(a) f(r;; 0) = O":(1 – 0)"-"" , x'; = 0, 1, ...,n (b) f(x;; 0) = ("7) o*(1 – 09«-5, x; = 5,6, ..

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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7. Let (x1, x2, ., In) be random variables sampled from a population with parameter of interest 0.
Find the moment and the maximum likelihood estimators of 0 if the probability distribution of the
random variate is;
(а) f(г;0) —
O": (1 – 0)"-#i, x; = 0, 1, ...,n
(b) f(T; 0) = (* 7') 05(1 – 0)=--5, x; = 5, 6, ...
Transcribed Image Text:7. Let (x1, x2, ., In) be random variables sampled from a population with parameter of interest 0. Find the moment and the maximum likelihood estimators of 0 if the probability distribution of the random variate is; (а) f(г;0) — O": (1 – 0)"-#i, x; = 0, 1, ...,n (b) f(T; 0) = (* 7') 05(1 – 0)=--5, x; = 5, 6, ...
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