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2d
accepted A maximization problem parametrized by a function
2d
comment A maximization problem parametrized by a function
Here $G_t$ is attained at the endpoint of the interval ($x=0$), right?
2d
comment A maximization problem parametrized by a function
$f$ in the question should be monotonically increasing. But I think this can be easily corrected by replacing $x$ with $1-x$.
2d
revised A maximization problem parametrized by a function
added 28 characters in body; edited tags
2d
asked A maximization problem parametrized by a function
2d
comment A differential maximization problem
Actually, my original intention was that $F(x)/F(1)$ should be maximized where $x$ is the solution to the equation $F'(x)=(1-x)F''(x)$. I should have called it $x_0$. In any case, I will have to ask a new question...
2d
revised A differential maximization problem
Removed an example which didn't fit the interpretation of the problem
2d
accepted A differential maximization problem
Apr
15
asked A differential maximization problem
Apr
12
asked Oracle for the inverse function
Mar
29
comment Definition and statistics of the Negative-Hypergeometric distribution
Several sources and detailed derivation of the formula can be found here: encyclopediaofmath.org/index.php/…
Mar
29
accepted Definition and statistics of the Negative-Hypergeometric distribution
Mar
27
accepted What is the amalg symbol?
Mar
23
asked Definition and statistics of the Negative-Hypergeometric distribution
Mar
23
comment Approximation to the negative-binomial and negative-hypergeometric distributions
@BruceTrumbo I am mainly interested in assymetric scenarios, in which the total number of successes is much smaller than the total number of failures. Are there known approximations for this case?
Mar
23
revised Approximation to the negative-binomial and negative-hypergeometric distributions
added 147 characters in body
Mar
23
revised Approximation to the negative-binomial and negative-hypergeometric distributions
add hypergeometric
Mar
23
comment Approximation to the negative-binomial and negative-hypergeometric distributions
I need the approximation in order to make a claim such as: "The probability of $f(k)$ successes is $O(1/k)$, and thus it goes to 0 when $k$ goes to $\infty$". $f(k)$ is a certain function of $k$ which I have to define. I find it easier to make such statements when working with normal variables.
Mar
23
comment Avoiding proof by induction
More than the answer, I am impressed at the clear, formal meaning you gave to the question.
Mar
23
asked Approximation to the negative-binomial and negative-hypergeometric distributions