Consider the probability density function (a) Find the value of the constant c (b) What is the moment estimator for theta (c) Show that is an unbiased estimator for theta (d) Find the maximum likelihood estimator for theta f(x) c(1 ex), 1 sxs1

Question: Consider the probability density function (a) Find the value of the constant c. (b) What is the moment estimator for θ? (c) Show that is

Consider the probability density function

(a) Find the value of the constant c.
(b) What is the moment estimator for θ?
(c) Show that is an unbiased estimator for θ.
(d) Find the maximum likelihood estimator for θ.

f(x) = c(1 + ex), -1 sxs1

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