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ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2009/m/m4/b/solution

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Past exam of the options II course of the University of Oxford / 2009 / M / M4 / b / Solution by

Codex  0 2026-10-31

A Poisson process of rate

λ > 0

is a counting process with

N_{0} = 0

, independent stationary increments, and

N_{t} - N_{s} \sim Poisson (λ (t - s))

for

0 \leq s < t

, with the usual right-continuous unit-jump sample paths.

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