Bayesian Statistics

[anastasia2211]

Hi!
I would like to help me with the following problem:
Let x1 and x2 two observations from the Beta distribution B (10, θ), θ ∈ Θ = (0, 1) and π (θ) ∼ Be (1/2, 1/2).
(a) Evaluate θ with the loss function.
(b) Estimate the 5% and 95% percentage point of posterior of θ.
(c) Even η= g (θ) = logit (θ) = log (θ / (1 - θ)). Find the posterior distribution of θ.
(d) Find t posterior density function for θ with the 95% confindence interval if x1 = 0, x2 = 1.
(e) Find 95% reliability of equal terms for θ if x1 = 0, x2 = 1 was observed

 

[Deleted member 4993]

Hi!
I would like to help me with the following problem:
Let x1 and x2 two observations from the Beta distribution B (10, θ), θ ∈ Θ = (0, 1) and π (θ) ∼ Be (1/2, 1/2).
(a) Evaluate θ with the loss function.
(b) Estimate the 5% and 95% percentage point of posterior of θ.
(c) Even η= g (θ) = logit (θ) = log (θ / (1 - θ)). Find the posterior distribution of θ.
(d) Find t posterior density function for θ with the 95% confindence interval if x1 = 0, x2 = 1.
(e) Find 95% reliability of equal terms for θ if x1 = 0, x2 = 1 was observed

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[anastasia2211]

a) L(d, θ)=(d-g(θ))^2=(([1/B(10,θ)]*[d][/9]*[1-d][/θ-1])-([1/B(0.5,0.5)]*[θ][/0.5]*[1-d][/0.5-1]))