Two‐Part D‐Vine Copula Models for Longitudinal Insurance Claim Data

Author(s):  
Lu Yang ◽  
Claudia Czado
1989 ◽  
Vol 26 (03) ◽  
pp. 458-465 ◽  
Author(s):  
Jonathan Cohen

Let ∊ 1 ∊ 2, · ··, be a stationary sequence satisfying the weak long-range dependence condition Δ (un (τ)) of [3] for every τ > 0, where nP(∊ 1 > un (τ))→ τ . Assume only that P (there are j exceedances of un (τ) by ∊ 1, ∊ 2, · ··, ∊ n) converges for all j with 0≦j≦υ<∞ and a given fixedτ. Then the same holds for every τ> 0. For 0≦j≦υ the limit is P(X = j) where X is compound Poisson and the multiplicity distribution is independent ofτ. These results are extended to more general levels un and to cases where the joint distribution of the numbers of exceedances of several levels is considered. The limiting distributions of linearly normalized extreme order statistics are derived as a corollary. An application to insurance claim data is discussed.


Author(s):  
Gonzalo Pita ◽  
Jean-Paul Pinelli ◽  
Judith Mitrani-Reiser ◽  
Steve Cocke ◽  
Kurt Gurley

2014 ◽  
Vol 37 (1) ◽  
pp. 76-85 ◽  
Author(s):  
Dong-Sook Kim ◽  
Nam Kyung Je ◽  
Grace Juyun Kim ◽  
Hena Kang ◽  
Yoon Jin Kim ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document