Suppose that X 1 , ··· , X n are i.i.d. nonnegative random variables whose hazard function is given by where ? 1 , ? 2 are unknown parameters and x 0 is a known constant. (a) Show that the density of...

Suppose that X₁, ··· , X_n
are i.i.d. nonnegative random variables whose hazard function is given by

where ?₁, ?₂
are unknown parameters and x₀
is a known constant.

(a) Show that the density of X_i
is

(b) Find the MLEs of ?₁
and ?₂
as well as their joint limiting distribution.