Contents

Lobachevskii Journal of Mathematics


Vol. 44, No. 9, 2023


New Discrete Bilal Distribution and Associated INAR(1) Process

M. Ahsan-ul-Haq, M. R. Irshad, E. S. Muhammed Ahammed, R. Maya p. 3647  abstract

The Discrete Gompertz–Weibull–Fréchet Distribution: Properties and Applications

Thanasate Akkanphudit p. 3663  abstract

Order Statistics of Generalized Topp–Leone Distribution with Application to Tissue Damage Proportions in Blood

Kumar Devendra, Wang Liang, Dey Sanku p. 3673  abstract

Fractal Interpolation Densities

K. Igudesman, M. Tumakov, S. Snegina, D. Tumakov p. 3690  abstract

The Exponentiated Additive Teissier-Exponential Distribution

V. P. Jha, V. Kumaran p. 3697  abstract

Straub’s Convergence Exists

A. V. Kazantsev, K. A. Mikhailova p. 3714  abstract

Bayesian Time Series Modeling of Necrotizing Fasciitis Count in Mahasarakham and Roi-Et Hospitals

Khemmanant Khamthong, Napassanan Srisarakham, Sujitta Suraphee p. 3718  abstract

A New Estimator for Estimating Population Mean Using Two Auxiliary Attributes in Stratified Random Sampling

Ashish Kumar, Bhatt Ravi Jitendrakumar, Yashpal Singh Raghav, Monika Saini p. 3729  abstract

New Imputation Method for Estimating Population Mean in the Presence of Missing Data

Nuanpan Lawson p. 3740  abstract

A Class of Population Mean Estimators in the Presence of Missing Data with Applications to Air Pollution in Chiang Mai, Thailand

Nuanpan Lawson p. 3749  abstract

A Rosenthal-type Inequality for Some Classes of Dependent Random Variables and Its Applications

Bui Nguyen Tram Ngoc, Le Thi Hang Quyen p. 3758  abstract

Statistical Inference for the Cross-Product Ratio under Different Sampling Schemes

Parichart Pattarapanitchai p. 3764  abstract

Alpha Power Exponentiated Pareto Distribution

Panuwat Pimsap, Winai Bodhisuwan, Andrei Volodin p. 3779  abstract

Two Phase Adaptive Cluster Sampling under Transformed Population Approach

Yashpal Singh Raghav, Rajesh Singh, Rohan Mishra, Abdullah Ali H. Ahmadini, Nitesh Kumar Adichwal, Irfan Ali p. 3789  abstract

Power Exponentiated Weibull Distibution: Application in Survival Rate of Cancer Patients

C. S. Rajitha, Menon Vaishnavi p. 3806  abstract

Properties and Parameter Estimation of the Partly-Exponential Distribution

Nalattaporn Roopmok, Monthira Duangsaphon, Andrei Volodin p. 3825  abstract

Availability Investigation and Optimization of Crystallizer Unit of Sugar Mill Using Markov Approach and Cuckoo Search Algorithm

Monika Saini, Ravi Choudhary, Ashish Kumar p. 3837  abstract

A New Generalization of Poisson Distribution for Over-dispersed, Count Data: Mathematical Properties, Regression Model and Applications

F. Z. Seghier, M. Ahsan-ul-Haq, H. Zeghdoudi, S. Hashmi p. 3850  abstract

Asymptotic and Bootstrap Confidence Intervals for the Ratio of Modes of Log-normal Distributions

Lapasrada Singhasomboon, Chengyu Gao, Sasiwimon Sirisaiyard, Wararit Panichkitkosolkul, Andrei Volodin p. 3860  abstract

New Bayesian Approach to the Estimation in Simultaneous Equations Model

Selma Toker, Nimet Özbay p. 3872  abstract

Generalized Ratio-Cum-Exponential-Log Ratio Type Estimators of Population Mean under Simple Random Sampling Scheme

Subhash Kumar Yadav, Diksha Arya, Gajendra K. Vishwakarma, Mukesh Kumar Verma p. 3889  abstract

Derivation of Explicit Formulae for Performance Measures of CUSUM Control Chart for SMA(Q)${}_{\boldsymbol{s}}$ Model with Exponential White Noise

Lili Zhang, Sujitta Suraphee, Piyapatr Busababodhin p. 3902  abstract

Thermodynamics of One-Dimensional Flows

A. Duyunova, V. Lychagin, S. Tychkov p. 3914  abstract

Critical Phenomena of Massieu–Plank Potential for Gas Mixtures Described by the Beattie–Bridgeman Equations of State

I. A. Galyaev, M. I. Kostiuchek, A. V. Batov, A. M. Salnikov p. 3919  abstract

Scaling Invariance of the $\boldsymbol{k[S]}$-Hierarchy and Its Strict Version

G. F. Helminck, J. A. Weenink p. 3927  abstract

The Equations of the Darcy–Brinkman Flow: the Lie Symmetry Classification, Conservation Laws, and Traveling Wave Solutions

I. S. Krasil’shchik, O. I. Morozov p. 3941  abstract

Evolutionary Systems and Flows on Solutions Spaces of Finite Type Equations

A. G. Kushner, T. Sinian p. 3945  abstract

On Thermodynamics of Multicomponent Systems

V. V. Lychagin p. 3952  abstract

A Kadomtsev–Petviashvili Hierarchy Driven by Equation Manifolds

J.-P. Magnot, E. G. Reyes, V. Roubtsov p. 3963  abstract

A Lax Representation of the Charney–Obukhov Equation for the Ocean

O. I. Morozov p. 3973  abstract

Contact Transformations in Theory of Frontal Oil Displacement

S. S. Mukhina p. 3976  abstract

Perturbations of Differential Equations Retaining Conserved Quantities

A. Samokhin p. 3981  abstract

Comparison of Approximate and Numerical Methods for Solving the Homogeneous Dirichlet Problem for the Helmholtz Operator in a Two-Dimensional Domain

E. G. Apushkinskiy, V. A. Kozhevnikov, A. V. Biryukov p. 3989  abstract

Software for Component-by-Component Benchmarking of a Computing Cluster Network

A. A. Begaev, A. N. Salnikov p. 3998  abstract

Mathematical Model of Conformal Radiating Structures with Chiral Filling Based on Spiral Elements Taking into Account the Macroscopic Parameters Frequency Dispersion

A. L. Buzov, M. A. Buzova, D. S. Klyuev, A. M. Neshcheret, Yu. V. Sokolova p. 4009  abstract

Characteristic Equations for True and Fictitious Eigenvalues of Muller Boundary Integral Equations

I. V. Ketov, E. M. Karchevskii p. 4016  abstract

Method of Volume Singular Equations for Solving a Nonlinear Problem of Diffraction in a Semi-Infinite Rectangular Waveguide

A. O. Lapich, M. Yu. Medvedik p. 4028  abstract

Integral Equations of Coordinate Diffraction Problems of Elastic Waves in Stratified Media

I. E. Pleshchinskaya, N. B. Pleshchinskii, K. N. Stekhina p. 4034  abstract

On Equivalence of Mathematical Models in Problems of Diffraction of Waves by Thin Screens

N. B. Pleshchinskii p. 4043  abstract

Factorization of the Partly Non-rational Matrix of Arbitrary Order

S. V. Rogosin, L. P. Primachuk, M. V. Dubatovskaya p. 4054  abstract

On the Application of Mosaic-Skeleton Approximations of Matrices in Electrodynamics Problems with Impedance Boundary Conditions

A. V. Setukha, S. L. Stavtsev p. 4062  abstract

The Method of Integral Variational Relations in the Problem of Eigenwaves of a Plane Dielectric Layer Coated with Graphene

Yu. G. Smirnov, E. G. Smolkin p. 4070  abstract

Spectral Characteristics of the Integral Operator of the Internal Problem of Electrodynamics for Cylindrical Spiral Structure

D. P. Tabakov, A. G. Majorov, R. M. Valiullin, D. S. Klyuev p. 4079  abstract

Electromagnetic Wave Scattering from Curvilinear Screens: Galerkin Method Convergence Proof

A. A. Tsupak p. 4092  abstract