CORRELATION AND VARIABILITY IN BIRTH PROCESSES

Authors
DONNELLY P KURTZ T MARJORAM P
Citation
P. Donnelly et al., CORRELATION AND VARIABILITY IN BIRTH PROCESSES, Journal of Applied Probability, 30(2), 1993, pp. 275-284
Citations number
7
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
30
Issue
2
Year of publication
1993
Pages
275 - 284
Database
ISI
SICI code
0021-9002(1993)30:2<275:CAVIBP>2.0.ZU;2-T
Abstract
Faddy (1990) has conjectured that the variability of a pure birth proc ess is increased, relative to the linear case, if the birth rates are convex and decreased if they are concave. We prove the conjecture by r elating variability to the correlation structure of certain more infor mative versions of the process. A correlation inequality due to Harris (1977) is used to derive the necessary positive and negative correlat ion results.