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Empirical Likelihood for Autoregressive Models with Spatial Errors 具有空间误差的自回归模型的经验似然
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-025-0025-6
Ying-hua Li, Yong-song Qin
{"title":"Empirical Likelihood for Autoregressive Models with Spatial Errors","authors":"Ying-hua Li,&nbsp;Yong-song Qin","doi":"10.1007/s10255-025-0025-6","DOIUrl":"10.1007/s10255-025-0025-6","url":null,"abstract":"<div><p>In this article, we study the empirical likelihood (EL) method for autoregressive models with spatial errors. The EL ratio statistics are constructed for the parameters of the models. It is shown that the limiting distributions of the EL ratio statistics are chi-square distributions, which are used to construct confidence intervals for the parameters of the models. A simulation study is conducted to compare the performances of the EL based and the normal approximation (NA) based confidence intervals. Simulation results show that the confidence intervals based on EL are superior to the NA based confidence intervals.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"775 - 796"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144610","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: 0
Pricing Guaranteed Minimum Death Benefits with Dollar Cost Averaging Under Time-changed Lévy Models 时变lsamvy模型下基于美元成本平均的最低死亡保险定价
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1035-5
Jia-ming Wang, Mei-qiao Ai, Zhi-min Zhang
{"title":"Pricing Guaranteed Minimum Death Benefits with Dollar Cost Averaging Under Time-changed Lévy Models","authors":"Jia-ming Wang,&nbsp;Mei-qiao Ai,&nbsp;Zhi-min Zhang","doi":"10.1007/s10255-024-1035-5","DOIUrl":"10.1007/s10255-024-1035-5","url":null,"abstract":"<div><p>In this paper, we propose an efficient and accurate method for pricing Guaranteed Minimum Death Benefit (GMDB) under time-changed Lévy processes. Suppose that the GMDB payoff depends on a dollar cost averaging (DCA) style periodic investment, and the activity rate process in stochastic time change is modeled by a square-root process. We develop a recursive method to derive the closed form valuation formula by using the frame duality projection method. Numerical examples are reported for demonstrating the effectiveness of our approach and illustrating the interplay between contract parameters and the valuation.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"692 - 709"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144603","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: 0
({overline partial})-dressing Method for the Coupled Two-component Kundu-Eckhaus Equations ({overline partial})耦合双分量Kundu-Eckhaus方程的修整方法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1032-8
Zhen-jie Niu, Biao Li
{"title":"({overline partial})-dressing Method for the Coupled Two-component Kundu-Eckhaus Equations","authors":"Zhen-jie Niu,&nbsp;Biao Li","doi":"10.1007/s10255-024-1032-8","DOIUrl":"10.1007/s10255-024-1032-8","url":null,"abstract":"<div><p>In this paper, <span>({overline partial})</span>-dressing method based on a local 3 × 3 matrix <span>({overline partial})</span>-problem with non-normalization boundary conditions is used to investigate coupled two-component Kundu-Eckhaus equations. Firstly, we propose a new compatible system with singular dispersion relation, that is time spectral problem and spatial spectral problem of coupled two-component Kundu-Eckhaus equations via constraint equations. Then, we derive a hierarchy of nonlinear evolution equations by introducing a recursive operator. At last, by solving constraint matrixes, a spectral transform matrix is given which is sufficiently important for finding soliton solutions of potential function, and we obtain <i>N</i>-soliton solutions of coupled two-component Kundu-Eckhaus equations.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"681 - 691"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144604","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: 0
Stability Switches of a Double-delayed Mussel-algae System 双延迟贻贝-藻类系统的稳定性开关
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1069-8
Zhi-chao Jiang, Jing-hua He, Bo-hai Chen
{"title":"Stability Switches of a Double-delayed Mussel-algae System","authors":"Zhi-chao Jiang,&nbsp;Jing-hua He,&nbsp;Bo-hai Chen","doi":"10.1007/s10255-024-1069-8","DOIUrl":"10.1007/s10255-024-1069-8","url":null,"abstract":"<div><p>The stable switching phenomenon of a diffusion mussel-algae system with two delays and half saturation constant is studied. The stability of positive equilibrium and the existence of Hopf bifurcation on two-delay plane are investigated by calculating the stability switching curves. The normal form on the central manifold near Hopf bifurcation point is also derived. It can find that two different delays can induce the stable switches which cannot occur with the same delays. Through numerical simulations, the region of complete stability of system increases with the increase of half-saturation constant, indicating that the half-saturation constant contributes to the stability of system. In addition, double Hopf bifurcations may occur due to the intersection of bifurcation curves. These results show that two different delay and half-saturation constant have important effects on the system. The numerical simulation results validate the correctness of the theoretical analyses.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"741 - 764"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144611","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: 0
Rubbling and Optimal Rubbling of Dense Bipartite Graphs 密集二部图的块化与最优块化
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-05-31 DOI: 10.1007/s10255-025-0024-7
Ze-tu Gao, Jian-hua Yin
{"title":"Rubbling and Optimal Rubbling of Dense Bipartite Graphs","authors":"Ze-tu Gao,&nbsp;Jian-hua Yin","doi":"10.1007/s10255-025-0024-7","DOIUrl":"10.1007/s10255-025-0024-7","url":null,"abstract":"<div><p>Given a distribution of pebbles on the vertices of a connected graph <i>G</i>, a pebbling move on <i>G</i> consists of taking two pebbles off one vertex and placing one on an adjacent vertex. <i>Rubbling</i> is a version of pebbling where an additional move is allowed. In this new move, one pebble each is removed at vertices <i>u</i> and <i>w</i> that are adjacent to a vertex <i>v</i>, and an extra pebble is added at vertex <i>v</i>. The <i>rubbling number</i> of <i>G</i>, denoted by <i>ρ</i>(<i>G</i>), is the smallest number <i>m</i> such that for every distribution of <i>m</i> pebbles on <i>G</i> and every vertex <i>v</i>, at least one pebble can be moved to <i>v</i> by a sequence of rubbling moves. The <i>optimal rubbling number</i> of <i>G</i>, denoted by <i>ρ</i><sub><i>opt</i></sub>(<i>G</i>), is the smallest number <i>k</i> such that for some distribution of <i>k</i> pebbles on <i>G</i>, one pebble can be moved to any vertex of <i>G</i>. In this paper, we determine <i>ρ</i>(<i>G</i>) for a non-complete bipartite graph <i>G</i> ∈ <i>B</i>(<i>s</i>, <i>t</i>) with <span>(delta(G)geqlceilfrac{2s+1}{3}rceil)</span>, give an upper bound of <i>ρ</i>(<i>G</i>) for <i>G</i> ∈ <i>B</i>(<i>s</i>, <i>t</i>) with <span>(delta(G)geqlceilfrac{s+1}{2}rceil)</span>, and also obtain <i>ρ</i><sub><i>opt</i></sub>(<i>G</i>) for a non-complete bipartite graph <i>G</i> ∈ <i>B</i>(<i>s</i>, <i>t</i>) with <span>(delta(G)geqlceilfrac{s+1}{2}rceil)</span>, where <i>B</i>(<i>s</i>, <i>t</i>) is the set of all connected bipartite graphs with partite sets of size <i>s</i> and <i>t</i> (<i>s</i> ≥ <i>t</i>) and <i>δ</i>(<i>G</i>) is the minimum degree of <i>G</i>.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"765 - 774"},"PeriodicalIF":0.9,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145341","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: 0
Blow up, Growth and Decay of Solutions for Class of a Coupled Nonlinear Viscoelastic Kirchhoff Equations with Variable Exponents and Fractional Boundary Conditions 一类具有变指数和分数边界条件的耦合非线性粘弹性Kirchhoff方程解的爆破、增长和衰减
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-024-1150-3
Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane, Rashid Jan
{"title":"Blow up, Growth and Decay of Solutions for Class of a Coupled Nonlinear Viscoelastic Kirchhoff Equations with Variable Exponents and Fractional Boundary Conditions","authors":"Abdelbaki Choucha,&nbsp;Salah Boulaaras,&nbsp;Djamel Ouchenane,&nbsp;Rashid Jan","doi":"10.1007/s10255-024-1150-3","DOIUrl":"10.1007/s10255-024-1150-3","url":null,"abstract":"<div><p>We examine a quasilinear system of viscoelastic equations in this study that have fractional boundary conditions, dispersion, source, and variable-exponents. We discovered that the solution of the system is global and constrained under the right assumptions about the relaxation functions and initial conditions. After that, it is demonstrated that the blow-up has negative initial energy. Subsequently, the growth of solutions is demonstrated with positive initial energy, and the general decay result in the absence of the source term is achieved by using an integral inequality due to Komornik.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"344 - 374"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749128","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: 0
General Minimum Lower-order Confounding Split-plot Designs with Important Subplot Factors 具有重要子图因子的一般最小低阶混杂分图设计
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-024-1027-5
Tao Sun, Sheng-li Zhao
{"title":"General Minimum Lower-order Confounding Split-plot Designs with Important Subplot Factors","authors":"Tao Sun,&nbsp;Sheng-li Zhao","doi":"10.1007/s10255-024-1027-5","DOIUrl":"10.1007/s10255-024-1027-5","url":null,"abstract":"<div><p>In this paper, we consider the regular <i>s</i>-level fractional factorial split-plot (FFSP) designs when the subplot (SP) factors are more important. The idea of general minimum lower-order confounding criterion is applied to such designs, and the general minimum lower-order confounding criterion of type SP (SP-GMC) is proposed. Using a finite projective geometric formulation, we derive explicit formulae connecting the key terms for the criterion with the complementary set. These results are applied to choose optimal FFSP designs under the SP-GMC criterion. Some two- and three-level SP-GMC FFSP designs are constructed.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"441 - 455"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749124","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: 0
Inverse Scattering Transform and Multi-soliton Solutions for the Sextic Nonlinear Schrödinger Equation 六阶非线性Schrödinger方程的逆散射变换和多孤子解
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0004-y
Xin Wu, Shou-fu Tian, Jin-Jie Yang
{"title":"Inverse Scattering Transform and Multi-soliton Solutions for the Sextic Nonlinear Schrödinger Equation","authors":"Xin Wu,&nbsp;Shou-fu Tian,&nbsp;Jin-Jie Yang","doi":"10.1007/s10255-025-0004-y","DOIUrl":"10.1007/s10255-025-0004-y","url":null,"abstract":"<div><p>In this work, we consider the inverse scattering transform and multi-soliton solutions of the sextic nonlinear Schrödinger equation. The Jost functions of spectral problem are derived directly, and the scattering data with <i>t</i> = 0 are obtained accordingly to analyze the symmetry and other related properties of the Jost functions. Then we make use of translation transformation to get the relation between potential and kernel, and recover potential according to Gel’fand-Levitan-Marchenko (GLM) integral equations. Furthermore, the time evolution of scattering data is considered, on the basis of that, the multi-soliton solutions are derived. In addition, some solutions of the equation are analyzed and revealed its dynamic behavior via graphical analysis, which could enrich the nonlinear phenomena of the sextic nonlinear Schrödinger equation.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"536 - 555"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749085","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: 0
Ramsey and Gallai-Ramsey Numbers of Cycles and Books 拉姆齐和加拉伊-拉姆齐《循环与书籍
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0009-6
Mei-qin Wei, Ya-ping Mao, Ingo Schiermeyer, Zhao Wang
{"title":"Ramsey and Gallai-Ramsey Numbers of Cycles and Books","authors":"Mei-qin Wei,&nbsp;Ya-ping Mao,&nbsp;Ingo Schiermeyer,&nbsp;Zhao Wang","doi":"10.1007/s10255-025-0009-6","DOIUrl":"10.1007/s10255-025-0009-6","url":null,"abstract":"<div><p>Given two non-empty graphs <i>G, H</i> and a positive integer <i>k</i>, the Gallai-Ramsey number gr<sub><i>k</i></sub>(<i>G</i>: <i>H</i>) is defined as the minimum integer <i>N</i> such that for all <i>n</i> ≥ <i>N</i>, every exact <i>k</i>-edge-coloring of <i>K</i><sub><i>n</i></sub> contains either a rainbow copy of <i>G</i> or a monochromatic copy of <i>H</i>. Denote gr<sub><i>k</i></sub>′(<i>G</i>: <i>H</i>) as the minimum integer <i>N</i> such that for all <i>n</i> ≥ <i>N</i>, every edge-coloring of <i>K</i><sub><i>n</i></sub> using at most <i>k</i> colors contains either a rainbow copy of <i>G</i> or a monochromatic copy of <i>H</i>. In this paper, we get some exact values or bounds for gr<sub><i>k</i></sub>(<i>P</i><sub>5</sub>: <i>H</i>) and gr<sub><i>k</i></sub>′(<i>P</i><sub>5</sub>: <i>H</i>), where <i>H</i> is a cycle or a book graph. In addition, our results support a conjecture of Li, Besse, Magnant, Wang and Watts in 2020.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"425 - 440"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749086","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: 0
Some New Results on Majority Coloring of Digraphs 关于有向图多数着色的一些新结果
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0002-0
Jian-sheng Cai, Wei-hao Xia, Gui-ying Yan
{"title":"Some New Results on Majority Coloring of Digraphs","authors":"Jian-sheng Cai,&nbsp;Wei-hao Xia,&nbsp;Gui-ying Yan","doi":"10.1007/s10255-025-0002-0","DOIUrl":"10.1007/s10255-025-0002-0","url":null,"abstract":"<div><p>A majority coloring of a directed graph is a vertex-coloring in which every vertex has the same color as at most half of its out-neighbors. Kreutzer et al. conjectured that every digraph is majority 3-colorable. For an integer <i>k</i> ≥ 2, <span>({1 over {k}})</span>-majority coloring of a directed graph is a vertex-coloring in which every vertex <i>v</i> has the same color as at most <span>({1 over {k}}{d^{+}}(v))</span> of its out-neighbors. Girão et al. proved that every digraph admits a <span>({1 over {k}})</span>-majority 2<i>k</i>-coloring. In this paper, we prove that Kreutzer’s conjecture is true for digraphs under some conditions, which improves Kreutzer’s results, also we obtained some results of <span>({1 over {k}})</span>-majority coloring of digraphs. Moreover, we discuss the majority 3-coloring of random digraphs with some conditions.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"337 - 343"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749127","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: 0
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