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Another “name-that-distribution” question
Is left-of-mean cdf of exponential distribution greater than that of a gamma distribution?Proof that Pareto is a Mixture of Exponential and GammaProving a distribution is a member of the simple exponential familyBayesian inference on gamma distributionWhich parameter should be considered as “scale” parameter for Gamma distribution?Is there a Closed-form distribution for a Beta-Beta distribution?What is the name of the distribution with a probability density like $1/(1+exp(x))$?Integrating out a gamma-distributed parameter from a Weibull distributionDistribution of the ratio of a squared Gamma variable to another Gamma random variableWhat are the properties of the “unfolded” gamma distribution generalization of a normal distribution?
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
The density $$f(s)propto fracss+alphae^-s,quad s > 0$$ where $alpha ge 0$ is a parameter, lives between the exponential ($alpha=0$) and $Gamma(2,1)$ ($alpha to infty$) distributions. Just curious if this happens to be an example of a more general family of distributions? I do not recognize it as such.
distributions gamma-distribution distribution-identification
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
$endgroup$
add a comment |
$begingroup$
The density $$f(s)propto fracss+alphae^-s,quad s > 0$$ where $alpha ge 0$ is a parameter, lives between the exponential ($alpha=0$) and $Gamma(2,1)$ ($alpha to infty$) distributions. Just curious if this happens to be an example of a more general family of distributions? I do not recognize it as such.
distributions gamma-distribution distribution-identification
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
$endgroup$
$begingroup$
Do you intend $s>0$?
$endgroup$
– kjetil b halvorsen
7 hours ago
$begingroup$
@kjetilbhalvorsen Yes, edited.
$endgroup$
– jth
6 hours ago
add a comment |
$begingroup$
The density $$f(s)propto fracss+alphae^-s,quad s > 0$$ where $alpha ge 0$ is a parameter, lives between the exponential ($alpha=0$) and $Gamma(2,1)$ ($alpha to infty$) distributions. Just curious if this happens to be an example of a more general family of distributions? I do not recognize it as such.
distributions gamma-distribution distribution-identification
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
$endgroup$
The density $$f(s)propto fracss+alphae^-s,quad s > 0$$ where $alpha ge 0$ is a parameter, lives between the exponential ($alpha=0$) and $Gamma(2,1)$ ($alpha to infty$) distributions. Just curious if this happens to be an example of a more general family of distributions? I do not recognize it as such.
distributions gamma-distribution distribution-identification
distributions gamma-distribution distribution-identification
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
edited 6 hours ago
jth
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
asked 8 hours ago
jthjth
5863 silver badges8 bronze badges
5863 silver badges8 bronze badges
$begingroup$
Do you intend $s>0$?
$endgroup$
– kjetil b halvorsen
7 hours ago
$begingroup$
@kjetilbhalvorsen Yes, edited.
$endgroup$
– jth
6 hours ago
add a comment |
$begingroup$
Do you intend $s>0$?
$endgroup$
– kjetil b halvorsen
7 hours ago
$begingroup$
@kjetilbhalvorsen Yes, edited.
$endgroup$
– jth
6 hours ago
$begingroup$
Do you intend $s>0$?
$endgroup$
– kjetil b halvorsen
7 hours ago
$begingroup$
Do you intend $s>0$?
$endgroup$
– kjetil b halvorsen
7 hours ago
$begingroup$
@kjetilbhalvorsen Yes, edited.
$endgroup$
– jth
6 hours ago
$begingroup$
@kjetilbhalvorsen Yes, edited.
$endgroup$
– jth
6 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
If you meant $s>0$ then the density function becomes
$$
f(s) = frac alpha1-2,rm e^alphait Ei left( 3,alpha
right) cdot fracss+alpha e^-s
$$
where $it Ei$ is the exponential integral.
I cannot recognize that as something having a known name. Where did you encounter this?
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
$endgroup$
1
$begingroup$
I needed to define it in the course of working on problem in mathematical genetics. It would not surprise me to find that it is relatively unknown -- always good to double-check though!
$endgroup$
– jth
6 hours ago
1
$begingroup$
This math search engine searchonmath.com/… do not find anything.
$endgroup$
– kjetil b halvorsen
6 hours ago
add a comment |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
If you meant $s>0$ then the density function becomes
$$
f(s) = frac alpha1-2,rm e^alphait Ei left( 3,alpha
right) cdot fracss+alpha e^-s
$$
where $it Ei$ is the exponential integral.
I cannot recognize that as something having a known name. Where did you encounter this?
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
$endgroup$
1
$begingroup$
I needed to define it in the course of working on problem in mathematical genetics. It would not surprise me to find that it is relatively unknown -- always good to double-check though!
$endgroup$
– jth
6 hours ago
1
$begingroup$
This math search engine searchonmath.com/… do not find anything.
$endgroup$
– kjetil b halvorsen
6 hours ago
add a comment |
$begingroup$
If you meant $s>0$ then the density function becomes
$$
f(s) = frac alpha1-2,rm e^alphait Ei left( 3,alpha
right) cdot fracss+alpha e^-s
$$
where $it Ei$ is the exponential integral.
I cannot recognize that as something having a known name. Where did you encounter this?
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
$endgroup$
1
$begingroup$
I needed to define it in the course of working on problem in mathematical genetics. It would not surprise me to find that it is relatively unknown -- always good to double-check though!
$endgroup$
– jth
6 hours ago
1
$begingroup$
This math search engine searchonmath.com/… do not find anything.
$endgroup$
– kjetil b halvorsen
6 hours ago
add a comment |
$begingroup$
If you meant $s>0$ then the density function becomes
$$
f(s) = frac alpha1-2,rm e^alphait Ei left( 3,alpha
right) cdot fracss+alpha e^-s
$$
where $it Ei$ is the exponential integral.
I cannot recognize that as something having a known name. Where did you encounter this?
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
$endgroup$
If you meant $s>0$ then the density function becomes
$$
f(s) = frac alpha1-2,rm e^alphait Ei left( 3,alpha
right) cdot fracss+alpha e^-s
$$
where $it Ei$ is the exponential integral.
I cannot recognize that as something having a known name. Where did you encounter this?
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
answered 7 hours ago
kjetil b halvorsenkjetil b halvorsen
35.6k9 gold badges90 silver badges274 bronze badges
35.6k9 gold badges90 silver badges274 bronze badges
1
$begingroup$
I needed to define it in the course of working on problem in mathematical genetics. It would not surprise me to find that it is relatively unknown -- always good to double-check though!
$endgroup$
– jth
6 hours ago
1
$begingroup$
This math search engine searchonmath.com/… do not find anything.
$endgroup$
– kjetil b halvorsen
6 hours ago
add a comment |
1
$begingroup$
I needed to define it in the course of working on problem in mathematical genetics. It would not surprise me to find that it is relatively unknown -- always good to double-check though!
$endgroup$
– jth
6 hours ago
1
$begingroup$
This math search engine searchonmath.com/… do not find anything.
$endgroup$
– kjetil b halvorsen
6 hours ago
1
1
$begingroup$
I needed to define it in the course of working on problem in mathematical genetics. It would not surprise me to find that it is relatively unknown -- always good to double-check though!
$endgroup$
– jth
6 hours ago
$begingroup$
I needed to define it in the course of working on problem in mathematical genetics. It would not surprise me to find that it is relatively unknown -- always good to double-check though!
$endgroup$
– jth
6 hours ago
1
1
$begingroup$
This math search engine searchonmath.com/… do not find anything.
$endgroup$
– kjetil b halvorsen
6 hours ago
$begingroup$
This math search engine searchonmath.com/… do not find anything.
$endgroup$
– kjetil b halvorsen
6 hours ago
add a comment |
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$begingroup$
Do you intend $s>0$?
$endgroup$
– kjetil b halvorsen
7 hours ago
$begingroup$
@kjetilbhalvorsen Yes, edited.
$endgroup$
– jth
6 hours ago