《Insurance: Mathematics and Economics》2020

To facilitate applications in general insurance, some extensions are proposed to cluster-weighted models (CWMs). First, we extend CWMs to have generalized cluster-weighted models (GCWMs) by allowing modeling of non-Gaussian distribution of the continuous covariates, as they frequently occur in insurance practice. Secondly, we introduce a zero-inflated extension of GCWM (ZI-GCWM) for modeling insurance claims data with excess zeros coming from heterogeneous sources. Additionally, we give two expectation–optimization (EM) algorithms for parameter estimation given in the proposed models. An appropriate simulation study shows that, for various settings and in contrast to the existing mixture-based approaches, both extended models perform well. Finally, a real data set based on French auto-mobile policies is used to illustrate the application of the proposed extensions.  相似文献   

    

《Indagationes Mathematicae》2017,28(6):1233-1239

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《Physica E: Low-dimensional Systems and Nanostructures》2017

In this paper, the influences of nonideal boundary conditions (due to flexibility) on the primary resonant behavior of a piezoelectrically actuated microbeam have been studied, for the first time. The structure has been assumed to treat as an Euler–Bernoulli beam, considering the effects of geometric nonlinearity. In this work, the general nonideal supports have been modeled as a the combination of horizontal, vertical and rotational springs, simultaneously. Allocating particular values to the stiffness of these springs provides the mathematical models for the majority of boundary conditions. This consideration leads to use a two-dimensional analysis of the multiple scales method instead of previous works' method (one-dimensional analysis). If one neglects the nonideal effects, then this paper would be an effort to solve the two-dimensional equations of motion without a need of a combination of these equations using the shortening or stretching effect. Letting the nonideal effects equal to zero and comparing their results with the results of previous approaches have been demonstrated the accuracy of the two-dimensional solutions. The results have been identified the unique effects of constraining and stiffening of boundaries in horizontal, vertical and rotational directions. This means that it is inaccurate to suppose the nonideality of supports only in one or two of these directions like as previous works. The findings are of vital importance as a better prediction of the frequency response for the nonideal supports. Furthermore, the main findings of this effort can help to choose appropriate boundary conditions for desired systems.  相似文献   

    

《Nonlinear Analysis: Real World Applications》2022

This paper is concerned with the spreading speed for a nonlocal dispersal vaccination model with general incidence. We first prove the existence and uniform boundedness of solutions for this model by using the Schauder’s fixed point theorem. Then, applying comparison principle, we establish the existence of spreading speed for the infective individuals. According to our result, one can see that the spreading speed coincides with the critical speed of traveling wave solution connecting the disease-free and endemic equilibria. In addition, the diffusion rate of the infected individuals can increase the spread of infectious diseases, while the vaccination rate reduces the spread of infectious diseases.  相似文献   

    

《Differential Geometry and its Applications》2021

Light carries energy and therefore is source of a gravitational field. In the paper it is proven, in particular, that a laser beam is source of non-linear gravitational waves corresponding, from a quantum point of view, to spin-1 massless particles. This fact suggests both a possible solution to the old problem on the lack of gravitational attraction between two laser beams moving parallel and a new derivation of the Generalized Uncertainty Principle.  相似文献   

    

《Nonlinear Analysis: Real World Applications》2021

In this paper we study a simplified transient energy-transport model in semiconductors with a general conductivity and the Dirichlet boundary conditions on an interval. By using a new iterative scheme, we prove the global existence and uniqueness of strong solutions provided that the variation of the temperature is small. Also, the existence and stability of stationary solutions are proved if the temperature is large.  相似文献   

    

《Nonlinear Analysis: Real World Applications》2021

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《Nonlinear Analysis: Hybrid Systems》2021

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Juan Antonio García-Martín;Pablo Catalán;Susanna Manrubia;José A. Cuesta 《Europhysics letters》2018,123(2)

The evolutionary dynamics of molecular populations are strongly dependent on the structure of genotype spaces. The map between genotype and phenotype determines how easily genotype spaces can be navigated and the accessibility of evolutionary innovations. In particular, the size of neutral networks corresponding to specific phenotypes and its statistical counterpart, the distribution of phenotype abundance, have been studied through multiple computationally tractable genotype-phenotype maps. In this work, we test a theory that predicts the abundance of a phenotype and the corresponding asymptotic distribution (given the compositional variability of its genotypes) through the exact enumeration of several GP maps. Our theory predicts with high accuracy phenotype abundance, and our results show that, in navigable genotype spaces —characterised by the presence of large neutral networks— phenotype abundance converges to a log-normal distribution.https://doi.org/10.1209/0295-5075/123/28001  相似文献   

    

Chun-Fang Li;Xin-Ping Li;Lin-Cheng Wang 《Europhysics letters》2018,124(3)

The cyclically modulated Su-Schrieffer-Heeger (SSH) chain systems with long-range hoppings, including the nearest-neighbor, the next-nearest-neighbor and the third-nearest-neighbor hoppings, have been proposed and investigated in this letter. The topological nontrivial phases characterized by Chern number have been obtained, showing a rich phase diagram in the two-dimensional space of the momentum and the modulation parameter. A similar shape of phase diagram but with different Chern numbers as Haldane model with long-range hoppings has been shown, and higher Chern numbers have been obtained and verified, indicating that more edge states can be obtained in such system.https://doi.org/10.1209/0295-5075/124/37003  相似文献