Computing Bayesian Bonus-Malus Premium Distinguishing Among Different Multiple Types of ClaimsLobachevskii Journal of Mathematics - Tập 42 - Trang 3208-3217 - 2022
T. Pongsart, A. Moumeesri, T. Mayureesawan, W. Phaphan
The premium calculation considered in the classical bonus-malus system in automobile insurances is dependent only on a number of claims. When a policyholder declared a small claim size, he or she was penalized in the same way as those who made a large claim size. Hence, it is unfair to penalize all policyholders in like manner. In this article, we propose a model for computing the premium based on...... hiện toàn bộ
Hyperbolic Riesz B-Potential and Solution of an Iterated Non-Homogeneous B-Hyperbolic EquationLobachevskii Journal of Mathematics - Tập 41 - Trang 895-916 - 2020
E. L. Shishkina
Marcel Riesz has created a new method to solve non-homogeneous linear equations, generalizing the fractional Riemann–Liouville integral. We generalize and apply this method to solve linear equations with Bessel operators acting with respect to all variables. This method includes the overcoming of difficulties of the theory of differential equations, caused by the occurrence of divergent integrals....... hiện toàn bộ
Generalized DUS Transformed Garima Distribution: Properties, Simulations and ApplicationsLobachevskii Journal of Mathematics - Tập 44 - Trang 803-814 - 2023
Thanasate Akkanphudit
Many studies have underlined the importance of the Garima distribution in modeling lifetime data. In this article, we proposed a new distribution using a generalized DUS transform for the Garima distribution. The hazard rate, quantile function, and other significant aspects of the new distribution are investigated. In particular, we show that the hazard rate function has to increase, decrease and ...... hiện toàn bộ
Canonical vector valued 1-forms on higher order principal prolongationsLobachevskii Journal of Mathematics - Tập 29 - Trang 24-26 - 2008
J. Kurek, W. M. Mikulski
Let P → M be a principal G-bundle with m-dimensional basis, where G is a Lie group. Let V be a finite dimensional vector space over R. We describe all canonical (
$$
\mathcal{P}\mathcal{B}_m
$$
(G)-invariant) V-valued 1-forms ϑ: TW
...... hiện toàn bộ
Application of the Method of Moments with RWG Basis Functions in Problems of Diffraction by Plates with Similar GeometriesLobachevskii Journal of Mathematics - Tập 43 - Trang 1232-1244 - 2022
D. Kh. Giniyatova, D. N. Tumakov, A. G. Markina
The problem of electromagnetic wave diffraction by metal plates with a complex geometry close to simpler domains is considered. The numerical solution of the problem is obtained by the method of moments using the algorithm for cutting out subdomains from the initial simple domain. Classical RWG functions are used as basic and test functions. The analysis of the influence of the area and position o...... hiện toàn bộ