Stochastics

This book presents essential tools for modelling non-linear time series.

The study of the ocean is almost as old as the history of mankind itself.

This book presents the refereed proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held in Ulm, Germany, in August 2006.

The Volume 1 book on Accelerating Discoveries in Data Science and Artificial Intelligence (Proceedings of ICDSAI 2023), that was held on April 24-25, 2023 by CSUSB USA, the International Association of Academicians (IAASSE), and the Lendi Institute of Engineering and Technology, Vizianagaram, India is intended to be used as a reference book for researchers and practitioners in the disciplines of AI and data science.

This is a unique volume by a unique scientist, which combines conceptual, formal, and engineering approaches in a way that is rarely seen.

These proceedings focus on future prospects as well as on the present status in some important areas of applied probability and mathematical biology.

A concise, elementary introduction to measure and integration theory, requiring few prerequisites as theory is developed quickly and simply.

This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems.

The book presents, for the first time, a detailed analysis of harmonizable processes and fields (in the weak sense) that contain the corresponding stationary theory as a subclass.

The aim of stochastic programming is to find optimal decisions in problems which involve uncertain data.

Stochastic geometry deals with models for random geometric structures.

It is well-known that modern stochastic calculus has been exhaustively developed under usual conditions.

This book is concerned with a class of discrete-time stochastic control processes known as controlled Markov processes (CMP's), also known as Markov decision processes or Markov dynamic programs.

This book focuses on the application and development of information geometric methods in the analysis, classification and retrieval of images and signals.

This book introduces the Learning-Augmented Network Optimization (LANO) paradigm, which interconnects network optimization with the emerging AI theory and algorithms and has been receiving a growing attention in network research.

The 5th edition of Ross's Simulation continues to introduce aspiring and practicing actuaries, engineers, computer scientists and others to the practical aspects of constructing computerized simulation studies to analyze and interpret real phenomena.

The Prague Symposia on Asymptotic Statistics represent a twenty years' tradi- tion of contacts between Czech mathematical statisticians and the conference partic- ipants.

Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena.

This book presents selected peer-reviewed contributions from the International Conference on Time Series and Forecasting, ITISE 2018, held in Granada, Spain, on September 19-21, 2018.

This book addresses a modern topic in reliability: multi-state and continuous-state system reliability, which has been intensively developed in recent years.

This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations.

The vast majority of important applications in science, engineering and applied science are characterized by the existence of multiple minima and maxima, as well as first, second and higher order saddle points.

This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability.

This book focuses on recent advances, approaches, theories and applications related to mixture models.

This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment.

The central concepts in this book are Lebesgue measure and the Lebesgue integral.

This volume presents an eclectic mix of original research articles in areas covering the analysis of ordered data, stochastic modeling and biostatistics.

Stochastik ist zugleich die Mathematik des Zufalls und eine interdisziplinäre Wissenschaft mit stetig wachsender Bedeutung.

Expanding on the first edition of An Introduction to Continuous-Time Stochastic Processes, this concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes.

Anhand vieler Anwendungsbeispiele aus den Wirtschafts- und Sozialwissenschaften
bietet dieses Buch eine praxisorientierte Einführung in die deskriptive und induktive
Statistik sowie in die Grundlagen der Wahrscheinlichkeitsrechnung.

This book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics.

These notes revolve around three similarity problems, appearing in three dif- ferent contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H.

The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc.

This book presents the theory and methods of flexible and generalized uncertainty optimization.

This accessible text/reference provides a general introduction to probabilistic graphical models (PGMs) from an engineering perspective.

The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Levy processes.

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation.

This book contains articles arising from a conference in honour of mathematician-statistician Mikl?

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method.

Exercises for Section 2 42 Physical sciences and engineering 42 43 Biological sciences 45 Social sciences Solutions to Exercises, Section 1 47 Physical sciences and engineering 47 49 Biological sciences 49 Social sciences Solutions to Exercises, Section 2 51 51 PhYSical sciences and engineering 55 Biological sciences 58 Social sciences 62 Tables 2 62 x - tests involving variances 2 63,64 x - one tailed tests 2 65 x - two tailed tests F-distribution 66-69 Preface This project started some years ago when the Nuffield Foundation kindly gave a grant for writing a pro- grammed text to use with service courses in statistics.

Artificial neural networks and genetic algorithms both are areas of research which have their origins in mathematical models constructed in order to gain understanding of important natural processes.

This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate).

Queueing Theory deals with systems where there is contention for resources, but the demands are only known probabilistically.

This book sheds light on how Member States and EU neighbours relate to Russia.

This book provides new theories, applications and quantitative methods in demography, population studies and statistics.

Clustering and Classification, Data Analysis, Data Handling and Business Intelligence are research areas at the intersection of statistics, mathematics, computer science and artificial intelligence.