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Current Trends in Bayesian Methodology with Applications
book

Current Trends in Bayesian Methodology with Applications

by Satyanshu K. Upadhyay, Umesh Singh, Dipak K. Dey, Appaia Loganathan
May 2015
Intermediate to advanced content levelIntermediate to advanced
680 pages
22h 33m
English
Chapman and Hall/CRC
Content preview from Current Trends in Bayesian Methodology with Applications
74 Current Trends in Bayesian Methodology with Applications
FIGURE 3.3
Joint pos terior reference density π(θ
1
, θ
2
|r
1
, r
2
, n
1
, n
2
), when r
1
= 5 1,
n
1
= 8 197, r
2
= 7 4 and n
2
= 8 198.
a p-value of 0.04. Morever, the re sults suggested an estimated vaccine effi-
cacy (one minus the relative hazard rate of HIV in the vaccine versus placebo
group) of
VE(r
1
, n
1
, r
2
, n
2
) = 1
r
1
/n
1
r
2
/n
2
= 0 .31.
An objective Bayesian, intrinsic reference analysis of these data will now be
provided.
The joint refere nce posterior distribution for θ
1
and θ
2
which corre-
sp onds to the overall reference prior π(θ
1
, θ
2
) = Be(θ
1
|
1
2
,
1
2
) Be(θ
2
|
1
2
,
1
2
) is
π(θ
1
, θ
2
|r
1
, r
2
, n
1
, n
2
) = Be(θ
1
|51
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Publisher Resources

ISBN: 9781482235128