Question

2. The Weibull distribution, which is never mentioned in most statistics classes, will play an important role in this course. The Weibull is written (parameterized) in quite a few different ways, even in the same book. Here is the density of the Weibull from p. 16 of our text. for t0 where the parameters o and λ are both greater than zero. (a) Verify that f(t|a, λ) above really is a density, by showing that it integrates to one. (b) The Weibull density reduces to an exponential for one particular value of a. What is that value (c) Prove that if T has a Weibull distribution, E(T) (d) The median of a continuous distribution is the point with 50% of the probability above and 50% below. Find the median of the Weibull distribution. Show your work.

(e) Derive a formula for the MLE of alpha and lambda.

can you help me to solve these questions?

Answer 1