ON A CONJECTURE FOR THE NONEXISTENCE OF THE EXPECTATION OF RANDOMLY STOPPED SUMS

Authors
LEFEVRE C UTEV S
Citation
C. Lefevre et S. Utev, ON A CONJECTURE FOR THE NONEXISTENCE OF THE EXPECTATION OF RANDOMLY STOPPED SUMS, Journal of Applied Probability, 32(4), 1995, pp. 1138-1141
Citations number
2
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
32
Issue
4
Year of publication
1995
Pages
1138 - 1141
Database
ISI
SICI code
0021-9002(1995)32:4<1138:OACFTN>2.0.ZU;2-5
Abstract
In a recent paper on the validity of Wald's equation, Roters (1994) ra ised an important question on the non-existence of the expectation of randomly stopped sums. The purpose of this note is to answer the quest ion in the affirmative. As a consequence, an old question by Taylor (1 972) also gets a positive answer.