| | |
Summary: 1/14
Chapter 10. Poisson processes.
Manual for SOA Exam MLC.
Chapter 10. Poisson processes.
Section 10.5. Nonhomogenous Poisson processes
c 2009. Miguel A. Arcones. All rights reserved.
Extract from:
"Arcones' Manual for SOA Exam MLC. Fall 2009 Edition",
available at http://www.actexmadriver.com/
c 2009. Miguel A. Arcones. All rights reserved. Manual for SOA Exam MLC.
2/14
Chapter 10. Poisson processes. Section 10.5. Nonhomogenous Poisson processes.
Nonhomogenous Poisson processes
Definition 1
The counting process {N(t) : t 0} is said to be a
nonhomogenous Poisson process with intensity function (t),
t 0, if
(i) N(0) = 0.
(ii) For each t > 0, N(t) has a Poisson distribution with mean
m(t) =
|