maximize expected value of a Heaviside function Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)Expected value linearityExpected Value FunctionMaximize the expected values of a function with constrainFinding PMF of C by given expected valueExpected value with uncertainty about parametersExpected value of the maximum functionProbability problem involving geometric distribution and expected valueHow much should one bid to maximize the expected profit?Deriving expected value given expected valueWhat does this expected value notation mean?

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maximize expected value of a Heaviside function



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)Expected value linearityExpected Value FunctionMaximize the expected values of a function with constrainFinding PMF of C by given expected valueExpected value with uncertainty about parametersExpected value of the maximum functionProbability problem involving geometric distribution and expected valueHow much should one bid to maximize the expected profit?Deriving expected value given expected valueWhat does this expected value notation mean?










1












$begingroup$


$X$ is a random variable and a cost function is $f(x;c)$ where $c$ is the parameter to be estimated.



Then how to find $c$ to maximize $E_x[H(f(x;c))]$, where H is Heaviside unit step function.










share|cite|improve this question









$endgroup$











  • $begingroup$
    The expected value of an indicator function (i.e. Heaviside function) is the probability of that event. So $mathbbE[H(f(X;c))]=mathbbP[f(X;c)geq0]$. More can’t be said without knowing about your function $f$ and the distribution of $X$. Try adding some context to your question.
    $endgroup$
    – David M.
    Apr 2 at 3:21















1












$begingroup$


$X$ is a random variable and a cost function is $f(x;c)$ where $c$ is the parameter to be estimated.



Then how to find $c$ to maximize $E_x[H(f(x;c))]$, where H is Heaviside unit step function.










share|cite|improve this question









$endgroup$











  • $begingroup$
    The expected value of an indicator function (i.e. Heaviside function) is the probability of that event. So $mathbbE[H(f(X;c))]=mathbbP[f(X;c)geq0]$. More can’t be said without knowing about your function $f$ and the distribution of $X$. Try adding some context to your question.
    $endgroup$
    – David M.
    Apr 2 at 3:21













1












1








1





$begingroup$


$X$ is a random variable and a cost function is $f(x;c)$ where $c$ is the parameter to be estimated.



Then how to find $c$ to maximize $E_x[H(f(x;c))]$, where H is Heaviside unit step function.










share|cite|improve this question









$endgroup$




$X$ is a random variable and a cost function is $f(x;c)$ where $c$ is the parameter to be estimated.



Then how to find $c$ to maximize $E_x[H(f(x;c))]$, where H is Heaviside unit step function.







probability optimization parameter-estimation






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Apr 2 at 2:41









GeorgesswGeorgessw

62




62











  • $begingroup$
    The expected value of an indicator function (i.e. Heaviside function) is the probability of that event. So $mathbbE[H(f(X;c))]=mathbbP[f(X;c)geq0]$. More can’t be said without knowing about your function $f$ and the distribution of $X$. Try adding some context to your question.
    $endgroup$
    – David M.
    Apr 2 at 3:21
















  • $begingroup$
    The expected value of an indicator function (i.e. Heaviside function) is the probability of that event. So $mathbbE[H(f(X;c))]=mathbbP[f(X;c)geq0]$. More can’t be said without knowing about your function $f$ and the distribution of $X$. Try adding some context to your question.
    $endgroup$
    – David M.
    Apr 2 at 3:21















$begingroup$
The expected value of an indicator function (i.e. Heaviside function) is the probability of that event. So $mathbbE[H(f(X;c))]=mathbbP[f(X;c)geq0]$. More can’t be said without knowing about your function $f$ and the distribution of $X$. Try adding some context to your question.
$endgroup$
– David M.
Apr 2 at 3:21




$begingroup$
The expected value of an indicator function (i.e. Heaviside function) is the probability of that event. So $mathbbE[H(f(X;c))]=mathbbP[f(X;c)geq0]$. More can’t be said without knowing about your function $f$ and the distribution of $X$. Try adding some context to your question.
$endgroup$
– David M.
Apr 2 at 3:21










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