Probability, dependent series Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Trying to find limiting of binomial probabilityn-gram probabilities in language modelingProblem with coupling (basic probability)dependent or independent probability?Probability space for modified rouletteCDF of minimum of correlated and iid random variablesProbability of joint dependent random variablesWhich matrices give the same probability mass functionProbability of survival for systemProbability that sum of three digits is the same as sum of other three digits

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Probability, dependent series



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Trying to find limiting of binomial probabilityn-gram probabilities in language modelingProblem with coupling (basic probability)dependent or independent probability?Probability space for modified rouletteCDF of minimum of correlated and iid random variablesProbability of joint dependent random variablesWhich matrices give the same probability mass functionProbability of survival for systemProbability that sum of three digits is the same as sum of other three digits










-1












$begingroup$


For $Omega=0,1^3$, define $P_1$ in other way that
$$P(w)=p^w(1-p)^w$$
for $win Omega$ and $|w|=w_1+w_2+w_3$, $w=(w_1,w_2,w_3)$ so as to for $A_c_i^i=w:w_i=c_i$, for $i=1,2,3$, $c_iin 0,1 $,events $ A_c_1^1, A_c_2^2, A_c_3^3$ formed a dependent series for any choose $c_1,c_2, c_3 in 0,1$ and $P(A_c_1^1)=P(A_c_2^2)=P(A_c_3^3)$










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$endgroup$
















    -1












    $begingroup$


    For $Omega=0,1^3$, define $P_1$ in other way that
    $$P(w)=p^w(1-p)^w$$
    for $win Omega$ and $|w|=w_1+w_2+w_3$, $w=(w_1,w_2,w_3)$ so as to for $A_c_i^i=w:w_i=c_i$, for $i=1,2,3$, $c_iin 0,1 $,events $ A_c_1^1, A_c_2^2, A_c_3^3$ formed a dependent series for any choose $c_1,c_2, c_3 in 0,1$ and $P(A_c_1^1)=P(A_c_2^2)=P(A_c_3^3)$










    share|cite|improve this question









    New contributor




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







    $endgroup$














      -1












      -1








      -1





      $begingroup$


      For $Omega=0,1^3$, define $P_1$ in other way that
      $$P(w)=p^w(1-p)^w$$
      for $win Omega$ and $|w|=w_1+w_2+w_3$, $w=(w_1,w_2,w_3)$ so as to for $A_c_i^i=w:w_i=c_i$, for $i=1,2,3$, $c_iin 0,1 $,events $ A_c_1^1, A_c_2^2, A_c_3^3$ formed a dependent series for any choose $c_1,c_2, c_3 in 0,1$ and $P(A_c_1^1)=P(A_c_2^2)=P(A_c_3^3)$










      share|cite|improve this question









      New contributor




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







      $endgroup$




      For $Omega=0,1^3$, define $P_1$ in other way that
      $$P(w)=p^w(1-p)^w$$
      for $win Omega$ and $|w|=w_1+w_2+w_3$, $w=(w_1,w_2,w_3)$ so as to for $A_c_i^i=w:w_i=c_i$, for $i=1,2,3$, $c_iin 0,1 $,events $ A_c_1^1, A_c_2^2, A_c_3^3$ formed a dependent series for any choose $c_1,c_2, c_3 in 0,1$ and $P(A_c_1^1)=P(A_c_2^2)=P(A_c_3^3)$







      probability






      share|cite|improve this question









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      stickyjack is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      share|cite|improve this question









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      share|cite|improve this question




      share|cite|improve this question








      edited Apr 8 at 20:20









      J. W. Tanner

      4,7871420




      4,7871420






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      asked Apr 8 at 20:12









      stickyjackstickyjack

      32




      32




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