Let Y have the F distribution with m and n degrees of freedom. We wish to estimate

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Let Y have the F distribution with m and n degrees of freedom. We wish to estimate Pr(Y > c). Consider the p.d.f.
Let Y have the F distribution with m and n

a. Explain how to simulate pseudo-random numbers with the p.d.f. f .
b. Explain how to estimate Pr(Y > c) using importance sampling with the importance function f .
c. Look at the form of the p.d.f. of Y, Eq. (9.7.2), and explain why importance sampling might be more efficient than sampling i.i.d. F random variables with m and n degrees of freedom if c is not small.

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...
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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