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Wyświetlanie 1-15 z 484
Tytuł:
Finitely additive functions in measure theory and applications
Autorzy:
Alpay, Daniel
Jorgensen, Palle
Powiązania:
https://bibliotekanauki.pl/articles/29519748.pdf
Data publikacji:
2024
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
reproducing kernel
probability space
Gaussian field
transforms
covariance
Itô integration
Itô calculus
generalized Brownian motion
Opis:
In this paper, we consider, and make precise, a certain extension of the Radon–Nikodym derivative operator, to functions which are additive, but not necessarily sigma-additive, on a subset of a given sigma-algebra. We give applications to probability theory; in particular, to the study of μ-Brownian motion, to stochastic calculus via generalized Itô-integrals, and their adjoints (in the form of generalized stochastic derivatives), to systems of transition probability operators indexed by families of measures μ, and to adjoints of composition operators.
Źródło:
Opuscula Mathematica; 2024, 44, 3; 323-339
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of COVID-19 and cancer data using new half-logistic generated family of distributions
Autorzy:
Khan, Sadaf
Tahir, Muhammad H.
Jamal, Farrukh
Powiązania:
https://bibliotekanauki.pl/articles/29127967.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
half-logistic distribution
generalized family
likelihood estimation
bio-medical data
Frechet distribution
Opis:
We focus on a specific sub-model of the proposed family that we call the new half logistic-Fréchet. This sub-model stems from a new generalisation of the half-logistic distribution which we call the new half-logistic-G. The novelty of proposing this new family is that it does not include any additional parameters and instead relies on the baseline parameter. Standard statistical formulas are used to show the forms of the density and failure rate functions, ordinary and incomplete moments with generating functions, and random variate generation. The maximum likelihood estimation procedure is used to estimate the set of parameters. We conduct a simulation analysis to ensure that our calculations are converging with lower mean square error and biases. We use three real-life data sets to equate our model to well-established existing models. The proposed model outperforms the well-established four parameters beta Fréchet and exponentiated generalized Fréchet for some real- -life results, with three parameters such as half-logistic Fréchet, exponentiated Fréchet, Zografos–Balakrishnan gamma Fréchet, Topp–Leonne Fréchet, and Marshall–Olkin Fréchet and two-parameter classical Fréchet distribution.
Źródło:
Operations Research and Decisions; 2023, 33, 4; 71--95
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characteristic of ion-acoustic waves described in the solutions of the (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation
Autorzy:
Mahmud, Adnan Ahmad
Tanriverdi, Tanfer
Muhamad, Kalsum Abdulrahman
Baskonus, Haci Mehmet
Powiązania:
https://bibliotekanauki.pl/articles/24201501.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
(3+1)-dimensional generalized Korteweg-de Varies-Zakharov-Kuznetsov equation
extended rational sinh-cosh method
modified extended tanh method
travelling wave transformation
rozszerzona racjonalna metoda sinh-cosh
rozszerzona metoda tanh
transformacja fali biegnącej
Opis:
The generalized Korteweg-de Varies-Zakharov-Kuznetsov equation (gKdV-ZK) in (3+1)-dimension has been investigated in this research. This model is used to elucidate how a magnetic field affects the weak ion-acoustic wave in the field of plasma physics. To deftly analyze the wide range of wave structures, we utilized the modified extended tanh and the extended rational sinh-cosh methods. Hyperbolic, periodic, and travelling wave solutions are presented as the results. Consequently, solitary wave solutions are also attained. This study shows that the solutions reported here are distinctive when our findings are contrasted against well-known outcomes. Moreover, realized findings are figured out in 3-dimensional, 2-dimensional, and contour profile graphs for the reader to comprehend their dynamics due to parameter selection. According to the findings, we can conclude that the suggested computational techniques are simple, dynamic, and well-organized. These methods are very functional for numerical calculations of complex nonlinear problems. Our results include a fundamental starting point in understanding physical behavior and the structure of the studied systems.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 36--48
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characteristic velocity of strong wind for wind engineering purposes
Prędkość charakterystyczna silnego wiatru do celów inżynierii wiatrowej
Autorzy:
Lipecki, Tomasz
Gaczek, Mariusz
Goliger, Adam
Kimbar, Grzegorz
Węgrzyński, Wojciech
Powiązania:
https://bibliotekanauki.pl/articles/27312129.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
prędkość wiatru
prędkość charakterystyczna
model Gumbela
wartość ekstremalna uogólniona
rozkład Pareto uogólniony
mapa wietrzności
norma
estymator liniowy nieobciążony najlepszy
characteristic velocity
wind velocity
Gumbel model
generalized extreme value
generalized pareto distribution
wind map
wind code
best linear unbiased estimator
Opis:
Eurocode standard recommends using fundamental basic wind velocity (characteristic velocity) as the design value in civil engineering. There are different approaches to estimate this value depending on the climate features of the given area and the quality of environmental data. The estimation of the characteristic value requires statistical analysis of historical data regarding wind velocities measured throughout the country at meteorological stations. The results of the analysis are probability density distributions of this random variable for each meteorological station. On this basis, values of characteristic wind velocity with a mean return period of 50 years are determined. The zones with uniform velocities are delineated on the map of the country. In the case of Poland the last evaluation of wind zones took place over 15 years ago. Higher quality of measurement data on the one hand, and the introduction of the second generation of Eurocode standards on the other hand, create a need to check and update these zones. This work presents theoretical basis for the estimation of characteristic values of random variables in the context of wind velocity, comprehensively reviews practical methods used for this purpose and summarizes current situation in Poland, finally discusses the issues related to the heterogeneity of wind data, illustrating them with an example.
Eurokod zaleca stosowanie podstawowej bazowej prędkości wiatru (prędkości charakterystycznej) jako wartości projektowej w inżynierii lądowej. Istnieją różne metody szacowania tej wartości, zależne od cech klimatycznych danego obszaru oraz jakości rejestrowanych danych środowiskowych. Oszacowanie wartości charakterystycznej wymaga analizy statystycznej danych historycznych na temat prędkości wiatru mierzonej na stacjach meteorologicznych na terenie całego kraju. Wynikiem analizy jest rozkład gęstości prawdopodobieństwa i w konsekwencji wartość charakterystyczna prędkości wiatru w danej lokalizacji. W normach projektowych, przeważnie jest to prędkość o tzw. okresie powrotu wynoszącym 50 lat. Końcowym efektem jest wyznaczenie na mapie kraju stref o jednakowych prędkościach wiatru. W przypadku Polski ostatnia aktualizacja stref wiatrowych miała miejsce ponad 15 lat temu. Znacznie dłuższe okresy pomiarowe i dobra jakość danych rejestrowanych na stacjach w ostatnich latach oraz wprowadzenie w niedalekiej przyszłości drugiej generacji norm Eurokod stwarza potrzebę sprawdzenia tych stref i ewentualnej ich korekty. W pracy przedstawiono podstawy teoretyczne estymacji wartości charakterystycznych zmiennych losowych w kontekście prędkości wiatru, dokonano kompleksowego przeglądu praktycznych metod stosowanych w tym celu oraz podsumowano obecną sytuację w Polsce. Omówiono również zagadnienia związane z niejednorodności danych wiatrowych rejestrowanych na stacjach meteorologicznych, ilustrując je przykładem.
Źródło:
Archives of Civil Engineering; 2023, 69, 3; 217--237
1230-2945
Pojawia się w:
Archives of Civil Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparative Analysis of NOMA and OMA Schemes: GSVD-based NOMA Systems and the Role of Mobile Edge Computing
Autorzy:
Dursun, Yunus
Powiązania:
https://bibliotekanauki.pl/articles/24200752.pdf
Data publikacji:
2023
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
generalized singular value decomposition
MIMO
mobile edge computing
non-orthogonal multiple-access
Opis:
This paper presents a comprehensive study that examines the fundamental concept of the non-orthogonal multiple access (NOMA) scheme and provides its detailed comparison with the orthogonal multiple access (OMA) technique. Furthermore, the paper explores the application of the generalized singular value decomposition (GSVD) method in conjunction with NOMA, accompanied by a detailed review of GSVD-based NOMA systems. This study also introduces the concept of mobile edge computing (MEC) and extensively discusses its key parameters. Furthermore, a comprehensive analysis of NOMA MEC is presented, shedding light on its potential advantages and challenges. The aims of this study are to provide a comprehensive understanding of the aforementioned topics and contribute to the advancement of MIMO-NOMA systems.
Źródło:
Journal of Telecommunications and Information Technology; 2023, 3; 11--20
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and asymptotic stability for generalized elasticity equation with variable exponent
Autorzy:
Dilmi, Mohamed
Otmani, Sadok
Powiązania:
https://bibliotekanauki.pl/articles/29519335.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
asymptotic stability
variable exponent Lebesgue
Sobolev spaces
generalized elasticity equation
Opis:
In this paper we propose a new mathematical model describing the deformations of an isotropic nonlinear elastic body with variable exponent in dynamic regime. We assume that the stress tensor σp(·) has the form $ σ^{p(·)}(u) =(2μ + |d(u)|^{p(·)−2}) d(u) + λTr (d(u)) I_3, $ where u is the displacement field, μ, λ are the given coefficients d(·) and I3 are the deformation tensor and the unit tensor, respectively. By using the Faedo-Galerkin techniques and a compactness result we prove the existence of the weak solutions, then we study the asymptotic behaviour stability of the solutions.
Źródło:
Opuscula Mathematica; 2023, 43, 3; 409-428
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Expectation properties of generalized order statistics based on the Gompertz-G family of distributions
Autorzy:
Alharbi, Yousef F.
Fawzy, Mohamad A.
Athar, Haseeb
Powiązania:
https://bibliotekanauki.pl/articles/27315313.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
generalized order statistics
expectation identities
Gompertz-G family of distributions
characterization
Opis:
Gompertz-G family of distributions has been considered. The moment properties of generalized order statistics were studied and characterization results have been presented. Further, several examples and special cases were discussed. The results can be applied to many known distributions included in this family.
Źródło:
Operations Research and Decisions; 2023, 33, 4; 1--14
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized observer design of index one for descriptor systems with unknown inputs
Autorzy:
Kumar, Abhinav
Gupta, Mahendra Kumar
Powiązania:
https://bibliotekanauki.pl/articles/27312001.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
descriptor systems
DAEs
unknown inputs
state estimation
generalized
observer
index
Opis:
Generalized observers are proposed to relax the existing conditions required to design Luenberger observers for rectangular linear descriptor systems with unknown inputs. The current work is focused on designing index one generalized observers, which can be naturally extended to higher indexes. Sufficient conditions in terms of system operators for the existence of generalized observers are given and proved. Orthogonal transformations are used to derive the results. A physical model is presented to show the usefulness of the proposed theory.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 83--99
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ℎ-Stability of set differential equations
Autorzy:
Boukthir, Sihem
Ghanmi, Boulbaba
Basdouri, Imed
Ichalal, Dalil
Lerbet, Jean
Powiązania:
https://bibliotekanauki.pl/articles/27324010.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
ℎ-stability
Lyapunov theory
set-valued differential
generalized Hukuhara derivative
perturbed system
cascaded systems
Opis:
In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory. Then, based on the obtained results, we study the ℎ-stability of perturbed and cascaded systems. Finally, an example illustrates the proposed theorems.
Źródło:
Archives of Control Sciences; 2023, 33, 4; 761--788
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyper-parametric Generalized Autoregressive Scores (GASs): an application to the price of United States cooking gas
Autorzy:
Olanrewaju, Rasaki Olawale
Olanrewaju, Sodiq Adejare
Isamot, Omodolapo Waliyat
Powiązania:
https://bibliotekanauki.pl/articles/19322653.pdf
Data publikacji:
2023-09-08
Wydawca:
Główny Urząd Statystyczny
Tematy:
Asymmetric Student-t
Generalized Autoregressive Score
hyper-parameters
score
information
Opis:
This paper presents the framework of the Generalized Autoregressive Score (GAS) model with a variety of symmetric conditional densities of different time-varying hyperparameters. The distinctive trait and goal of the observation-driven GAS model is to use its score and information functions as the compeller of time-variation via hyper-parameters of conditional densities. 10 robust hyper-parametric conditional densities were used as random error drivers for the GAS model with an application to the price of the United States cooking gas in the period between 2005 and 2020. Out of the 10 robust hyper-parametric conditional noises for the GAS model, the Asymmetric Student–t with one tail decay parameter (AST1) outperformed other categories of its variants and other conditional densities subjected to the GAS model, achieving a minimum reduced-error performance of AIC=11943.277 and BIC=12014.525. The hyper-parametric model obtained a location score and scale score of - 1.2634 and 0.6636, respectively, while its location information and scale information was 0.2691 and 0.0362, respectively. Furthermore, the GAS model via AST1 proved more efficient than the core volatile conditional heteroscedasticity model of the Generalized Autoregressive Conditional Heteroscedasticity (GARCH) at GARCH (1,1) via a Gaussian distributed noise.
Źródło:
Statistics in Transition new series; 2023, 24, 4; 93-107
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems
Autorzy:
Antczak, Tadeusz
Arana-Jimenéz, Manuel
Treanţă, Savin
Powiązania:
https://bibliotekanauki.pl/articles/29519358.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nondifferentiable multiobjective fractional variational control problem
efficient solution
optimality conditions
generalized univexity
Mond-Weir duality
Wolfe duality
Opis:
In this paper, we consider the class of nondifferentiable multiobjective fractional variational control problems involving the nondifferentiable terms in the numerators and in the denominators. Under univexity and generalized univexity hypotheses, we prove optimality conditions and various duality results for such nondifferentiable multiobjective fractional variational control problems. The results established in the paper generalize many similar results established earlier in the literature for such nondifferentiable multiobjective fractional variational control problems.
Źródło:
Opuscula Mathematica; 2023, 43, 3; 335-391
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the constrained and unconstrained controllability of semilinear Hilfer fractional systems
Autorzy:
Sikora, Beata
Powiązania:
https://bibliotekanauki.pl/articles/27312002.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
Hilfer fractional derivative
fractional systems
semilinear control systems
nonautonomous systems
Rothe's fixed point theorem
generalized Darbo fixed point theorem
Opis:
In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed. The formula for a solution of the considered systems is presented and derived using the Laplace transform. Bounded nonlinear function f depending on a state and controls is used. New sufficient conditions for controllability without constraints are formulated and proved using Rothe’s fixed point theorem and the generalized Darbo fixed point theorem. Moreover, the stability property is used to formulate constrained controllability criteria. An illustrative example is presented to give the reader an idea of the theoretical results obtained. A transient process in an electrical circuit described by a system of Hilfer type fractional differential equations is proposed as a possible application of the study.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 155--178
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Psychometric properties of the Polish version of the Generalized Anxiety Disorder Scale (GAD-7) in a non-clinical sample of employees during pandemic crisis
Autorzy:
Basińska, Beata A.
Kwissa-Gajewska, Zuzanna
Powiązania:
https://bibliotekanauki.pl/articles/21375403.pdf
Data publikacji:
2023-11-13
Wydawca:
Instytut Medycyny Pracy im. prof. dra Jerzego Nofera w Łodzi
Tematy:
anxiety
measurement invariance
pandemics
Generalized Anxiety Disorder 7-item scale
multigroup confirmatory factor analysis
employee wellbeing
Opis:
Objectives The COVID-19 outbreak is an example of a crisis that triggered an increase in generalized anxiety disorder. The study aims to validate the Polish version of the Generalized Anxiety Disorder 7-item scale (GAD-7) by Spitzer et al. among a non-clinical sample of employees and examine the invariance depending on the gender and age of working adults. Material and Methods For assessing factor structure of the Polish version of the GAD-7, the data were collected from a sample of 821 adults employed in 4 economic sectors (health care, education, IT, public administration) during the initial phase of the COVID-19 pandemic in Poland (April 10–May 24, 2020). Due to differences in the severity of GAD symptoms across gender and age groups, the measurement invariance in these groups was tested. Results The results of a series of confirmatory factor analyses confirmed the unidimensionality of the GAD-7. The values of the composite reliability index and Cronbach’s α showed that it is a reliable tool. The GAD levels demonstrated strong relationships with professional burnout, psychological distress, and psychological complaints. These relationships were stronger than the relationships between these factors and job satisfaction. Construct, metric and scalar invariance across gender and age groups were documented. Women experienced more severe symptoms of generalized anxiety disorder than men. Generalized anxiety disorder affected 28% of respondents. Conclusions This study contributes evidence of the validation of the GAD among employees and also confirms the invariance depending on gender and age. The Polish version of the GAD-7 has good psychometric properties in a group of professionals and can be recommended for research and to be used in an occupational medicine practice, especially during crisis periods associated with the risk of developing a generalized anxiety disorder.
Źródło:
International Journal of Occupational Medicine and Environmental Health; 2023, 36, 4; 493-504
1232-1087
1896-494X
Pojawia się w:
International Journal of Occupational Medicine and Environmental Health
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust flat filtering control of a two degrees of freedom helicopter subject to tail rotor disturbances
Autorzy:
Sánchez-Meza, Victor-Gabriel
Lozano-Hernández, Yair
Gutiérrez-Frías, Octavio
Lozada-Castillo, Norma
Luviano-Juárez, Alberto
Powiązania:
https://bibliotekanauki.pl/articles/24200696.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
flat filtering control
generalized proportional integral control
nonlinear system
tail rotor disturbance
two degrees of freedom helicopter
sterowanie całkujące
układ nieliniowy
zakłócenia wirnika
Opis:
This article deals with modelling and a flatness-based robust trajectory tracking scheme for a two degrees of freedom helicopter, which is subject to four types of tail rotor disturbances to validate the control scheme robustness. A mathematical model of the system, its differential flatness and a differential parametrization are obtained. The flat filtering control is designed for the system control with a partially known model, assuming the non-modelled dynamics and the external disturbances (specially the tail rotor ones) to be rejected by means of an extended state model (ultra-local model). Numerical and experimental assessments are carried out on a characterized prototype whose yaw angle (ψ), given by the z axis, is in free form, while the pitch angle (θ), which results from rotation about the y axis, is mechanically restricted. The proposed controller performance is tested through a set of experiments in trajectory tracking tasks with different disturbances in the tail rotor, showing robust behaviour for the different disturbances. Besides, a comparison study against a widely used controller of LQR type is carried out, in which the proposed controller achieves better results, as illustrated by a performance index.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 4; 521--535
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some closed form series solutions for the time-fractional diffusion-wave equation in polar coordinates with a generalized Caputo fractional derivative
Autorzy:
Elkott, Ibrahim
Abdel-Latif, Mohamed S.
El-Kalla, Ibrahim L.
Abdel Kader, Abass H.
Powiązania:
https://bibliotekanauki.pl/articles/24201502.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
generalized time-fractional Caputo derivative
generalized Laplace transform
Hankel transform
diffusion-wave equation
uogólniona ułamkowa pochodna Caputo w czasie
uogólniona transformata Laplace'a
transformata Hankela
równanie fali dyfuzyjnej
Opis:
In this paper, we obtain some closed form series solutions for the time fractional diffusion-wave equation (TFDWE) with the generalized time-fractional Caputo derivative (GTFCD) associated with a source term in polar coordinates. These solutions are found using generalized Laplace and Hankel transforms. We obtained the closed form series solutions in the form of the Polygamma function. The effect of the fractional order derivative on the diffusion-wave variable is illustrated graphically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 5--14
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 484

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