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Three ways to define a Poisson process (2)The number of arrivals N(t)in a finite interval of length t Obeys Poisson distribution with parameter At The number of arrivals in non-overlapped intervals are independent P(N()=n)=eu() n! 1.0 0.0 0.5 1.0 T1 T2 Poisson Poisson(入T2) 2.0 (入T1) Weigiang Sun Communication Networks 9Weiqiang(Sun Communica/on(Networks Three(ways(to(define(a(Poisson(process (2)The(number(of(arrivals(N(t)(in(a(finite(interval(of( length(t(( – Obeys(Poisson(distribu/on(with(parameter(λt( – The(number(of(arrivals(in(nonWoverlapped(intervals(are( independent( T1( Poisson (λT1) T2( Poisson(λT2) 9
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