In a sequential clinical trial, let the probability of successful outcome 0 have a uniform prior distribution on (0, 1). Suppose that the fifth patient has a successful outcome. Find the Bayes estimate of 0 that would be obtained for each of (a) Squared-error loss, L(0, a) =( 0 – a)?; (b) Absolute error loss, L(0, a) = | 0 – al.

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In a sequential clinical trial, let the probability of
successful outcome 0 have a uniform prior
distribution on (0, 1). Suppose that the fifth patient
has a successful outcome. Find the Bayes estimate
of 0 that would be obtained for each of
(a) Squared-error loss, L(0, a) =( 0 –
a)?;
(b) Absolute error loss, L(0, a) = | 0 –
al.
Transcribed Image Text:In a sequential clinical trial, let the probability of successful outcome 0 have a uniform prior distribution on (0, 1). Suppose that the fifth patient has a successful outcome. Find the Bayes estimate of 0 that would be obtained for each of (a) Squared-error loss, L(0, a) =( 0 – a)?; (b) Absolute error loss, L(0, a) = | 0 – al.
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