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Comparison of Stochastic Mortality Model for Wider Age Range 大年龄段随机死亡率模型的比较
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.1014
S. R. M. Nor, F. Yusof, A. Bahar
The incorporation of non-linear pattern of early ages has opened new research directions on improving the existing stochastic mortality model structure. Several authors have outlined the importance of encompassing the full age range in dealing with longevity risk exposure by not to ignore the dependence between young and old age. In this study, we consider the two extensions of Cairns, Blake and Dowd model that incorporate the irregularity profile seen at the mortality of lower ages which are Plat and O’Hare and Li. The models’ performances in terms of in-sample fitting and out-sample forecasts were examined and compared. The results indicated that O’Hare and Li model performs better as compared to Plat model
早期非线性模式的引入为改进现有随机死亡率模型结构开辟了新的研究方向。几位作者概述了在处理长寿风险暴露时,不忽视年轻和老年之间的依赖关系,涵盖整个年龄范围的重要性。在本研究中,我们考虑了凯恩斯,布莱克和多德模型的两个扩展,其中包括在较低年龄的Plat和O 'Hare和Li死亡率中看到的不规则性。对模型在样本内拟合和样本外预测方面的性能进行了检验和比较。结果表明,与Plat模型相比,O 'Hare和Li模型的性能更好
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引用次数: 0
Algorithm for Solution of Non-convex Optimization Problem Through Piece-wise Convex Transformation 用分段凸变换求解非凸优化问题的算法
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.977
Lee Chang Kerk, Rohanin Ahmad
Optimization is central to any problem involving decision making. Thearea of optimization has received enormous attention for over 30 years and it is still popular in research field to this day. In this paper, a global optimization method called Kerk and Rohanin’s Trusted Interval will be introduced. The method introduced is able to identify all local solutions by converting non-convex optimization problems into piece-wise convex optimization problems. A mechanism which only considers the convex part where minimizers existed on a function is applied. This mechanism allows the method to filter out concave parts and some unrelated parts automatically. The identified convex parts are called trusted intervals. The descent property and the globally convergent of the method was shown in this paper. 15 test problems have been used to show the ability of the algorithm proposed in locating global minimizer.
优化是任何涉及决策的问题的核心。30多年来,优化问题一直受到人们的极大关注,至今在研究领域仍很受欢迎。本文将介绍一种称为Kerk和Rohanin可信区间的全局优化方法。所介绍的方法能够通过将非凸优化问题转换为分段凸优化问题来识别所有的局部解。应用了一种只考虑函数上存在极小值的凸部分的机制。该机制允许该方法自动过滤掉凹形部分和一些不相关的部分。已识别的凸部分称为可信区间。本文给出了该方法的下降性质和全局收敛性。通过15个测试问题,验证了该算法在全局极小值定位中的能力。
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引用次数: 1
Variational Approach for a Class of Two-point Fractional Boundary Value Systems 一类两点分数边值系统的变分方法
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/matematika.v34.n2.898
G. Afrouzi, S. Kolagar, A. Hadjian, Jiafa Xu
An existence result of multiple solutions for a class of two-point fractional boundary value equations depending upon a positive parameter is established. Our main tool is a three critical points theorem due to Bonanno and Marano [G. Bonanno and S.A. Marano,On the structure of the critical set of non-differentiable functions with a weakcompactness condition, Appl. Anal. 89 (2010), 1-10].
建立了一类依赖于正参数的两点分数边值方程多个解的存在性结果。我们的主要工具是由Bonanno和Marano [G]导出的三临界点定理。关于非可微函数的临界集结构的研究,应用科学(ei)。农业学报,89(2010),1-10。
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引用次数: 0
Impact of Dependence on Parameter Estimates of Autoregressive Process with Gumbel Distributed Innovation 依赖性对Gumbel分布创新自回归过程参数估计的影响
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.941
S. Bako, M. Adam, A. Fitrianto
Recent studies have shown that independent identical distributed Gaussian random variables is not suitable for modelling extreme values observed during extremal events. However, many real life data on extreme values are dependent and stationary rather than the conventional independent identically distributed data. We propose a stationary autoregressive (AR) process with Gumbel distributed innovation and characterise the short-term dependence among maxima of an (AR) process over a range of sample sizes with varying degrees of dependence. We estimate the maximum likelihood of the parameters of the Gumbel AR process and its residuals, and evaluate the performance of the parameter estimates. The AR process is fitted to the Gumbel-generalised Pareto (GPD) distribution and we evaluate the performance of the parameter estimates fitted to the cluster maxima and the original series. Ignoring the effect of dependence leads to overestimation of the location parameter of the Gumbel-AR (1) process. The estimate of the location parameter of the AR process using the residuals gives a better estimate. Estimate of the scale parameter perform marginally better for the original series than the residual estimate. The degree of clustering increases as dependence is enhance for the AR process. The Gumbel-AR(1) fitted to the Gumbel-GPD shows that the estimates of the scale and shape parameters fitted to the cluster maxima perform better as sample size increases, however, ignoring the effect of dependence lead to an underestimation of the parameter estimates of the scale parameter. The shape parameter of the original series gives a superior estimate compare to the threshold excesses fitted to the Gumbel-GPD.
最近的研究表明,独立的同分布高斯随机变量不适合模拟极端事件中观测到的极端值。然而,现实生活中许多关于极值的数据是相关的和平稳的,而不是传统的独立的同分布数据。我们提出了一个具有Gumbel分布式创新的平稳自回归(AR)过程,并描述了在不同依赖程度的样本量范围内(AR)过程最大值之间的短期依赖关系。我们估计了Gumbel AR过程参数及其残差的最大似然,并评估了参数估计的性能。AR过程拟合到gumbel - generalized Pareto (GPD)分布,我们评估了拟合到簇最大值和原始序列的参数估计的性能。忽略依赖性的影响会导致高估Gumbel-AR(1)过程的位置参数。利用残差对AR过程的位置参数进行估计,得到了较好的估计。原始序列的尺度参数估计值比残差估计值稍好。AR过程的聚类程度随着依赖性的增强而增加。拟合到Gumbel-GPD的Gumbel-AR(1)表明,随着样本量的增加,拟合到簇最大值的尺度和形状参数的估计表现得更好,然而,忽略依赖性的影响会导致尺度参数的参数估计被低估。与Gumbel-GPD拟合的阈值过量相比,原始序列的形状参数给出了更好的估计。
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引用次数: 1
Electrical Unsteady MHD Natural Convection Flow of Nanofluid with Thermal Stratification and Heat Generation/Absorption 具有热分层和生热/吸热的纳米流体的电非定常MHD自然对流
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.1016
Y. Daniel, A. A. Zainal, Z. Ismail, F. Salah
In this paper, we analyzed the effects of thermal radiation, chemical reaction, heat generation/absorption, magnetic and electric fields on unsteady natural convection flow and heat transfer due to nanofluid over a permeable stretching sheet. The transport equations used passively controlled boundary condition rather than actively. A similarity solution is employed to transformed the governing equations from nonlinear partial differential equations to a set of ordinary differential equations, and then solve using Keller box method. It was found that the temperature is a decreasing function with the thermal stratification due to the fact the density of the fluid in the lower vicinity is much higher compared to the upper region, whereas the thermal radiation, viscous dissipation and heat generation enhanced the nanofluid temperature and thermal layer thickness.
在本文中,我们分析了热辐射、化学反应、生热/吸收、磁场和电场对纳米流体在可渗透拉伸片上的非稳态自然对流和传热的影响。输运方程采用被动控制边界条件,而不是主动控制边界条件。采用相似解将控制方程从非线性偏微分方程转化为一组常微分方程,然后用Keller盒法求解。研究发现,温度是热分层的递减函数,因为与上部区域相比,下部区域的流体密度高得多,而热辐射、粘性耗散和热量产生提高了纳米流体的温度和热层厚度。
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引用次数: 5
Modelling The Effect of Hydraulic Conductivity on One Dimensional Contaminant Transport in RBF System 水力传导率对RBF系统中污染物一维传输影响的建模
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.1044
M. Shaymaa, Z. A. Aziz, A. Bahar, M. K. N. Shamsuddin
Riverbank filtration (RBF) system is a surface water technology that is based on the natural treatment of filtration instead of the use of chemicals, to pretreat surface water and provides public water supplies. Hydraulic conductivity value is one of the significant factors affecting the water quality in RBF systems.In this article, an analytical modelling is developed to investigate the effect of this parameter on one dimensional contaminant transport in RBF system. The model is solved by using Green’s function approach. The model is applied for the first RBF system conducted in Malaysia. Generally, the results show that increasing the hydraulic conductivity value lead to an increase in contaminant concentration inpumping well area.
河岸过滤(RBF)系统是一种基于过滤的自然处理而非化学物质的地表水技术,用于对地表水进行预处理并提供公共供水。在RBF系统中,导水系数是影响水质的重要因素之一。在本文中,建立了一个分析模型来研究该参数对RBF系统中一维污染物传输的影响。该模型采用格林函数法求解。该模型应用于马来西亚第一个RBF系统。结果表明,通常情况下,增大导水系数会导致泵井区污染物浓度的增加。
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引用次数: 0
Numerical Simulation of Shoaling Internal Solitary Waves in Two-layer Fluid Flow 双层流体流动中内部孤立波的数值模拟
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.1000
M. H. Hooi, W. Tiong, K. Tay, K. Chiew, S. Sze
In this paper, we look at the propagation of internal solitary waves overthree different types of slowly varying region, i.e. a slowly increasing slope, a smoothbump and a parabolic mound in a two-layer fluid flow. The appropriate mathematicalmodel for this problem is the variable-coefficient extended Korteweg-de Vries equation.The governing equation is then solved numerically using the method of lines. Ournumerical simulations show that the internal solitary waves deforms adiabatically onthe slowly increasing slope. At the same time, a trailing shelf is generated as theinternal solitary wave propagates over the slope, which would then decompose intosecondary solitary waves or a wavetrain. On the other hand, when internal solitarywaves propagate over a smooth bump or a parabolic mound, a trailing shelf of negativepolarity would be generated as the results of the interaction of the internal solitarywave with the decreasing slope of the bump or the parabolic mound. The secondarysolitary waves is observed to be climbing the negative trailing shelf.
在本文中,我们观察了内部孤立波在不同类型的缓变区域的传播,即两层流体流中的缓增斜坡、光滑凸起和抛物线丘。这个问题的适当数学模型是变系数扩展的Korteweg-de-Vries方程。然后用直线法对控制方程进行数值求解。我们的数值模拟表明,内部孤立波在缓慢增加的斜率上绝热变形。同时,当内部孤立波在斜坡上传播时,会产生尾架,然后分解为次级孤立波或波列。另一方面,当内部单行道在光滑凸块或抛物线土堆上传播时,由于内部单行道与凸块或抛物土堆斜率的减小相互作用,将产生负极性的拖尾架。观测到次级孤立波正在向负拖曳架爬升。
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引用次数: 2
A Mathematical Model for Forced Vibration of Pre-Stressed Piezoelectric Plate-Strip Resting On Rigid Foundation 刚性基础上预应力压电板条受迫振动的数学模型
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.988
Ahmet Daşdemir
A mathematical model to investigate the dynamic response of a piezoelectric plate-strip with initial stress under the action of a time-harmonic force resting on a rigid foundation is presented within the scope of the three-dimensional linearized theory of electro-elasticity waves in initially stressed bodies (TLTEEWISB). The governing system of equations of motion is solved by employing the Finite Element Method (FEM). The numerical results illustrating the dependencies of different problem parameters are investigated. In particular, the influence of a change in the value of the initial stress parameter on the dynamic response of the plate-strip is discussed.
在初始应力体中电弹性波的三维线性化理论(TLTEEWISB)的范围内,建立了一个数学模型来研究在刚性基础上的时谐力作用下具有初始应力的压电板带的动态响应。采用有限元法求解运动方程的控制系统。研究了不同问题参数相关性的数值结果。特别地,讨论了初始应力参数值的变化对板带动态响应的影响。
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引用次数: 3
Range-Box Plotting Relating to Discrete Distribution 与离散分布相关的范围框绘图
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.935
M. Adam, Babaginda Ibrahim Babura, Kathiresan Gopal
The box plot has been used for a very long time since 70s in checking the existence of outliers and the asymmetrical shape of data. The existing box plot is constructed using ve values of statistics calculated from either the discrete or continous data. Many improvement of box plots have deviated from the elegant and simplier approach of exploratory data analysis by incorporating many other statistic values resulting the turning back of the noble philosophy behind the creation of box plot.The modication using range value with the minimum and maximum values are being incorporated to suit the need of selected discrete distribution when outliers is not an important criteria anymore. The new modication of box plot is not based on the asymmetrical shape of distribution but more on the spread of the data and partitioning data into range measure. The new propose name for the box plot with only three values of statistics is called range-box plot.
自70年代以来,方框图在检查异常值的存在和数据的不对称形状方面已经使用了很长一段时间。现有的箱形图是使用从离散或连续数据计算的ve个统计值构建的。盒图的许多改进偏离了探索性数据分析的优雅和简单方法,引入了许多其他统计值,导致盒图创建背后的崇高哲学的倒退。当异常值不再是一个重要的标准时,使用具有最小值和最大值的范围值进行修改是为了满足所选离散分布的需要。盒图的新修改不是基于分布的不对称形状,而是更多地基于数据的扩散和将数据划分为范围测度。只有三个统计值的方框图的新建议名称称为范围方框图。
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引用次数: 6
Transformation of Pressurized Water Reactor (AP1000) to Fuzzy Graph 压水堆(AP1000)向模糊图的转换
IF 0.4 Q4 MATHEMATICS Pub Date : 2018-12-02 DOI: 10.11113/MATEMATIKA.V34.N2.1028
A. Ashaari, T. Ahmad, Wan Munirah Wan Mohamad
Pressurized water reactor (PWR) type AP1000 is a third generation of a nuclear power plant. The primary system of PWR using uranium dioxide to generate heat energy via fission process. The process influences temperature, pressure and pH value of water chemistry of the PWR. The aim of this paper is to transform the primary system of PWR using fuzzy autocatalytic set (FACS). In this work, the background of primary system of PWR and the properties of the model are provided. The simulation result, namely dynamic concentration of PWR is verified against published data.
AP1000型压水反应堆是第三代核电站。压水堆的主要系统利用二氧化铀通过裂变过程产生热能。该过程影响压水堆水化学的温度、压力和pH值。本文的目的是利用模糊自催化集(FACS)对压水堆一次系统进行改造。本文介绍了压水堆一次系统的背景和模型的性质。仿真结果,即压水堆的动态浓度,与已公布的数据进行了验证。
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引用次数: 4
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Matematika
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