Question: Could you please answer a) of this question: Consider a Type-II right censored sample X 1 : n < . . . < X r

Could you please answer a) of this question:

Consider a Type-II right censored sample X1:n<...<Xr:n with the largest "n-r" lifetimes have been censored.

The Likelihood is:

L=(nr)!n!r1exp[1(i=1r(xi:n)+(nr)(xr:n)]

The log likelihood is:

l(L)=constantrln()1[i=1r(xi:n)+(nr)(xr:n)]

Then the MLEs are:

^=xi:n

^=r1[i=1r(xi:n)+(nr)(xr:n)]

a) Examine whether the MLEs are unbiased

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