The preservation of classes of discrete distributions under convolution and mixing
From MaRDI portal
Publication:2492182
DOI10.1016/j.insmatheco.2005.10.001zbMath1090.60014OpenAlexW2026103592MaRDI QIDQ2492182
Jun Cai, Kristina P. Pavlova, Gordon E. Willmot
Publication date: 9 June 2006
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2005.10.001
discrete failure rateinclusiondiscrete equilibrium distributioncounting random variablediscrete hazard ratediscrete mean residual lifetimezero-truncated discrete distribution
Related Items (3)
Concentration inequalities from monotone couplings for graphs, walks, trees and branching processes ⋮ Preservation of reliability classes associated with the mean residual life by a renewal process stopped at a random time ⋮ Discrete Lundberg-type bounds with actuarial applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A property of logarithmically concave sequences
- The IFRA closure problem
- On the monotonic properties of discrete failure rates
- Aging and other distributional properties of discrete compound geometric distributions
- Lundberg approximations for compound distributions with insurance applications
- Random vectors with HNBUE-type marginal distributions
- Discrete hazard rate functions
- Monotonicity and aging properties of random sums
- On preservation of classes of life distributions under reliability operations: Some complementary results
- Proofs of the closure property of NBUC and NBU(2) under convolution
- The hnbue and hnwue classes of life distributions
- Classes of Discrete Decreasing and Increasing Mean-Residual-Life Distributions
- Preservation of certain classes of life distributions under Poisson shock models
- NWU property of a class of random sums
- Moment Inequalities for Discrete Ageing Families
- Equilibrium compound distributions and stop-loss moments
This page was built for publication: The preservation of classes of discrete distributions under convolution and mixing