Closure property of consistently varying random variables based on precise large deviation principles
From MaRDI portal
Publication:5078107
DOI10.1080/03610926.2018.1459717OpenAlexW2802990593MaRDI QIDQ5078107
Duo Guo, Shi-jie Wang, Wen Sheng Wang
Publication date: 20 May 2022
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2018.1459717
Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Randomly stopped sums of not identically distributed heavy tailed random variables
- Random convolution of inhomogeneous distributions with \(\mathcal {O} \)-exponential tail
- Randomly stopped sums with consistently varying distributions
- Randomly stopped maximum and maximum of sums with consistently varying distributions
- Convolution and convolution-root properties of long-tailed distributions
- Ratio of the tail of an infinitely divisible distribution on the line to that of its Lévy measure
- Precise large deviations for dependent random variables with heavy tails
- On convolution tails
- Closure of some heavy-tailed distribution classes under random convolution
- On the random max-closure for heavy-tailed random variables
- The Maximum of Randomly Weighted Sums with Long Tails in Insurance and Finance
- A NOTE ON THE CLOSURE OF CONVOLUTION POWER MIXTURES (RANDOM SUMS) OF EXPONENTIAL DISTRIBUTIONS
- Sums of Pairwise Quasi-Asymptotically Independent Random Variables with Consistent Variation
This page was built for publication: Closure property of consistently varying random variables based on precise large deviation principles