Define and show (by setting z xy and then substituting z for y) that Deduce that By substituting (I x 2 )z 2 2t, so that z dz dt (1 x 2 ) show that I 2, so that the density of the standard normal distribution as defined in Section 1 3 does integrate to unity and so is indeed a density J exp( 1 z) d...

Define 1 dz Substitutexy Lets setary and substitute it into the integral 1eHydr Symmetry Property N ...

Define and show (by setting z = xy and then substituting z for y) that Deduce that

Question:

Define

J = ] = exp(-1/z) dz

and show (by setting z = xy and then substituting z for y) that

www.c = exp(-1/(xy)) y dx *exp(-1 (2x)) z dx.

Deduce that

= 10 10 0 exp{--(x + 1)z} z dz dx.

By substituting (I + x²)z²= 2t, so that z dz = dt /(1 + x²) show that I = √π/2, so that the density of the standard normal distribution as defined in Section 1.3 does integrate to unity and so is indeed a density.

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Bayesian Statistics An Introduction

ISBN: 9781118332573

4th Edition

Authors: Peter M. Lee

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Question Posted: Nov 28, 2023 02:51 AM

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Define and show (by setting z = xy and then substituting z for y) that Deduce that

Question:

• J = ] = exp(-1/z²) dz

Step by Step Answer:

Define 1 dz Substitutexy Lets setary and substitute it into the integral 1eHydr Symmetry Property N...View the full answer

Bayesian Statistics An Introduction

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