Asymptotic expansion in the large deviation zones of the distribution function of a random variable with a regular behavior of its semi-invariants

DOI10.1007/BF02986855zbMath0881.60031MaRDI QIDQ1366366

Leonas Saulis

Publication date: 30 October 1997

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionslarge deviationspower decrease rate

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10)

Cites Work

• On the relative performance of bootstrap and Edgeworth approximations of a distribution function
• Asymptotic expansions based on smooth functions in the central limit theorem
• Asymptotic expansion of the distribution function of a random variable with regular behavior of cumulants
• On large deviations
• On the Closeness of the Distributions of Two Sums of Independent Random Variables
• Large deviations of sums of independent random variables
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