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Stability Problems for Stochastic Models: Theory and Applications
  • Language: en
  • Pages: 370

Stability Problems for Stochastic Models: Theory and Applications

  • Type: Book
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  • Published: 2021-03-05
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  • Publisher: MDPI

The aim of this Special Issue of Mathematics is to commemorate the outstanding Russian mathematician Vladimir Zolotarev, whose 90th birthday will be celebrated on February 27th, 2021. The present Special Issue contains a collection of new papers by participants in sessions of the International Seminar on Stability Problems for Stochastic Models founded by Zolotarev. Along with research in probability distributions theory, limit theorems of probability theory, stochastic processes, mathematical statistics, and queuing theory, this collection contains papers dealing with applications of stochastic models in modeling of pension schemes, modeling of extreme precipitation, construction of statistical indicators of scientific publication importance, and other fields.

Stochastic Processes
  • Language: en
  • Pages: 216

Stochastic Processes

  • Type: Book
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  • Published: 2019-12-12
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  • Publisher: MDPI

The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.

Two-Sided Bounds on the Rate of Convergence for Continuous-Time Finite Inhomogeneous Markov Chains
  • Language: en
  • Pages: 11

Two-Sided Bounds on the Rate of Convergence for Continuous-Time Finite Inhomogeneous Markov Chains

  • Type: Book
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  • Published: 2014
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  • Publisher: Unknown

We suggest an approach to obtaining general two-sided bounds on the rate of convergence in terms of special “weighted” norms related to total variation. Some important classes of continuous-time Markov chains are considered: birth-death-catastrophes processes, queueing models with batch arrivals and group services, chains with absorption in zero.

Stability Problems for Stochastic Models: Theory and Applications
  • Language: en
  • Pages: 370

Stability Problems for Stochastic Models: Theory and Applications

  • Type: Book
  • -
  • Published: 2021
  • -
  • Publisher: Unknown

The aim of this Special Issue of Mathematics is to commemorate the outstanding Russian mathematician Vladimir Zolotarev, whose 90th birthday will be celebrated on February 27th, 2021. The present Special Issue contains a collection of new papers by participants in sessions of the International Seminar on Stability Problems for Stochastic Models founded by Zolotarev. Along with research in probability distributions theory, limit theorems of probability theory, stochastic processes, mathematical statistics, and queuing theory, this collection contains papers dealing with applications of stochastic models in modeling of pension schemes, modeling of extreme precipitation, construction of statistical indicators of scientific publication importance, and other fields.

From Asymptotic Normality to Heavy-Tailedness Via Limit Theorems for Random Sums and Statistics with Random Sample Sizes
  • Language: en

From Asymptotic Normality to Heavy-Tailedness Via Limit Theorems for Random Sums and Statistics with Random Sample Sizes

  • Type: Book
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  • Published: 2018
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  • Publisher: Unknown

This chapter contains a possible explanation of the emergence of heavy-tailed distributions observed in practice instead of the expected normal laws. The bases for this explanation are limit theorems for random sums and statistics constructed from samples with random sizes. As examples of the application of general theorems, conditions are presented for the convergence of the distributions of random sums of independent random vectors with finite covariance matrices to multivariate elliptically contoured stable and Linnik distributions. Also, conditions are presented for the convergence of the distributions of asymptotically normal (in the traditional sense) statistics to multivariate Student distributions. The joint asymptotic behavior of sample quantiles is also considered.

Stability Problems for Stochastic Models
  • Language: en
  • Pages: 240

Stability Problems for Stochastic Models

  • Type: Book
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  • Published: 2022-04-25
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  • Publisher: Mdpi AG

Most papers published in this Special Issue of Mathematics are written by the participants of the XXXVI International Seminar on Stability Problems for Stochastic Models, 21-25 June, 2021, Petrozavodsk, Russia. The scope of the seminar embraces the following topics: - Limit theorems and stability problems; - Asymptotic theory of stochastic processes; - Stable distributions and processes; - Asymptotic statistics; - Discrete probability models; - Characterization of probability distributions; - Insurance and financial mathematics; - Applied statistics; - Queueing theory; and other fields. This Special Issue contains 12 papers by specialists who represent 6 countries: Belarus, France, Hungary, India, Italy, and Russia.

Stochastic Processes: Theory and Applications
  • Language: en
  • Pages: 216

Stochastic Processes: Theory and Applications

  • Type: Book
  • -
  • Published: 2019
  • -
  • Publisher: Unknown

The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.

Probability, Combinatorics and Control
  • Language: en
  • Pages: 336

Probability, Combinatorics and Control

Probabilistic and combinatorial techniques are often used for solving advanced problems. This book describes different probabilistic modeling methods and their applications in various areas, such as artificial intelligence, offshore platforms, social networks, and others. It aims to educate how modern probabilistic and combinatorial models may be created to formalize uncertainties; to train how new probabilistic models can be generated for the systems of complex structures; to describe the correct use of the presented models for rational control in systems creation and operation; and to demonstrate analytical possibilities and practical effects for solving different system problems on each life cycle stage.

Analytical and Stochastic Modeling Techniques and Applications
  • Language: en
  • Pages: 483

Analytical and Stochastic Modeling Techniques and Applications

  • Type: Book
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  • Published: 2013-06-12
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 20th International Conference on Analytical and Stochastic Modelling and Applications, ASMTA 2013, held in Ghent, Belgium, in July 2013. The 32 papers presented were carefully reviewed and selected from numerous submissions. The focus of the papers is on the following application topics: complex systems; computer and information systems; communication systems and networks; wireless and mobile systems and networks; peer-to-peer application and services; embedded systems and sensor networks; workload modelling and characterization; road traffic and transportation; social networks; measurements and hybrid techniques; modeling of virtualization; energy-aware optimization; stochastic modeling for systems biology; biologically inspired network design.

Modern Probabilistic Methods for Analysis of Telecommunication Networks
  • Language: en
  • Pages: 224

Modern Probabilistic Methods for Analysis of Telecommunication Networks

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Springer

This book constitutes the refereed proceedings of the International Conference on Modern Probabilistic Methods for Analysis of Telecommunication Networks, Belarusian Winter Workshop in Queueing Theory, BWWQT 2013, held in Minsk, Belarus, in January 2013. The 23 revised full papers presented were carefully reviewed and selected from numerous submissions. The papers present new results in study and optimization of information transmission models in telecommunication networks using different approaches, mainly based on theories of queueing systems and queueing networks.