Lobachevskii Journal of Mathematics
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On Properties of Zero Sets of Divisors in Weighted Spaces of Entire Functions
Lobachevskii Journal of Mathematics - - 2023
Computing Bayesian Bonus-Malus Premium Distinguishing Among Different Multiple Types of Claims
Lobachevskii Journal of Mathematics - Tập 42 - Trang 3208-3217 - 2022
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...
Estimation of System Reliability Based on Moving Extreme and MiniMax Ranked Set Sampling for Exponential Distributions
Lobachevskii Journal of Mathematics - Tập 42 - Trang 3061-3076 - 2022
In this article, we consider the maximum likelihood estimation (MLE) of the
system reliability $$\mathcal{R}=P(Y>X)$$ for the exponential distribution. We
propose the estimation of the system reliability based on moving extreme and
MiniMax ranked set sampling mechanisms. Since the proposed MLE estimators of
$$\mathcal{R}$$ cannot be obtained in a closed form, we apply Mehrotra and
Nanda’s modified...
Generalized spectrum approximation and numerical computation of eigenvalues for Schrödinger’s operators
Lobachevskii Journal of Mathematics - Tập 34 - Trang 45-60 - 2013
We show that the spectrum of a Schrödinger’s operator is equal to the
generalized spectrum of two bounded operators. Using an approximation method of
integral operator, based on regularization by convolution and Fourier series, we
approach perfectly the spectrum of the harmonic oscillator.
Some double sequence spaces defined by a sequence of Orlicz functions over n-normed spaces
Lobachevskii Journal of Mathematics - Tập 33 - Trang 183-190 - 2012
In the present paper we introduced double sequence spaces defined by a sequence
of Orlicz functions M= (M k,l ) over n-normed spaces and examine some properties
of the resulting sequence spaces.
Hyperbolic Riesz B-Potential and Solution of an Iterated Non-Homogeneous B-Hyperbolic Equation
Lobachevskii Journal of Mathematics - Tập 41 - Trang 895-916 - 2020
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....
Generalized DUS Transformed Garima Distribution: Properties, Simulations and Applications
Lobachevskii Journal of Mathematics - Tập 44 - Trang 803-814 - 2023
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 ...
Canonical vector valued 1-forms on higher order principal prolongations
Lobachevskii Journal of Mathematics - Tập 29 - Trang 24-26 - 2008
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
P → V on the r-th order principal prolongationW P of P....
Asymptotic Expansion of D-Risks for Hypothesis Testing in Bernoulli Scheme
Lobachevskii Journal of Mathematics - Tập 39 Số 3 - Trang 413-423 - 2018
Application of the Method of Moments with RWG Basis Functions in Problems of Diffraction by Plates with Similar Geometries
Lobachevskii Journal of Mathematics - Tập 43 - Trang 1232-1244 - 2022
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...
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