Let X have a Weibull distribution with parameters a and b, so E(X) = (1
Question:
E(X) = β ∙ Γ(1 + 1/α)
V(X) = β2Γ(1 + 2/α) - [Γ(1 + 1/α)]2}
a. Based on a random sample X1,..., Xn, write equations for the method of moments estimators of β and α. Show that, once the estimate of α has been obtained, the estimate of β can be found from a table of the gamma function and that the estimate of α is the solution to a complicated equation involving the gamma function.
b. If n = 20, x = 28.0, and ΣXi2 = 16,500, compute the estimates.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
Question Posted: