Vladimir Vinogradov

Refined Large Deviation Limit Theorems (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 224
• Erscheinungstermin: 14. Juni 2023
• Englisch
• ISBN-13: 9781000948349
• Artikelnr.: 68206238

Autorenporträt

Vinogradov\, Vladimir

Inhaltsangabe

Introduction 1. Asymptotic Expansions Taking into Account the Cases when
the Number of Summands Comparable with the Sum is Less than or Equal to Two
2. Asymptotic Expansions of the Probabilities of Large Deviations and
Non-Uniform Estimates of Remainders in CLT 3. Asymptotic Expansions Taking
into Account the Cases when the Number of Summands Comparable with the Sum
Does not Exceed a Fixed Integer 4. Limit Theorems on Large Deviations for
Order Statistics 5. Large Deviations for I.I.D. Random Sums When Cramer's
Condition is Fulfilled Only on a Finite Interval

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Introduction 1. Asymptotic Expansions Taking into Account the Cases when the Number of Summands Comparable with the Sum is Less than or Equal to Two 2. Asymptotic Expansions of the Probabilities of Large Deviations and Non-Uniform Estimates of Remainders in CLT 3. Asymptotic Expansions Taking into Account the Cases when the Number of Summands Comparable with the Sum Does not Exceed a Fixed Integer 4. Limit Theorems on Large Deviations for Order Statistics 5. Large Deviations for I.I.D. Random Sums When Cramer's Condition is Fulfilled Only on a Finite Interval