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Feb
3
comment Probability problem of dice game
@joriki: I think you could turn all of the loops into self-loops first, and then you would have a traversal order. Anyway, I calculated the transition matrix. Perhaps you can finish it from there?
Feb
3
comment Probability problem of dice game
@joriki: I was thinking of doing something like this: stats.stackexchange.com/questions/48396/… I see your point that you can get the transition matrix and decompose it, which might give an easier solution. I have some time now to give it a shot.
Feb
3
comment Probability problem of dice game
It's not hard to use dynamic programming to find an exact solution. The state space is the last number rolled cross the run length (1 or 2). So, there are 22 states plus 2 finish states. The start space can be $(12, 1)$. What happens if they both simultaneously win?
Feb
2
accepted Trace of a matrix times outer product
Feb
2
comment Trace of a matrix times outer product
Thanks for your answer so far. Is there an intuitive explanation of why someone would prefer to write the first expression? Does it reveal some mathematical structure? The second one seems clearer to me.
Feb
2
asked Trace of a matrix times outer product
Nov
26
awarded  Popular Question
Nov
24
comment Convex function plus $v e^{-x}$
@coffeemath: I meant $w$, but I don't think it makes any difference?
Nov
24
revised Convex function plus $v e^{-x}$
giving the function a name
Nov
24
comment Convex function plus $v e^{-x}$
Yes, thanks for the correction.
Nov
24
asked Convex function plus $v e^{-x}$
Sep
23
revised Sufficient statistic for product of $\Gamma(x + a_i)$
added 77 characters in body
Aug
4
awarded  Yearling
Aug
2
comment What are the practical uses of $e$?
Interesting. Note that the "information contribution" is often called the "surprisal" or "self-information".
Aug
1
answered What are the practical uses of $e$?
Jul
13
comment General nonatomic measure that cannot be expressed as an integral
Thanks! (Now, I wonder if there are any real-world Poisson processes whose intensity varies as the cantor set ;) )
Jul
13
accepted General nonatomic measure that cannot be expressed as an integral
Jul
13
revised General nonatomic measure that cannot be expressed as an integral
added 14 characters in body
Jul
13
asked General nonatomic measure that cannot be expressed as an integral
Jun
22
accepted Convex cone of functions of the form $a\log(1+bx + ?)$