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This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems.

While *Approximation Methods in Probability Theory* will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful.

- Series:
**Universitext** - Author:
**Vydas ÄekanaviÄius (auth.)** - Year:
**2016** - Publisher:
**Springer** - Language:
**English** - ISBN:
**978-3-319-34071-5, 978-3-319-34072-2**

- File size:
**2 368 572** - Format:
**pdf**

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This text contains ample material for a one term precalculus introduction to probability theory. lt can be used by itself as an elementary introducĀ tion to probability, or as the probability half of a one-year probabilityĀ statistics course. Although the...

Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is sui...

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 10th - 26th July, 1995. These lectures are at a postgraduate research level. They are works of reference in their domain....

The aim of this book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, incl...

Well-written introduction covers probability theory from two or more random variables, reliability of such multivariable structures, theory of random function, Monte Carlo methods for problems incapable of exact solution, more....

Probabilists and fuzzy enthusiasts tend to disagree about which philosophy is best and they rarely work together. As a result, textbooks usually suggest only one of these methods for problem solving, but not both. This book, with contributions from 15 exp...

This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide rang...

This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with differen...

Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational scienc...

Since its launching in 1955, rational-emotive therapy (RET) has become one of the most influential forms of counseling and psychotherapy used by literally thousands of mental health practitioners throughout the world. From its beginnings, RET has dealt wi...

The most rewarding aspect of writing a book is receiving encouraging comments from one's colleagues, since one always wonders whether fair coverage was made of the work of others or whether some omissions were made. I feel very fortunate that many colleag...

Recent developments in basic science and clinical rheumatology make it appropriate at this time to create a volume devoted to the immunology of rheumatic diseases. The impact of molecular biology, gene cloning, and new technologies for establishing hybrid...

This book is based on the proceedings of a conference held in Tubingen, West Germany, in 1981, at which anesthesiologists, neuroĀ surgeons, pathologists and neurophysiologists met to consider the place of controlled hypotension in neurosurgery. In the fir...

The first systematic methods of Fourier analysis date from the early eighteenth century with the work of Joseph Fourier on the problem of the flow of heat. (A brief history is contained in the first paper.) Given the initial temperaĀ ture at all points of...

Here is one of the first really thorough presentations on smart robots. Robots, machine vision systems, sensors, manipulators, expert systems, and artificial intelligence concepts combined in state-of-the-art computer integrated manufacturing systems. The...

Automation has been employed for many years to provide a multitude of reasonably priced products for the American consumer. However, it has become evident that its real character as a manufacturing systems approach needs to be examined carefully for a bet...

Many books have been written about cancer immunology. However, the subject is still in its infancy regarding full understanding of the complex mechanisms and interactions involved and their relevance to the clinical situation. Exciting developments are be...

In the evaluation of patients who have or are suspected indebted to these contributors. This word of thanks falls to have cardiac disease, the use of ultrasound is now an short of my true appreciation for their efforts. established and widely accepted app...

This book introduces an innovative and high-efficiency technology for mechanical energy harvesting. The book covers the history and development of triboelectric nanogenerators, basic structures, working principles, performance characterization, and potent...