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Random Summation

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Random Summation

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Author : Boris V. Gnedenko
language : en
Publisher: CRC Press
Release Date : 2020-07-24

Random Summation written by Boris V. Gnedenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Mathematics categories.

This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop. Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.

Random Summation

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Author : Boris V. Gnedenko
language : en
Publisher: CRC Press
Release Date : 1996-03-27

Sound Systems Design And Optimization

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Author : Bob McCarthy
language : en
Publisher: Taylor & Francis
Release Date : 2012-11-12

Sound Systems Design And Optimization written by Bob McCarthy and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Technology & Engineering categories.

With this definitive guide to sound reinforcement design and optimization, Bob McCarthy shares his expert knowledge and effective methodology developed from decades of field and teaching experience. This book is written for the field professional as well as the consultant or student, in a clear and easy-to-read style and illustrated with color diagrams and screenshots throughout. McCarthy's unique guide reveals the proven techniques to ensure that your sound system design can be optimized for maximum uniformity over the space. The book follows the audio signal path from the mix console to the audience and provides comprehensive information as to how the sound is spread over the listening area. The complex nature of the physics of speaker interaction over a listening space is revealed in terms readily understandable to audio professionals. Complex speaker arrays are broken down systematically and the means to design systems that are capable of being fully optimized for maximum spatial uniformity is shown. The methods of alignment are shown, including measurement mic placement, and step-by-step recipes for equalization, delay setting, level setting, speaker positioning and acoustic treatment. These principles and techniques are applicable to the simplest and most complex systems alike, from the single speaker to the multi-element "line array.

Counterexamples In Probability And Statistics

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Author : A.F. Siegel
language : en
Publisher: Routledge
Release Date : 2017-11-22

Counterexamples In Probability And Statistics written by A.F. Siegel and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.

This volume contains six early mathematical works, four papers on fiducial inference, five on transformations, and twenty-seven on a miscellany of topics in mathematical statistics. Several previously unpublished works are included.

Computational Methods In Physics

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Author : Simon Širca
language : en
Publisher: Springer Nature
Release Date : 2025-04-01

Computational Methods In Physics written by Simon Širca and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-01 with Science categories.

This textbook provides a compendium of numerical methods to assist physics students and researchers in their daily work. It carefully considers error estimates, stability and convergence issues, the choice of optimal methods, and techniques to increase program execution speeds. The book supplies numerous examples throughout the chapters that are concluded by more comprehensive problems with a strong physics background. Instead of uncritically employing modern black-box tools, the readers are encouraged to develop a more ponderous and skeptical approach. This revised and expanded edition now includes a new chapter on numerical integration and stable differentiation, as well as fresh material on optimal filtering, integration of gravitational many-body problems, computation of Poincaré maps, regularization of orbits, singular Sturm-Liouville problems, techniques for time evolution and spatial treatment of (semi)infinite domains in spectral methods, and phase retrieval. It also brings updated discussions of algebraic problems involving sparse matrices and of high-resolution schemes for partial differential equations.

Money Capital In The Theory Of The Firm

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Author : Douglas Vickers
language : en
Publisher: Cambridge University Press
Release Date : 1987-06

Money Capital In The Theory Of The Firm written by Douglas Vickers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-06 with Business & Economics categories.

This book makes an important contribution to the formation of new and analytically richer perspectives in the important area of economics it addresses.

Level Crossing Problems And Inverse Gaussian Distributions

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Author : Vsevolod K. Malinovskii
language : en
Publisher: CRC Press
Release Date : 2021-07-25

Level Crossing Problems And Inverse Gaussian Distributions written by Vsevolod K. Malinovskii and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-25 with Mathematics categories.

Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations focusses on the inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework. This approximation, whose name was coined by the author, is a successful competitor of the normal (or Cramér's), diffusion, and Teugels’ approximations, being a breakthrough in its conditions and accuracy. Since such approximations underlie numerous applications in risk theory, queueing theory, reliability theory, and mathematical theory of dams and inventories, this book is of interest not only to professional mathematicians, but also to physicists, engineers, and economists. People from industry with a theoretical background in level-crossing problems, e.g., from the insurance industry, can also benefit from reading this book. Features: Primarily aimed at researchers and postgraduates, but may be of interest to some professionals working in related fields, such as the insurance industry Suitable for advanced courses in Applied Probability and, as a supplementary reading, for basic courses in Applied Probability

Nrl Report

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Author :
language : en
Publisher:
Release Date : 1973

Nrl Report written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Naval research categories.

Causation Prediction And Search

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Author : Peter Spirtes
language : en
Publisher: MIT Press
Release Date : 2001-01-29

Causation Prediction And Search written by Peter Spirtes and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-29 with Computers categories.

The authors address the assumptions and methods that allow us to turn observations into causal knowledge, and use even incomplete causal knowledge in planning and prediction to influence and control our environment. What assumptions and methods allow us to turn observations into causal knowledge, and how can even incomplete causal knowledge be used in planning and prediction to influence and control our environment? In this book Peter Spirtes, Clark Glymour, and Richard Scheines address these questions using the formalism of Bayes networks, with results that have been applied in diverse areas of research in the social, behavioral, and physical sciences. The authors show that although experimental and observational study designs may not always permit the same inferences, they are subject to uniform principles. They axiomatize the connection between causal structure and probabilistic independence, explore several varieties of causal indistinguishability, formulate a theory of manipulation, and develop asymptotically reliable procedures for searching over equivalence classes of causal models, including models of categorical data and structural equation models with and without latent variables. The authors show that the relationship between causality and probability can also help to clarify such diverse topics in statistics as the comparative power of experimentation versus observation, Simpson's paradox, errors in regression models, retrospective versus prospective sampling, and variable selection. The second edition contains a new introduction and an extensive survey of advances and applications that have appeared since the first edition was published in 1993.

Stochastic Models Of Structural Plasma Turbulence

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Author : Victor Yu Korolev
language : en
Publisher: Walter de Gruyter
Release Date : 2006

Stochastic Models Of Structural Plasma Turbulence written by Victor Yu Korolev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Random Summation

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