Recall the lifetime (in months) of a battery is modeled by a
random variable X that has pdf fθ(x)=Kθx1(x>0)where K=ln(1/θ)
for an unknown parameter θ∈(0,1) .
Assume instead that we cannot actually observe the lifetime of
the batteries. Instead, we only observe if the battery is still
working after τ months for some known τ to be chosen later (this is
called censored data ).
Let Y1,…,Yn be our observations where Yi=1(Xi>τ) indicates
that the i th battery is still...