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Estimating the parameter, Exercises of Statistics

Al-Aqsa UniversityStatistics

Estimating the parameter of Poisson distribution if the cumulative density function is known for two observations in a sample size.

Typology: Exercises

2017/2018

Uploaded on 03/27/2018

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

4.6

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Let F(x) be the cumulative density function of a Poisson distribution with parameter A .If F(2) = 2F(1), find the value of A Solution: e 44x we X~POT(A) => f(x) = a eX — Olea z zx eye F fe Ax Hence, F(x) = Ss ie > re en ia = xt 0 0 2, és 2 FQ) =e4 ) =e (14243), ra=e Ya wtana a 2! A Therefore,e~* (1 +A+ ) =e 4(24+ 24) = A? -2A-2=0 .A=1+-3 such that Ais the mean of Poisson distribution IMR. OSAMA A.A, ALSATTARI