Showing results for "Gaussian random processes German"

This book serves as a standard reference, making this area accessible not only to researchers in probability and statistics, but also to graduate students and practitioners. The book assumes only a first-year graduate course in probability. Each chapter begins with a brief overview and concludes with a wide range of exercises at varying levels of difficulty. The authors supply detailed hints for the more challenging problems, and cover many advances made in recent years.

Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).The book begins with preliminary results on covariance and associated RKHS

This volume first introduces the mathematical tools necessary for understanding and working with a broad class of applied stochastic models. The toolbox includes Gaussian processes, independently scattered measures such as Gaussian white noise and Poisson random measures, stochastic integrals, compound Poisson, infinitely divisible and stable distributions and processes.Next, it illustrates general concepts by handling a transparent but rich example of a “teletraffic model”. A minor tuning...

Introducing Discrete Random Processes, the definitive textbook for students and professionals in electrical engineering and related fields. This book is your gateway to understanding and applying the principles of random signals in discrete-time systems.Why this book?Bridging Theory and Practice: Seamlessly connects foundational concepts in probability and stochastic processes with practical, real-world engineering applications.Comprehensive Toolkit: Master essential a...

Gaussian processes can be viewed as a far-reaching infinite-dimensional extension of classical normal random variables. Their theory presents a powerful range of tools for probabilistic modelling in various academic and technical domains such as Statistics, Forecasting, Finance, Information Transmission, Machine Learning - to mention just a few. The objective of these Briefs is to present a quick and condensed treatment of the core theory that a reader must understand in order to make his ...

This book offers an introduction to the field of stochastic analysis of Hermite processes. These selfsimilar stochastic processes with stationary increments live in a Wiener chaos and include the fractional Brownian motion, the only Gaussian process in this class.Using the Wiener chaos theory and multiple stochastic integrals, the book covers the main properties of Hermite processes and their multiparameter counterparts, the Hermite sheets. It delves into the probability distributi...

This book discusses the theory, method and application of non-Gaussian random vibration fatigue analysis and test. The main contents include statistical analysis method of non-Gaussian random vibration, modeling and simulation of non-Gaussian/non-stationary random vibration, response analysis under non-Gaussian base excitation, non-Gaussian random vibration fatigue life analysis, fatigue reliability evaluation of structural components under Gaussian/non-Gaussian random loadings, non-Gaussi...

This comprehensive crypto almanac offers a deep dive into blockchain technology, decentralized finance (DeFi), and smart contracts, giving readers an accessible yet thorough understanding of how these systems are poised to transform the global economy.As the traditional financial infrastructure faces increasing scrutiny, DeFi has emerged as a powerful alternative, allowing individuals and businesses to engage in financial transactions without the need for intermediaries like banks....

Reading Randomness I: New Horizons for Understanding Fractal and Fractional Calculus shows readers how to understand and analyze seemingly “noisy” and irregular data. It offers practical methods for comparing and labeling fluctuations, ensuring reproducible results across laboratories, industries, and research fields.The book begins with a narrative tour of how people have understood chance, from ancient divination and games to modern probability, information theor...

Have you been trying to learn German and simply can’t find the way to expand your vocabulary?Do your teachers recommend you boring textbooks and complicated stories that you don’t really understand?Are you looking for a way to learn the language quicker without taking shortcuts?If you answered “Yes!” to at least one of those previous questions, then this book is for you! We’ve compiled the 2000 Most Common W...

In "Origin of Modern Calculating Machines," J. A. V. Turck embarks on an enriching exploration of the historical evolution and technical advancements of calculating machines from their inception to contemporary models. The book interlaces historical narrative with technical analysis, revealing how mathematical innovations catalyzed the development of early mechanical devices. Turck employs a meticulous literary style that is both engaging and informative, adeptly synthesizing complex conce...

This book provides the background and the mathematical methods necessary to understand the basic transforms in signal processing and linear systems and probability and random processes to prepare for in depth study of analog and digital communications systems.This tutorial presentation provides developments of Fourier series and other orthogonal series, including trigonometric and complex exponential Fourier series, least squares approximations and generalized Fourier series, and t...