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basic functions for Computational Implementation of the Box-Cox Symmetric Class of Distributions

Open Journal of Statistics 2021年第6期11卷 1010-1016页

作者： Giovana Fumes-Ghantous José Eduardo Corrente Basic Science Department Faculty of Animal Science and Food Engineering University of S&atilde o Paulo S&atilde o Paulo Brazil Research Support Office Botucatu Medical School University of S&atilde o Paulo State Botucatu Brazil

A class of distributions called Box-Cox symmetric was proposed for random variables with asymmetric distributions. This class allows through its structure an interpretation of the parameters in terms of quantiles (in particular, the median), relative dispersion and skewness. This study presents the initial results of the computational development of basic functions of each of the distributions that make up the Box-Cox symmetric class. Four functions have been developed to compose a routine in software R up to now. These functions are related to random numbers generation, probability density function, cumulative distribution function, and quantile function associated to a given probability. Examples of implemented functions were presented. The gamlss routine was used to check the performance of developed functions.

关键词： Asymmetric Distributions basic functions Box-Cox Symmetric Class

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Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions

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TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE 2018年第3期172卷 299-308页

作者： Agheli, Bahram Islamic Azad Univ Dept Math Qaemshahr Branch Qaemshahr Iran

In this paper, a method has been proposed to finding a numerical function for the Riccati differential equations of non integer order (FRDEs), in which trigonometric basic functions are used. First, by defining trigonometric basic functions, we define the values of the transformation function in relation to trigonometric basis functions (TBFs). Following that, the numerical function is defined as a linear combination of trigonometric base functions and values of transform function which is named trigonometric transform method (TTM), and the convergence of the method is also presented. To get a numerical solution function with discrete derivatives of the solution function, we have determined the numerical solution function which satisfies the FRDEs. In the end, the algorithm of the method is elaborated with several examples. Numerical results obtained show that the proposed algorithm gives very good numerical solutions. In one example, we have presented an absolute error comparison of some numerical methods. (C) 2018 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.

关键词： Trigonometric transform Riccati differential equations basic functions Caputo derivative

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Classification Scheme of Methods, Principles and Models of Construction of Hardware for Implementation of Function-specific Drivers of Primitive basic functions Based on System Analysis 13

Classification Scheme of Methods, Principles and Models of C...

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13th International Conference on Experience of Designing and Application of CAD Systems in Microelectronics (CADSM)

作者： Vladimir, Lukashenko Viktor, Spivak Andrii, Lukashenko NAS Ukraine EO Paton Elect Welding Inst 11 Bozhenko Str Kiev Ukraine Natl Tech Univ Ukraine KPI Kiev Ukraine

developed a Classification scheme of methods, principles and models of construction of hardware for implementation of function-specific drivers of primitive basic functions based on system analysis.

ISBN: (纸本)9786176077169

developed a Classification scheme of methods, principles and models of construction of hardware for implementation of function-specific drivers of primitive basic functions based on system analysis.

关键词： Classification scheme methods models principles basic functions

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The Digital Integration Path of Aesthetic Education and Ideological Education: Based on the Design Application of China's Yao Ethnic Group's Ecological Textile Process 16th

The Digital Integration Path of Aesthetic Education and Ideo...

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16th International Conference on Cross-Cultural Design (CCD) Held as Part of the 26th International Conference on Human-Computer Interaction (HCII)

作者： Yuan, Xing Chuprina, Nataliia Wang, Tiantian Kyiv Natl Univ Technol & Design UA-01011 Kiev Ukraine Hezhou Univ Sch Culture & Media Hezhou 542899 Peoples R China Shaanxi Univ Sci & Technol Xian 710021 Peoples R China

ISBN: (纸本)9783031609039;9783031609046

This study explores the basic functions of China's Yao ethnic group's ecological textile technology in terms of protection, healthcare, identity recognition, historical records, and decorative beautification. It analyzes the historical value, aesthetic education value, and ideological and political value embedded in it. Based on this, the article proposes a feasible digital integration path combining aesthetic education and ideological and political education, creating new possibilities and opportunities for aesthetic education and ideological and political education. The article emphasizes how to utilize digital technology and tools to promote the integration of aesthetic education and ideological education, particularly in conjunction with innovative development strategies of Yao ethnic group's ecological textile process. This line of thinking can provide a continuous creative basis and cultural material source for current and future design, art, and cultural activities, while showcasing the rich cultural connotations and visual imagery of the Chinese nation.

关键词： Yao Ethnic Group Ecological Textile Process basic functions Value Analysis Innovative Strategies

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A weighted invariant trace formula

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ANNALES MATHEMATIQUES DU QUEBEC 2024年第1期48卷 79-112页

作者： Wong, Tian An Univ Michigan 4901 Evergreen Rd Dearborn MI 48128 USA

This paper begins a new approach to the r-trace formula, without removing the nontempered contribution to the spectral side. We first establish an invariant trace formula whose discrete spectral terms are weighted by automorphic L-functions. This involves extending the results of Finis, Lapid, and Muller on the continuity of the coarse expansion of Arthur's noninvariant trace formula to the refined expansion, and then to the invariant trace formula, while incorporating the use of basic functions at unramified places.

关键词： Stable trace formula basic functions

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Trigonometric F^mn-transform of multi-variable functions and its application to the partial differential equations and image processing

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SOFT COMPUTING 2022年第24期26卷 13301-13331页

作者： Alikhani, R. Perfilieva, Irina Ganjeh-Alamdari, M. Univ Tabriz Dept Math Tabriz Iran Univ Ostrava Inst Res & Applicat Fuzzy Modeling 30 Dubna 22 Ostrava 70103 1 Czech Republic

In this study, we focus on the extension of the trigonometric F-transform for functions in one variable to: (i) a larger domain, (ii) a higher degree of the F-m-transform, and (iii) many-variable functions to improve its approximation properties over the entire domain and especially at its boundaries. In addition, the properties of approximation and convergence of direct and inverse extended and multidimensional trigonometric F-m-transforms are discussed. Then, direct formulas for partial derivatives of functions of several variables are obtained in terms of trigonometric F-m-transforms, which are used to solve the Cauchy problem for the transport equation. A new image compression method is proposed and compared with well-established compression methods such as JPEG, JPEG 2000 and their less complex variations JPEG(APDCBT), JPEG(APUBT3), APUBT3-NUP, and JPEG-FT. We have shown that this (t) (F) over bar (11)-transform image compression method has high accuracy and reasonably low (irreducible) complexity.

关键词： F-transform of multi-variable functions Trigonometric F-m-transform Fuzzy partitions basic functions Approximation Partial differential equations Transport equation Image processing

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Algorithms of multidimensional random process simulation

COMPUTER OPTICS

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COMPUTER OPTICS 2021年第4期45卷 627-+页

作者： Syuzev, V. V. Smirnova, E., V Proletarsky, A., V Bauman Moscow State Tech Univ 2nd Baumanskaya St 5-1 Moscow 105005 Russia

The article discusses two approaches to modeling signals and processes: the method of filter construction and the trigonometric method. It is shown that the later approach is more promising, since an increase in the signal/process representation dimension mathematically means adding a term to the basis function formula, which gives access to fast simulation algorithms. Examples of algorithms for multidimensional simulation of random processes using two methods are given and a software system that implements these algorithms is described. The results provided by the software system will allow you to predict characteristics of engineering projects (accuracy and speed of modeling algorithms). Due to the high relevance of and need for fundamental research of methods and algorithms for digital transformation of the component base, the digitalization of all aspects of activity, including the synthesis of new materials, the development of new methods for designing micro- and nano-systems, the article aims to expand the scope of the spectral method of simulating multidimensional processes using original algorithmic complexes.

关键词： random two-dimensional signal modeling and simulation of signals basic functions simulation Fourier series energy characteristics of signals power spectral density function autocorrelation function. software system ultra-fast information processing

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Time-varying beta in functional factor models: Evidence from China

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NORTH AMERICAN JOURNAL OF ECONOMICS AND FINANCE 2020年 54卷 101283-101283页

作者： Horvath, Lajos Li, Bo Li, Hemei Liu, Zhenya Univ Utah Dept Math Salt Lake City UT 84112 USA Beijing Int Studies Univ Business Sch Beijing 100024 Peoples R China Renmin Univ China Sch Finance Beijing 100872 Peoples R China Aix Marseille Univ CERGAM F-13090 Aix En Provence 02 France Renmin Univ China China Financial Policy Res Ctr Beijing 100872 Peoples R China

In this paper, we introduce a functional method to investigate how betas change over time in factor models. Based on the China A-share data, we drop the constant beta assumption in the CAPM and multi-factor models to estimate the time-varying betas directly from the functional data regression. The empirical results show that exposures to all risk factors have certain time-varying patterns in the Chinese A-share stock market.

关键词： Functional factor models Time-varying beta Functional regression Risk factors basic functions

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Possibilities of Introduction of Automated Operation on the Prague Metro 22

Possibilities of Introduction of Automated Operation on the ...

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22nd International Scientific Conference on Transport Means (Transport Means)

作者： Siroky, J. Nachtigall, P. Tischer, E. Magdechova, K. Univ Pardubice Fac Transport Engn Studentska 95 Pardubice 53210 Czech Republic

The issue of automated metro is a modern trend in rail transport. Its utilization is still mainly in the field of urban underground railways. This article shows the possibilities that the Prague Metro has in its expansion of the D line in the area of automatic operation. As a sub -part, the possibility of switching the current operation to automatic in the modification of the security equipment and new vehicles, was also solved. However, this option seems complex and inefficient. This article focuses on automated metro operation systems, their basic requirements and functions. There is also a definition of various degrees of automation and a description of differences in functions of individual types. This article gives also a basic overview of functions, which are necessary for an automated metro operation system. In the second part, the article provides for an analysis of automated metro systems in the world. The last part deals with various types of interlocking systems for the automated metro operation system, including their basic functions.

关键词： automated metro operation systems rail transport vehicles basic functions

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Research on Function Expansion and Realization Path of University Library in Big Data Era

Research on Function Expansion and Realization Path of Unive...

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2019 5th International Conference on Humanities and Social Science Research (ICHSSR 2019)

作者： Aying Zhang Guixia Li Zhenghong Li Harbin University Harbin Institute of Technology

The basic function of university libraries is to serve teaching and scientific *** need to complete the basic functions of administration, teaching tasks, information consultation, academic exchanges and social *** addition to fulfilling the basic functions, university libraries should give full play to the resource advantages of University libraries, develop potential functions and expand functional paths so as to provide socialized services for readers and enterprises and institutions in need of *** paper analyses the thought of function expansion of University library, and it is necessary for university library to carry out function expansion to meet the needs of social development and its own development.

关键词： university library realization path basic functions expanding ideas

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