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1. Let X1, ..., Xn be a random sample from a distribution with cumulative dist: 10, <<0 F(x) = (/), 0<x<B | 1, >B > (a) For t
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Answer #1

given F(x), since derivative of F(x) is f(x) which is f(3) = F(x) = (3/3)-1; 0525 B (a) method of moment estimator for B when

gn i=1 logl = ndogo – nblog3 + (0 – 1)log(TI:-)

= nlogo -nᎾtogᏰ+ ( -1)log ] ) = -nlogᏰ+log]) [ dᎾ dᎾ

i=1 d(logl) d dB =(nlogo – nolog3 + (– 1)log|c;)) = _no so equating 2nd derivative to zero will give absurd result, to avoid

2/ nlog tens + logrinio n log Xing - logiki

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