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
$begingroup$
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 $P(A_c_1^1)=P(A_c_2^2)=P(A_c_3^3)$
probability
New contributor
$endgroup$
add a comment |
$begingroup$
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 $P(A_c_1^1)=P(A_c_2^2)=P(A_c_3^3)$
probability
New contributor
$endgroup$
add a comment |
$begingroup$
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 $P(A_c_1^1)=P(A_c_2^2)=P(A_c_3^3)$
probability
New contributor
$endgroup$
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
probability
New contributor
New contributor
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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