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Refined Large Deviation Limit Theorems

Vladimir Vinogradov
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advanced probability methods
Asymptotic Behavior
Asymptotic Expansion
Asymptotic Expansions of the Probabilities of Large Deviations and Non-Uniform Estimates of Remainders in CLT
Asymptotic Expansions Taking into Account the Cases when the Number of Summands Comparable with the Sum Does not Exceed a Fixed Integer
Asymptotic Expansions Taking into Account the Cases when the Number of Summands Comparable with the Sum is Less than or Equal to Two
Author_Vladimir Vinogradov
Category=PBT
Chebyshev Inequality
Common Distribution Function
Distribution Function
Edgeworth Expansion
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exact Asymptotics
Exponential Moments
Finite Absolute Moment
Induction Step
Large Deviation Principle
Large Deviations for I.I.D. Random Sums When Cramer's Condition Is Fulfilled Only on a Finite Interval.
Left Hand Tail
Limit Theorems on Large Deviations for Order Statistics.
Martingale Methods
Non-negative Integer
order statistics analysis
Polar Types
Power Tails
probability limit theorem applications
probability theory
Random Sums
random variable modeling
Rightmost Expression
Rightmost Term
Stationary Phase Method
statistical inference
Stochastic Exponential
stochastic processes
Subexponential Distributions
Tail Approximation
Uniform Estimate
Weak Convergence

Product details

  • ISBN 9780367449346
  • Weight: 560g
  • Dimensions: 174 x 246mm
  • Publication Date: 02 Dec 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Description
This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramér's condition on the finiteness of exponential moments may not be satisfied
About Vladimir Vinogradov

Dr. Vladimir Vinogradov is a Professor of Mathematics at Ohio University in Athens, Ohio. He earned his M.Sc. in Mathematics and Ph.D. in Probability and Statistics from Moscow State University with his dissertation published in his monograph "Refined Large Deviation Limit Theorems". Professor Vinogradov has taught in various post-secondary institutions of Canada, Japan, Russia and U.S.A., and held an NSERC Canada postdoctoral fellowship at Carleton University. His research focuses on various topics of Probability Theory, Stochastic Processes, Mathematical Statistics, Analysis and Financial Mathematics. Professor Vinogradov has published articles in many professional journals and presents frequently at national and international conferences. He has been recipient of a British Columbia – Asia Pacific Scholars' Award, and served on the Ontario Graduate Scholarships Committee as well as NSERC Canada external reviewer and graduate coordinator at the University of Northern British Columbia. Professor Vinogradov is advisor to Actuarial Science and Mathematical Statistics majors.

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