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 Yearling
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Nov
2
comment Fisher Information for Geometric Distribution
Are you sure the answer is correct? In particular, the quadratic $-\frac{1}{\theta^2}$ in the first term of the expectation in line 1 has become $-\frac{1}{\theta}$ in the second line.
Oct
10
awarded  Yearling
Sep
30
awarded  Popular Question
Sep
28
comment Rejection Sampling From Conditional Distribution
In the final equation, is the $K$ necessary? In particular, since $p(x_1)=p(x_1,s)/K$, does the numerator $Kp(x_1)$ reduce to $p(x_1,s)$?
Sep
27
comment Rejection Sampling From Conditional Distribution
Beautiful, your methodology helped me reason through the process.
Sep
27
accepted Rejection Sampling From Conditional Distribution
Sep
24
comment Is statistical dependence transitive?
The example given in Problem 2 is vacuous since $X_1$ and $X_3$ are the same random variable, which trivially are never independent (unless constant).
Sep
19
revised Rejection Sampling From Conditional Distribution
edited title
Sep
19
asked Rejection Sampling From Conditional Distribution
Sep
13
comment Conditioning X jointly on two independent variables Y and Z
Please explain downvote? This is not a homework problem...
Sep
13
comment What does the decomposition, weak union and contraction rule mean for conditional probability and what are their proofs?
The proof is incorrect. In particular the statement $(X \perp Y \mid Z) \& (X \perp W \mid Z) \Leftrightarrow (X \perp Y, W \mid Z)$ is false.
Sep
13
accepted Conditioning X jointly on two independent variables Y and Z
Sep
13
revised Conditioning X jointly on two independent variables Y and Z
edited title
Sep
13
asked Conditioning X jointly on two independent variables Y and Z
Sep
9
comment Inverse of a multivariable function
In point 3. you have $f(g(x)) = g(f(x))$ where $x \in A$. However $g:B\to A$ so $g(x), x \in A$ looks incorrect? I think the correct specification would be $g(f(a)) = a$ for $a \in A$ and $f(g(b)) = b$ for $b \in B$.
Jul
28
asked Interpretation of integral as ratio of joint and conditional densities?
Jul
8
asked Mutual information as a fraction of entropy?
Jun
17
awarded  Citizen Patrol
Jun
17
answered If I select two numbers $x_1,x_2$ from the interval $(0, 1) $, what is the probability $x_1 <x_2$?
May
11
awarded  Popular Question