A way of approximating large factorials is through the use of Stirling's Formula: a complete derivation of

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A way of approximating large factorials is through the use of Stirling's Formula:

a complete derivation of which is difficult. Instead, prove the easier fact,

and hence

Now compare log n! to the average of the two integrals. See Exercise 5.35 for another derivation.)

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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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Question Posted: May 26, 2016 05:10 AM

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A way of approximating large factorials is through the use of Stirling's Formula: a complete derivation of

Question:

n! lim no nn+(/2a constant. n! lim n00 nn+(/ constant k+1 / rk log z dz

Step by Step Answer:

The average of the two integrals is n log n n n 1 log n 1 n 2 n log n n 1 log n 1 2 n n 12 ...View the full answer

Statistical Inference

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