~ Assume that the conditional loss distribution is given by X0 = 0 Normal(0, 0²) for some fixed > 0. Please answer the following two questions: Show that the conjugate prior follows the normal distribution. • Assume that ~ Normal(a, b²) for a ER and b> 0, specify the parameters of the posterior distribution.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 36E
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Assume that the conditional loss distribution is given by X0 = 0 Normal (0, ²) for
some fixed > 0. Please answer the following two questions:
Show that the conjugate prior follows the normal distribution.
Assume that ~ Normal (a, b) for a € R and b > 0, specify the parameters of the
posterior distribution.
Transcribed Image Text:Assume that the conditional loss distribution is given by X0 = 0 Normal (0, ²) for some fixed > 0. Please answer the following two questions: Show that the conjugate prior follows the normal distribution. Assume that ~ Normal (a, b) for a € R and b > 0, specify the parameters of the posterior distribution.
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