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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 is the third in a series of short books on probability theory and random processes for biomedical engineers. This book focuses on standard probability distributions commonly encountered in biomedical engineering. The exponential, Poisson and Gaussian...

Probability Theory and Statistical Methods for Engineers describes the fundamental concepts and applications of probability and statistics. By bringing together modern probability theory with the more practical applications of statistics, it bridges th...

On the job or in the field, when facing a problem with differential equations and boundary conditions, most likely you donāt have time to read through several publications in search of a method that may or may not solve your problem. Organized for quick a...

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...

"Paradoxes provide a vehicle for exposing misinterpretations and misapplications of accepted principles. This book discusses seven paradoxes surrounding probability theory. Some remain the focus of controversy; others have allegedly been solved, however t...

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...

Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis....

In this introduction to probability theory, we deviate from the route usually taken. We do not take the axioms of probability as our starting point, but re-discover these along the way. First, we discuss discrete probability, with only probability mass fu...

Bolthausen E., Perkins E., van der Vaart A. Lectures on Probability Theory and Statistics. Ecole d'Ete de Probabilites de Saint-Flour XXIX, 1999 (LNM1781, Springer, 2002)(ISBN 9783540437369)(1s)_Mln_...

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...