By substituting in the form for the posterior density of the correlation coefficient and then expanding as

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By substituting

cosht - pr = 1 - pr. 1-u

in the form

f. (0 p(p\x, y) x p(p)(1-p)(n-1)/2 (cosht - pr)-(n-1) dtfor the posterior density of the correlation coefficient and then expanding

_[n(ad + 1) - 1]as a power series in u, show that the integral can be expressed as a series of beta functions. Hence, deduce that 

p(plx, y) x p(p)(1 - p)(n-1)/2(1 - pr)-n+(3/2) S (pr),

where 

+(+) pr 8 Su(pr) =1+  (2s - 1) 3 (n = /+s) -

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