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Analytical function describing transition from stretched exponential to power law
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The results of a simulation I have launched look like this
My goal is to find an analytical fit of these functions. As it can be seen, the curve labeled with probability $p = 1.0$ "seems" a stretched exponential function, while decreasing the probability, the curve looks more like a power law. Does anyone know an analytical function which evolves from a stretched exponential to a power law changing its parameters?
Of course, if you believe it is not a stretched exponential evolving to a power law, you can suggest your approach.
exponential-function graphing-functions
asked Jul 18 at 20:07
Giacomo
62
add a comment |Â
up vote
1
down vote
favorite
The results of a simulation I have launched look like this
My goal is to find an analytical fit of these functions. As it can be seen, the curve labeled with probability $p = 1.0$ "seems" a stretched exponential function, while decreasing the probability, the curve looks more like a power law. Does anyone know an analytical function which evolves from a stretched exponential to a power law changing its parameters?
Of course, if you believe it is not a stretched exponential evolving to a power law, you can suggest your approach.
exponential-function graphing-functions
asked Jul 18 at 20:07
Giacomo
62
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
The results of a simulation I have launched look like this
My goal is to find an analytical fit of these functions. As it can be seen, the curve labeled with probability $p = 1.0$ "seems" a stretched exponential function, while decreasing the probability, the curve looks more like a power law. Does anyone know an analytical function which evolves from a stretched exponential to a power law changing its parameters?
Of course, if you believe it is not a stretched exponential evolving to a power law, you can suggest your approach.
exponential-function graphing-functions
asked Jul 18 at 20:07
Giacomo
62
The results of a simulation I have launched look like this
My goal is to find an analytical fit of these functions. As it can be seen, the curve labeled with probability $p = 1.0$ "seems" a stretched exponential function, while decreasing the probability, the curve looks more like a power law. Does anyone know an analytical function which evolves from a stretched exponential to a power law changing its parameters?
Of course, if you believe it is not a stretched exponential evolving to a power law, you can suggest your approach.
exponential-function graphing-functions
asked Jul 18 at 20:07
Giacomo
62
edited Jul 19 at 7:24
asked Jul 18 at 20:07
Giacomo
62
asked Jul 18 at 20:07
Giacomo
62
asked Jul 18 at 20:07
Giacomo
62
62
add a comment |Â
add a comment |Â
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