Large deviations for some logarithmic means in the case of random variables with thin tails

Statistics & Probability Letters ◽

10.1016/j.spl.2018.02.066 ◽

2018 ◽

Vol 138 ◽

pp. 47-56 ◽

Author(s):

Rita Giuliano ◽

Claudio Macci

Keyword(s):

Large Deviations ◽

Random Variables ◽

Logarithmic Means

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ON LOGARITHMIC REFINING TERMS IN LIMIT THEOREMS TAKING INTO ACCOUNT LARGE DEVIATIONS OF SUMS OF INDEPENDENT RANDOM VARIABLES

Vol. 2 ◽

10.1515/9783112319024-056 ◽

1990 ◽

pp. 552-562

Keyword(s):

Large Deviations ◽

Limit Theorems ◽

Random Variables ◽

Independent Random Variables

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Large deviations of sums of random variables of two types

Asymptotic Analysis of Random Walks ◽

10.1017/cbo9780511721397.012 ◽

2010 ◽

pp. 427-438

Author(s):

A. A. Borovkov ◽

K. A. Borovkov

Keyword(s):

Large Deviations ◽

Random Variables ◽

Sums Of Random Variables

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Some limit theorems for large deviations of sums of independent random variables with a common distribution function from the domain of attraction of the normal law

Journal of Mathematical Sciences ◽

10.1007/s10958-005-0139-6 ◽

2005 ◽

Vol 127 (1) ◽

pp. 1767-1783 ◽

Author(s):

L. V. Rozovsky

Keyword(s):

Distribution Function ◽

Large Deviations ◽

Limit Theorems ◽

Random Variables ◽

Domain Of Attraction ◽

Independent Random Variables ◽

Common Distribution ◽

Common Distribution Function ◽

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Large deviations and moderate deviations for sums of negatively dependent random variables

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60234-8 ◽

2011 ◽

Vol 31 (1) ◽

pp. 344-352 ◽

Author(s):

Liu Li ◽

Wan Chenggao ◽

Feng Yanqin

Keyword(s):

Large Deviations ◽

Random Variables ◽

Moderate Deviations ◽

Dependent Random Variables ◽

Negatively Dependent Random Variables

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A contribution to the theory of large deviations for sums of independent random variables

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00535016 ◽

1967 ◽

Vol 7 (5) ◽

pp. 303-308 ◽

Author(s):

C. C. Heyde

Keyword(s):

Large Deviations ◽

Random Variables ◽

Independent Random Variables

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Large deviations of order n for sums of random variables related to a Markov chain

Lithuanian Mathematical Journal ◽

10.1007/bf00969849 ◽

1982 ◽

Vol 21 (4) ◽

pp. 306-312 ◽

Author(s):

P. Gudynas

Keyword(s):

Markov Chain ◽

Large Deviations ◽

Random Variables ◽

Sums Of Random Variables

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Lower Bounds for Probabilities of Large Deviations of Sums of Independent Random Variables

Theory of Probability and Its Applications ◽

10.1137/s0040585x97979330 ◽

2002 ◽

Vol 46 (4) ◽

pp. 728-735 ◽

Author(s):

S. V. Nagaev

Keyword(s):

Large Deviations ◽

Lower Bounds ◽

Random Variables ◽

Independent Random Variables ◽

Probabilities Of Large Deviations

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Elementary renewal theorems for widely dependent random variables with applications to precise large deviations

Communication in Statistics- Theory and Methods ◽

10.1080/03610926.2019.1586947 ◽

2019 ◽

Vol 49 (14) ◽

pp. 3352-3374

Author(s):

Yuebao Wang ◽

Dongya Cheng

Keyword(s):

Large Deviations ◽

Random Variables ◽

Precise Large Deviations ◽

Dependent Random Variables

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Efficient estimation of density and probability of large deviations of sum of IID random variables

Proceedings of the 2011 Winter Simulation Conference (WSC) ◽

10.1109/wsc.2011.6148072 ◽

2011 ◽

Author(s):

Santanu Dey ◽

Sandeep Juneja

Keyword(s):

Large Deviations ◽

Random Variables ◽

Efficient Estimation

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Precise large deviations for widely orthant dependent random variables with dominatedly varying tails

Frontiers of Mathematics in China ◽

10.1007/s11464-012-0227-0 ◽

2012 ◽

Vol 7 (5) ◽

pp. 919-932 ◽

Author(s):

Kaiyong Wang ◽

Yang Yang ◽

Jinguan Lin

Keyword(s):

Large Deviations ◽

Random Variables ◽

Precise Large Deviations ◽

Dependent Random Variables ◽

Dominatedly Varying Tails ◽

Widely Orthant Dependent

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