How to prove the Laplacian prior is equivalent to a two-level hierarchical-Bayes model? [closed]

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If $p(beta|tau)=N(beta|0,tau)$, $p(tau|gamma)=fracgamma2exp-fracgamma2tau$.
How to prove $p(beta|gamma)=int_0^inftyp(beta|tau)p(tau|gamma)dtau=fracsqrtgamma2expbeta$




probability-distributions definite-integrals




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closed as off-topic by user223391, Isaac Browne, Taroccoesbrocco, Shailesh, Xander Henderson Aug 3 at 1:50


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    If $p(beta|tau)=N(beta|0,tau)$, $p(tau|gamma)=fracgamma2exp-fracgamma2tau$.
    How to prove $p(beta|gamma)=int_0^inftyp(beta|tau)p(tau|gamma)dtau=fracsqrtgamma2expbeta$




    probability-distributions definite-integrals




    share|cite|improve this question











    closed as off-topic by user223391, Isaac Browne, Taroccoesbrocco, Shailesh, Xander Henderson Aug 3 at 1:50


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Community, Isaac Browne, Taroccoesbrocco, Shailesh, Xander Henderson
    If this question can be reworded to fit the rules in the help center, please edit the question.














      up vote
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      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      If $p(beta|tau)=N(beta|0,tau)$, $p(tau|gamma)=fracgamma2exp-fracgamma2tau$.
      How to prove $p(beta|gamma)=int_0^inftyp(beta|tau)p(tau|gamma)dtau=fracsqrtgamma2expbeta$




      probability-distributions definite-integrals




      share|cite|improve this question











      If $p(beta|tau)=N(beta|0,tau)$, $p(tau|gamma)=fracgamma2exp-fracgamma2tau$.
      How to prove $p(beta|gamma)=int_0^inftyp(beta|tau)p(tau|gamma)dtau=fracsqrtgamma2expbeta$





      probability-distributions definite-integrals





      share|cite|improve this question










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      asked Aug 2 at 13:21









      WoLiangYu

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      closed as off-topic by user223391, Isaac Browne, Taroccoesbrocco, Shailesh, Xander Henderson Aug 3 at 1:50


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Community, Isaac Browne, Taroccoesbrocco, Shailesh, Xander Henderson
      If this question can be reworded to fit the rules in the help center, please edit the question.




      closed as off-topic by user223391, Isaac Browne, Taroccoesbrocco, Shailesh, Xander Henderson Aug 3 at 1:50


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Community, Isaac Browne, Taroccoesbrocco, Shailesh, Xander Henderson
      If this question can be reworded to fit the rules in the help center, please edit the question.

























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