What is the Probability that a Sum of Values, that have PDF estimated by a gamma distribution, is less than a...
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Lets assume I have a population of $X$ that is has a PDF estimated by a gamma distribution.
$X$ are float numbers. lets assume that my population contains $N$ number of $X [X1,X2...Xn]$
From PDF i can calculate the probability of $X_i$ being less or bigger than a certain number. How can i calculate the probability that the sum of all of the X values is less than a number $K$? Are there any estimates I can use to find the solution.
Thanks!
enter image description here
probability
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
asked Nov 18 at 7:22
Kareem Jammal
11
add a comment |
up vote
0
down vote
favorite
Lets assume I have a population of $X$ that is has a PDF estimated by a gamma distribution.
$X$ are float numbers. lets assume that my population contains $N$ number of $X [X1,X2...Xn]$
From PDF i can calculate the probability of $X_i$ being less or bigger than a certain number. How can i calculate the probability that the sum of all of the X values is less than a number $K$? Are there any estimates I can use to find the solution.
Thanks!
enter image description here
probability
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
asked Nov 18 at 7:22
Kareem Jammal
11
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Lets assume I have a population of $X$ that is has a PDF estimated by a gamma distribution.
$X$ are float numbers. lets assume that my population contains $N$ number of $X [X1,X2...Xn]$
From PDF i can calculate the probability of $X_i$ being less or bigger than a certain number. How can i calculate the probability that the sum of all of the X values is less than a number $K$? Are there any estimates I can use to find the solution.
Thanks!
enter image description here
probability
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
asked Nov 18 at 7:22
Kareem Jammal
11
Lets assume I have a population of $X$ that is has a PDF estimated by a gamma distribution.
$X$ are float numbers. lets assume that my population contains $N$ number of $X [X1,X2...Xn]$
From PDF i can calculate the probability of $X_i$ being less or bigger than a certain number. How can i calculate the probability that the sum of all of the X values is less than a number $K$? Are there any estimates I can use to find the solution.
Thanks!
enter image description here
probability
probability
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
asked Nov 18 at 7:22
Kareem Jammal
11
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
asked Nov 18 at 7:22
Kareem Jammal
11
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
edited Nov 18 at 7:33
Joey Kilpatrick
1,183422
1,183422
asked Nov 18 at 7:22
Kareem Jammal
11
asked Nov 18 at 7:22
Kareem Jammal
11
asked Nov 18 at 7:22
Kareem Jammal
11
11
add a comment |
add a comment |
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