The observed data is y = (y₁,..., yn), a sample from a geometric distribution with parameter q. The prior distribution for q is uniform on the interval [0, 1]. Suppose that y₁ = ... = yn = 0. Take n = 10 +A, where A=6 Suppose now that we want to compare two models. Model M₁ assumes that the data follow a geometric distribution with q known to be qo = 0.8. Model M₂ is the model and prior distribution described above. Find the Bayes factor B12 for comparing the two models.

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Author:Amos Gilat
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The observed data is y = (y₁,..., yn), a sample from a geometric distribution with parameter q.
The prior distribution for q is uniform on the interval [0, 1]. Suppose that y₁ = ... = yn = 0.
Take n = 10 +A, where A=6
Suppose now that we want to compare two models. Model M₁ assumes that the data follow a
geometric distribution with q known to be qo = 0.8. Model M₂ is the model and prior
distribution described above.
Find the Bayes factor B12 for comparing the two models.
Transcribed Image Text:The observed data is y = (y₁,..., yn), a sample from a geometric distribution with parameter q. The prior distribution for q is uniform on the interval [0, 1]. Suppose that y₁ = ... = yn = 0. Take n = 10 +A, where A=6 Suppose now that we want to compare two models. Model M₁ assumes that the data follow a geometric distribution with q known to be qo = 0.8. Model M₂ is the model and prior distribution described above. Find the Bayes factor B12 for comparing the two models.
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