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Dynamic credibility with outliers and missing observations 具有异常值和缺失观测值的动态可信度
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/AM.1996.134318
T. Cipra
{"title":"Dynamic credibility with outliers and missing observations","authors":"T. Cipra","doi":"10.21136/AM.1996.134318","DOIUrl":"https://doi.org/10.21136/AM.1996.134318","url":null,"abstract":"In actuarial practice the credibility models must face the problem of outliers and missing observations. If using the $M$-estimation principle from robust statistics in combination with Kalman filtering one obtains the solution of this problem that is acceptable in the numerical framework of the practical actuarial credibility. The credibility models are classified as static and dynamic in this paper and the shrinkage is used for the final ratemaking.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"12 1","pages":"149-159"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81783660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Seasonal time series with missing observations 缺失观测的季节时间序列
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/AM.1996.134312
T. Ratinger
{"title":"Seasonal time series with missing observations","authors":"T. Ratinger","doi":"10.21136/AM.1996.134312","DOIUrl":"https://doi.org/10.21136/AM.1996.134312","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"47 1","pages":"41-55"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80603772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Linear model with inaccurate variance components 具有不准确方差成分的线性模型
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134336
L. Kubácek
{"title":"Linear model with inaccurate variance components","authors":"L. Kubácek","doi":"10.21136/am.1996.134336","DOIUrl":"https://doi.org/10.21136/am.1996.134336","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"46 1","pages":"433-445"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86518118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
LFS functions in multi-objective programming 多目标规划中的LFS函数
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/AM.1996.134331
L. Neralić, S. Zlobec
{"title":"LFS functions in multi-objective programming","authors":"L. Neralić, S. Zlobec","doi":"10.21136/AM.1996.134331","DOIUrl":"https://doi.org/10.21136/AM.1996.134331","url":null,"abstract":"We find conditions, in multi-objective convex programming with nonsmooth functions, when the sets of efficient (Pareto) and properly efficient solutions coincide. This occurs, in particular, when all functions have locally flat surfaces (LFS). In the absence of the LFS property the two sets are generally different and the characterizations of efficient solutions assume an asymptotic form for problems with three or more variables. The results are applied to a problem in highway construction, where the quantity of dirt to be removed and the uniform smoothness of the shape of a terrain are optimized simultaneously.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"77 1","pages":"347-366"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81178948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On caustics associated with Rossby waves 关于与罗斯比波相关的焦散
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134329
A. Gorman
{"title":"On caustics associated with Rossby waves","authors":"A. Gorman","doi":"10.21136/am.1996.134329","DOIUrl":"https://doi.org/10.21136/am.1996.134329","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"91 1","pages":"321-328"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72840102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A recovered gradient method applied to smooth optimal shape problems 一种用于光滑最优形状问题的恢复梯度法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134327
I. Hlavácek, J. Chleboun
{"title":"A recovered gradient method applied to smooth optimal shape problems","authors":"I. Hlavácek, J. Chleboun","doi":"10.21136/am.1996.134327","DOIUrl":"https://doi.org/10.21136/am.1996.134327","url":null,"abstract":"A new postprocessing technique suitable for nonuniform triangulations is employed in the sensitivity analysis of some model optimal shape design problems.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"9 1","pages":"281-297"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88808084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
How to recover the gradient of linear elements on nonuniform triangulations 如何恢复非均匀三角形上线性元素的梯度
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134325
I. Hlavácek, M. Křížek, Vladislav Pištora
{"title":"How to recover the gradient of linear elements on nonuniform triangulations","authors":"I. Hlavácek, M. Křížek, Vladislav Pištora","doi":"10.21136/am.1996.134325","DOIUrl":"https://doi.org/10.21136/am.1996.134325","url":null,"abstract":"We propose and examine a simple averaging formula for the gradient of linear finite elements in $R^d$ whose interpolation order in the $L^q$-norm is $mathcal O(h^2)$ for $d<2q$ and nonuniform triangulations. For elliptic problems in $R^2$ we derive an interior superconvergence for the averaged gradient over quasiuniform triangulations. A numerical example is presented.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"61 1","pages":"241-267"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88372655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 26
Cauchy problem for the non-newtonian viscous incompressible fluid 非牛顿粘性不可压缩流体的柯西问题
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134320
M. Pokorný
{"title":"Cauchy problem for the non-newtonian viscous incompressible fluid","authors":"M. Pokorný","doi":"10.21136/am.1996.134320","DOIUrl":"https://doi.org/10.21136/am.1996.134320","url":null,"abstract":"We study the Cauchy problem for the non-Newtonian incompressible fluid with the viscous part of the stress tensor $tau ^V(mathbb{e}) = tau (mathbb{e}) - 2mu _1 Delta mathbb{e}$, where the nonlinear function $tau (mathbb{e})$ satisfies $tau _{ij}(mathbb{e})e_{ij} ge c|mathbb{e}|^p$ or $tau _{ij}(mathbb{e})e_{ij} ge c(|mathbb{e}|^2+|mathbb{e}|^p)$. First, the model for the bipolar fluid is studied and existence, uniqueness and regularity of the weak solution is proved for $p > 1$ for both models. Then, under vanishing higher viscosity $mu _1$, the Cauchy problem for the monopolar fluid is considered. For the first model the existence of the weak solution is proved for $p > frac{3n}{n+2}$, its uniqueness and regularity for $p ge 1 + frac{2n}{n+2}$. In the case of the second model the existence of the weak solution is proved for $p>1$.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 1","pages":"169-201"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74340441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 92
Singular perturbations in optimal control problem with application to nonlinear structural analysis 奇异摄动最优控制问题及其在非线性结构分析中的应用
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134328
J. Lovísek
{"title":"Singular perturbations in optimal control problem with application to nonlinear structural analysis","authors":"J. Lovísek","doi":"10.21136/am.1996.134328","DOIUrl":"https://doi.org/10.21136/am.1996.134328","url":null,"abstract":"Summary. This paper concerns an optimal control problem of elliptic singular perturba­ tions in variational inequalities (with controls appearing in coefficients, right hand sides and convex sets of states as well). The existence of an optimal control is verified. Applications to the optimal control of an elasto-plastic plate with a small rigidity and with an obstacle are presented. For elasto-plastic plates with a moving part of the boundary a primal finite element model is applied and a convergence result is obtained.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"58 1","pages":"299-320"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88322904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the solvability of some multi-point boundary value problems 若干多点边值问题的可解性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134310
C. P. Gupta, S. Ntouyas, P. Tsamatos
{"title":"On the solvability of some multi-point boundary value problems","authors":"C. P. Gupta, S. Ntouyas, P. Tsamatos","doi":"10.21136/am.1996.134310","DOIUrl":"https://doi.org/10.21136/am.1996.134310","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"2 1","pages":"1-17"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87619310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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