Pattern Recognition and Machine Learning - microsoft.com

Pattern Recognition and Machine Learning Solutions to the Exercises: Web-Edition Markus Svense n and Christopher M. Bishop Copyright c 2002 2009. This is the solutions manual (web-edition) for the book Pattern Recognition and Machine Learning (PRML; published by Springer in 2006). It contains solutions to the www exercises. This release was created September 8, 2009. Future releases with corrections to errors will be published on the PRML. web-site (see below). The authors would like to express their gratitude to the various people who have provided feedback on earlier releases of this document.

Sep 08, 2009 · outside the integral, leaving a normalized Gaussian distribution which integrates to 1, and so we obtain (1.49). To derive (1.50) we first substitute the expression (1.46) for the no rmal distribution into the normalization result (1.48) and re-arrange to obtain Z∞ −∞ exp ˆ − 1 2σ2 (x−µ)2 ˙ dx= 2πσ2 1/2. (15)

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