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Simulation of Stochastic Processes with Given Accuracy and Reliability
- 1st Edition - November 22, 2016
- Authors: Yuriy V. Kozachenko, Oleksandr O. Pogorilyak, Iryna V. Rozora, Antonina M. Tegza
- Language: English
- Hardback ISBN:9 7 8 - 1 - 7 8 5 4 8 - 2 1 7 - 5
- eBook ISBN:9 7 8 - 0 - 0 8 - 1 0 2 0 8 5 - 2
Simulation has now become an integral part of research and development across many fields of study. Despite the large amounts of literature in the field of simulation and mo… Read more
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Request a sales quoteSimulation has now become an integral part of research and development across many fields of study. Despite the large amounts of literature in the field of simulation and modeling, one recurring problem is the issue of accuracy and confidence level of constructed models.
By outlining the new approaches and modern methods of simulation of stochastic processes, this book provides methods and tools in measuring accuracy and reliability in functional spaces.
The authors explore analysis of the theory of Sub-Gaussian (including Gaussian one) and Square Gaussian random variables and processes and Cox processes. Methods of simulation of stochastic processes and fields with given accuracy and reliability in some Banach spaces are also considered.
- Provides an analysis of the theory of Sub-Gaussian (including Gaussian one) and Square Gaussian random variables and processes
- Contains information on the study of the issue of accuracy and confidence level of constructed models not found in other books on the topic
- Provides methods and tools in measuring accuracy and reliability in functional spaces
Graduate and postgraduate students in modeling and simulation courses; Specialists in probability theory and mathematical statistics who are interested in the theory and applications of stochastic simulation
- No. of pages: 346
- Language: English
- Edition: 1
- Published: November 22, 2016
- Imprint: ISTE Press - Elsevier
- Hardback ISBN: 9781785482175
- eBook ISBN: 9780081020852
YK
Yuriy V. Kozachenko
Yuriy Kozachenko is Professor at Taras Shevchenko National University of Kyiv, Ukraine.Doctor of Sciences in Physics and Mathematics, Laureate of the State Prize of Ukraine in Science and Technology
Main scientific research interests relate to the study of the properties of random processes in various functional spaces, simulation and statistics of random processes, the theory of wavelet expansions of random processes. One of the founders of the theory of sub-Gaussian and φ-subGaussian random processes, random processes from Orlicz spaces. Determination of accuracy and reliability of computer simulation of random processes.
Author of over 300 scientific papers, several textbooks and seven monographs.
Affiliations and expertise
Professor, Taras Shevchenko National University of Kyiv, Faculty of Mathematics and Mechanics, UkraineOP
Oleksandr O. Pogorilyak
Associate professor at Department of Department of Probability Theory and Mathematical Analysis, UzhNU from 2008;
Her scientific interests are in the field of simulation of point stochastic processes and fields with given accuracy and reliability, e.g. Cox Processes driven by random intensity, analytical properties of point processes and fields. Author of more than 10 papers.
Affiliations and expertise
Associated Professor, Department of Mathematical Analysis, Uzhhorod National University, UkraineIR
Iryna V. Rozora
Associate professor at Department of Applied Statistics, TSNUK, Ukraine from 2011.
Her scientific interests are in the field of simulation of stochastic processes and fields with given accuracy and reliability in different Banach spaces, analytical properties of stochastic processes and fields; survey statistics. Author of more than 40 papers.
Affiliations and expertise
Associated Professor, Department of Applied Statistics, TSNUK, UkraineAT
Antonina M. Tegza
Associate professor at Department of Applied Statistics, from 2011.Her scientific interests are in the field of simulation of stochastic processes and fields with given accuracy and reliability in different Banach spaces, analytical properties of stochastic processes and fields; survey statistics. Author of more than 20 papers
Affiliations and expertise
Associate Professor, Department of Probability Theory and Mathematical Analysis, National University of Uzhhorod, UkraineRead Simulation of Stochastic Processes with Given Accuracy and Reliability on ScienceDirect