Take A1,A2,··· ,An a partition of Ω with∪n i=1Ai = Ω and Ai∩Aj =∅for i , j. Assume P(Ai) > 0...












-1














Please help me to solve this matter:
Take A1,A2,··· ,An a partition of Ω with∪n i=1Ai = Ω and Ai∩Aj =∅for i , j. Assume P(Ai) > 0 for all i. Prove the Bayes formula,
P(Ai|B) =
P(B|Ai)P(Ai)P n j=1 P(B|Aj)P(Aj)






bayesian







share|cite|improve this question







New contributor




Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by Did, Paul Frost, Cesareo, mrtaurho, amWhy Jan 4 at 14:11


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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Paul Frost, Cesareo, mrtaurho, amWhy

If this question can be reworded to fit the rules in the help center, please edit the question.


















    -1














    Please help me to solve this matter:
    Take A1,A2,··· ,An a partition of Ω with∪n i=1Ai = Ω and Ai∩Aj =∅for i , j. Assume P(Ai) > 0 for all i. Prove the Bayes formula,
    P(Ai|B) =
    P(B|Ai)P(Ai)P n j=1 P(B|Aj)P(Aj)






    bayesian







    share|cite|improve this question







    New contributor




    Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.











    put on hold as off-topic by Did, Paul Frost, Cesareo, mrtaurho, amWhy Jan 4 at 14:11


    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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Paul Frost, Cesareo, mrtaurho, amWhy

    If this question can be reworded to fit the rules in the help center, please edit the question.
















      -1












      -1








      -1







      Please help me to solve this matter:
      Take A1,A2,··· ,An a partition of Ω with∪n i=1Ai = Ω and Ai∩Aj =∅for i , j. Assume P(Ai) > 0 for all i. Prove the Bayes formula,
      P(Ai|B) =
      P(B|Ai)P(Ai)P n j=1 P(B|Aj)P(Aj)






      bayesian







      share|cite|improve this question







      New contributor




      Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      Please help me to solve this matter:
      Take A1,A2,··· ,An a partition of Ω with∪n i=1Ai = Ω and Ai∩Aj =∅for i , j. Assume P(Ai) > 0 for all i. Prove the Bayes formula,
      P(Ai|B) =
      P(B|Ai)P(Ai)P n j=1 P(B|Aj)P(Aj)






      bayesian




      bayesian






      share|cite|improve this question







      New contributor




      Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question







      New contributor




      Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|cite|improve this question




      share|cite|improve this question






      New contributor




      Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked Jan 4 at 1:07









      Nicolas Cloet

      11




      11




      New contributor




      Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Nicolas Cloet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




      put on hold as off-topic by Did, Paul Frost, Cesareo, mrtaurho, amWhy Jan 4 at 14:11


      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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Paul Frost, Cesareo, mrtaurho, amWhy

      If this question can be reworded to fit the rules in the help center, please edit the question.




      put on hold as off-topic by Did, Paul Frost, Cesareo, mrtaurho, amWhy Jan 4 at 14:11


      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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Paul Frost, Cesareo, mrtaurho, amWhy

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
          1






          active

          oldest

          votes


















          0














          $P(A_i|B)=frac{P(A_icap B)}{P(B)}=frac{P(A_icap B)}{sum_{j=1}^nP(A_jcap B)}=frac{P(B|A_i)P(A_i)}{sum_{j=1}^nP(B|A_j)P(A_j)}$






          share|cite|improve this answer





















          • Could anyone confirm?
            – Nicolas Cloet
            Jan 4 at 1:25










          • @NicolasCloet Cannot you confirm or infirm yourself?
            – Did
            Jan 4 at 8:22


















          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          0














          $P(A_i|B)=frac{P(A_icap B)}{P(B)}=frac{P(A_icap B)}{sum_{j=1}^nP(A_jcap B)}=frac{P(B|A_i)P(A_i)}{sum_{j=1}^nP(B|A_j)P(A_j)}$






          share|cite|improve this answer





















          • Could anyone confirm?
            – Nicolas Cloet
            Jan 4 at 1:25










          • @NicolasCloet Cannot you confirm or infirm yourself?
            – Did
            Jan 4 at 8:22
















          0














          $P(A_i|B)=frac{P(A_icap B)}{P(B)}=frac{P(A_icap B)}{sum_{j=1}^nP(A_jcap B)}=frac{P(B|A_i)P(A_i)}{sum_{j=1}^nP(B|A_j)P(A_j)}$






          share|cite|improve this answer





















          • Could anyone confirm?
            – Nicolas Cloet
            Jan 4 at 1:25










          • @NicolasCloet Cannot you confirm or infirm yourself?
            – Did
            Jan 4 at 8:22














          0












          0








          0






          $P(A_i|B)=frac{P(A_icap B)}{P(B)}=frac{P(A_icap B)}{sum_{j=1}^nP(A_jcap B)}=frac{P(B|A_i)P(A_i)}{sum_{j=1}^nP(B|A_j)P(A_j)}$






          share|cite|improve this answer












          $P(A_i|B)=frac{P(A_icap B)}{P(B)}=frac{P(A_icap B)}{sum_{j=1}^nP(A_jcap B)}=frac{P(B|A_i)P(A_i)}{sum_{j=1}^nP(B|A_j)P(A_j)}$







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 4 at 1:11









          John_Wick

          1,436111




          1,436111












          • Could anyone confirm?
            – Nicolas Cloet
            Jan 4 at 1:25










          • @NicolasCloet Cannot you confirm or infirm yourself?
            – Did
            Jan 4 at 8:22


















          • Could anyone confirm?
            – Nicolas Cloet
            Jan 4 at 1:25










          • @NicolasCloet Cannot you confirm or infirm yourself?
            – Did
            Jan 4 at 8:22
















          Could anyone confirm?
          – Nicolas Cloet
          Jan 4 at 1:25




          Could anyone confirm?
          – Nicolas Cloet
          Jan 4 at 1:25












          @NicolasCloet Cannot you confirm or infirm yourself?
          – Did
          Jan 4 at 8:22




          @NicolasCloet Cannot you confirm or infirm yourself?
          – Did
          Jan 4 at 8:22



          -

          Popular posts from this blog

          An IMO inspired problem

          Image
          14 4 This problem from IMO 1988 is said to be one of the most elegant ones in functional equations. Problem : The function $f$ is defined on the set of all positive integers as follows: begin{align} f(1) = 1, f(3) &= 3, f(2n) = f(n), \ f(4n+1) &= 2f(2n+1) - f(n), \ f(4n+3) &= 3 f(2n+1) - 2f(n) end{align} Find the number of $n$ with $f(n) = n, 1 leq n leq 1988$. The main idea towards the solution is realizing that these conditions stand for the fact that $f(n)$ just reverses the digits in the binary representation of the number $n$. So, essentially the solution is finding the number of binary pallindromes $leq 1988_{10}$. My question is the following : How to reformulate the problem so that $f(n)$ reverses the digits of $n$ in its ternary representation. Or even better, can we reformulate it for a
          Read more

          Management

          Image
          Management From Wikipedia, the free encyclopedia Jump to navigation Jump to search "Manager" redirects here. For other uses, see Management (disambiguation) and Manager (disambiguation). An organization chart for the United States Coast Guard shows the hierarchy of managerial roles in that organization. Business administration Management of a business Accounting Management accounting Financial accounting Financial audit Business entities Cooperative Corporation Limited liability company Partnership Sole proprietorship State-owned enterprise Corporate governance Annual general meeting Board of directors Supervisory board Advisory board Audit committee Corporate law Commercial law Constitutional documents Contract Corporate crime Corporate liability Insolvency law International trade law Mergers and acquisitions Economics Commodity Pu
          Read more

          Investment

          Image
          Investment From Wikipedia, the free encyclopedia Jump to navigation Jump to search This article is about investment in finance. For investment in macroeconomics, see Investment (macroeconomics). For other uses, see Investment (disambiguation). "Invest" redirects here. For the term in meteorology, see Invest (meteorology). This article needs additional citations for verification . Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. ( February 2017 ) (Learn how and when to remove this template message) In general, to invest is to distribute money in the expectation of some benefit in the future – for example, investment in durable goods, in real estate by the service industry, in factories for manufacturing, in product development, and in research and development. However, this article focuses specifically on investment in financial
          Read more