique in order to get more efficient estimator of vector of lag coefficients in the DLM. Performance of the proposed estimator has been evaluated through the Monte Carlo simulations. The simulation results show an attractive performance of the proposed estimator in terms of efficiency.
摘要在存在异方差的情况下,普通最小二乘(OLS)估计器不再有效,而对于有限分布滞后模型(DLM),则考虑了流行的Almon技术。现有文献提出了一些自适应估计量,当存在未知形式的异方差时,这些估计量比OLS估计量更有效。本研究建议将类似的自适应与Almon技术相结合,以获得DLM中滞后系数向量的更有效估计量。通过蒙特卡洛模拟对所提出的估计器的性能进行了评估。仿真结果表明,所提出的估计器在效率方面具有很好的性能。
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引用次数: 8
(ζ, δ(µ))-closed sets in strong generalized topological spaces 强广义拓扑空间中的(ζ,δ(µ))-闭集
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1517428
C. Boonpok
Abstract This paper deals with the concepts of -sets and -closed sets in a strong generalized topological space and investigate properties of several low separation axioms of strong generalized topologies constructed by the families of these sets. Some properties of - and - strong generalized topological spaces will be given. Finally, several characterizations of weakly -continuous functions are discussed.
讨论了强广义拓扑空间中的-集和-闭集的概念,研究了由这些集合的族构造的强广义拓扑的几个低分离公理的性质。给出了强、弱广义拓扑空间的一些性质。最后,讨论了弱连续函数的几个性质。
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引用次数: 1
Optical solitons in a power-law media with fourth-order dispersion by three integration methods 四阶色散幂律介质中光孤子的三种积分方法
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/23311835.2018.1434924
J. Manafian
In this paper, the extended trial equation method, the -expansion method and the -expansion method are used in examining the analytical solution of the non-linear Schrödinger equation (NLSE) with fourth-order dispersion. The proposed methods are based on the integration method and a wave transformation. The NLSE with fourth-order dispersion is an equation that arises in soliton radiation, soliton communications with dispersion caused by the hindrance in presence of higher order dispersion terms. We successfully get some solutions with the kink structure.
本文采用扩展试方程法、展开法和展开法研究了四阶色散非线性Schrödinger方程(NLSE)的解析解。所提出的方法是基于积分法和波变换。具有四阶色散的NLSE是在孤子辐射中出现的方程,在高阶色散项存在的阻碍下,孤子通信具有色散。我们成功地得到了一些扭结结构的解。
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引用次数: 9
Maximum nullity of some Cayley graphs 一些Cayley图的最大零度
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1462658
E. Vatandoost, Y. Golkhandy Pour
Abstract Recently, the nullity, the algebraic multiplicity of the number zero in the spectrum of the adjacency matrix, of a molecular graph has received a lot of attention as it has a number of direct applications in organic chemistry. In this regard, many researchers have been trying to find an upper or lower bound for the maximum nullity (minimum rank), (), for a graph . In this paper, using a well-known result, which presents the spectrum of a Cayley graph in terms of irreducible characters of the underlying group, and using representation and character of groups, we give a lower bound for the maximum nullity of Cayley graph, , where is a cyclic group, or such that is a cyclic group and is an arbitrary finite group, for , with determine the spectrum of Cayley graphs.
摘要近年来,分子图邻接矩阵谱中数字为零的代数多重性由于在有机化学中有许多直接的应用而受到了广泛的关注。在这方面,许多研究者一直在试图寻找图的最大零度(最小秩)()的上界或下界。本文利用下面群的不可约特征来表示Cayley图的谱的一个著名结果,利用群的表示和特征,给出Cayley图的极大零值的下界,其中是一个循环群,或者是一个循环群并且是任意有限群,因为,用确定Cayley图的谱。
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引用次数: 1
Generalized integral inequalities for fractional calculus 分数阶微积分的广义积分不等式
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/23311835.2018.1426205
M. Samraiz, S. Iqbal, J. Pečarić
In this paper, we present a variety of integral inequalities in and spaces for the integral operator involving generalized Mittag-Leffler function in its kernel, Hilfer fractional derivative, generalized Riemann-Liouville and Riemann-Liouville k-fractional integral operators.
本文给出了涉及核中广义Mittag-Leffler函数、Hilfer分数阶导数、广义Riemann-Liouville和Riemann-Liouville k分数阶积分算子的积分算子及其空间中的各种积分不等式。
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引用次数: 3
On queue with two types of general heterogeneous service with Bernoulli feedback 一类具有伯努利反馈的两类一般异构服务的队列
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/23311835.2018.1433577
Snigdhayan Mahanta, G. Choudhury
Abstract This paper deals with the steady-state behavior of an M/G/1 queue with two types of general heterogeneous service to the arriving customers and Bernoulli feedback. We first derive the steady-state probability generating functions for the queue size distributions at a random epoch as well as at a departure epoch. Next, we derive the mean queue size at random epoch and the mean waiting time. Also, we obtain the mean busy period of this model and discuss some important particular cases.
摘要研究了具有两类一般异构服务和伯努利反馈的M/G/1队列的稳态行为。首先导出了随机时刻和出发时刻队列大小分布的稳态概率生成函数。其次,我们导出了随机epoch的平均队列大小和平均等待时间。得到了该模型的平均繁忙期,并讨论了一些重要的特殊情况。
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引用次数: 1
Improved methods for estimating fraction of missing information in multiple imputation. 改进了多重插补中缺失信息部分的估计方法。
Q4 MATHEMATICS Pub Date : 2018-01-01 Epub Date: 2018-11-23 DOI: 10.1080/25742558.2018.1551504
Qiyuan Pan, Rong Wei

Multiple imputation (MI) has become the most popular approach in handling missing data. Closely associated with MI, the fraction of missing information (FMI) is an important parameter for diagnosing the impact of missing data. Currently γ m , the sample value of FMI estimated from MI of a limited m, is used as the estimate of γ0, the population value of FMI, where m is the number of imputations of the MI. This FMI estimation method, however, has never been adequately justified and evaluated. In this paper, we quantitatively demonstrated that Em ) decreases with the increase of m so that Em ) > γ0 for any finite m. As a result γ m would inevitably overestimate γ0. Three improved FMI estimation methods were proposed. The major conclusions were substantiated by the results of the MI trials using the data of the 2012 Physician Workflow Mail Survey of the National Ambulatory Medical Care Survey, USA.

多重插补(MI)已成为处理缺失数据最流行的方法。与MI密切相关的是,缺失信息的分数(FMI)是诊断缺失数据影响的重要参数。目前,根据有限m的MI估计的FMI样本值γm被用作FMI总体值γ0的估计值,其中m是MI的输入次数。然而,这种FMI估计方法从未得到充分的证明和评估。在本文中,我们定量地证明了E(γm)随着m的增加而减小,因此对于任何有限的m,E(γm)>γ0。因此,γm不可避免地会高估γ0。提出了三种改进的FMI估计方法。MI试验的结果证实了主要结论,该试验使用了美国国家门诊医疗调查的2012年医师工作流程邮件调查的数据。
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引用次数: 4
Goodness of fit test for higher order binary Markov chain models 高阶二元马尔可夫链模型的拟合优度检验
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/23311835.2017.1421003
Mahboobeh Zangeneh Sirdari, M. Islam
Abstract When the interest is in making statements about change based on repeated measurements of discrete data, one way to do so is using Markov chain models. Goodness of fit test to find a good model is very important in analyzing the underlying patterns and relationships in the repeated measures data. To test for the various associations in the models, the likelihood ratio and Wald tests are used. However, it has been observed that the efficient score tests can provide equally good tests and can provide an easier alternative. In this paper, we provide an extension of Tsiatis method for goodness of fit test on higher order Markov chains. In our method, we follow the approach of Tsiatis goodness of fit test in logistic regression models. New method provided in this paper is applied to real-life data to examine the suitability of the techniques.
当对基于离散数据的重复测量的变化的陈述感兴趣时,一种方法是使用马尔可夫链模型。拟合优度检验对于分析重复测量数据的潜在规律和关系是非常重要的。为了检验模型中的各种关联,使用了似然比和沃尔德检验。然而,据观察,有效的分数测试可以提供同样好的测试,并且可以提供一个更容易的替代方案。本文给出了高阶马尔可夫链拟合优度检验的Tsiatis方法的推广。在我们的方法中,我们在逻辑回归模型中采用Tsiatis拟合优度检验的方法。将本文提出的新方法应用于实际数据,以检验这些技术的适用性。
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引用次数: 3
Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions 用二维块脉冲函数数值解非线性混合Volterra-Fredholm积分微分方程
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1521084
M. Safavi, A. Khajehnasiri
Abstract This paper proposed an effective numerical method to obtain the solution of nonlinear two-dimensional mixed Volterra-Fredholm integro-differential equations. For this purpose, the two-dimensional block-pulse functions (2D-BPFs) operational matrix of integration and differentiation has been presented. The 2D-BPFs method converts nonlinear two-dimensional mixed Volterra-Fredholm integro-differential equations to an algebraic system of equations which is computable as well. Error analysis and some numerical examples are presented to illustrate the effectiveness and accuracy of the method.
摘要本文提出了一种求解二维混合非线性Volterra-Fredholm积分微分方程的有效数值方法。为此,提出了二维块脉冲函数(2d - bpf)的积分与微分运算矩阵。2D-BPFs方法将非线性二维混合Volterra-Fredholm积分微分方程转化为可计算的代数方程组。通过误差分析和数值算例说明了该方法的有效性和准确性。
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引用次数: 12
Quasi-boundedness of irresolute paratopological groups 不定副拓扑群的拟有界性
Q4 MATHEMATICS Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1458553
Rafaqat Noreen, M. Khan
Abstract Continuing the study of irresolute paratopological groups, our focus in this paper is to define and study the boundedness for irresolute paratopological groups. Premeager property for irresolute paratopological groups is discussed. It is proved that every open subgroup of a quasi-bounded, premeager irresolute paratopological group is premeager. For bounded homomorphisms on an irresolute paratopological group, new notions -quasi bounded and -quasi bounded homomorphisms are introduced and discussed.
摘要继续研究不确定的副拓扑群,本文的重点是定义和研究不确定副拓扑群的有界性。讨论了不定副拓扑群的Pretille性质。证明了一个拟有界的预紧不定副拓扑群的每个开子群都是预紧的。对于不确定副拓扑群上的有界同态,引入并讨论了新的概念——拟有界和拟有界同态。
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引用次数: 1
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Cogent mathematics & statistics
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