Optimal stopping of a risk process
Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 335-342
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Optimal stopping time problems for a risk process $U_t=u+ct-\sum_{n=0}^{N(t)}X_n$ where the number N(t) of losses up to time t is a general renewal process and the sequence of $X_i$'s represents successive losses are studied. N(t) and $X_i$'s are independent. Our goal is to maximize the expected return before the ruin time. The main results are closely related to those obtained by Boshuizen and Gouweleew [2].
DOI :
10.4064/am-24-3-335-342
Keywords:
risk process, optimal stopping times
Affiliations des auteurs :
Elżbieta Ferenstein 1 ; Andrzej Sierociński 1
@article{10_4064_am_24_3_335_342,
author = {El\.zbieta Ferenstein and Andrzej Sieroci\'nski},
title = {Optimal stopping of a risk process},
journal = {Applicationes Mathematicae},
pages = {335--342},
year = {1997},
volume = {24},
number = {3},
doi = {10.4064/am-24-3-335-342},
zbl = {1002.60536},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-24-3-335-342/}
}
TY - JOUR AU - Elżbieta Ferenstein AU - Andrzej Sierociński TI - Optimal stopping of a risk process JO - Applicationes Mathematicae PY - 1997 SP - 335 EP - 342 VL - 24 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-24-3-335-342/ DO - 10.4064/am-24-3-335-342 LA - en ID - 10_4064_am_24_3_335_342 ER -
Elżbieta Ferenstein; Andrzej Sierociński. Optimal stopping of a risk process. Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 335-342. doi: 10.4064/am-24-3-335-342
Cité par Sources :