sympy.stats.ShiftedGompertz() in Python

With the help of sympy.stats.ShiftedGompertz() method, we can get the continuous random variable which represents the shifted gompertz distribution.

Syntax : sympy.stats.ShiftedGompertz(name, b, eta)
Where, b and eta are real number and b, eta > 0.

Return : Return the continuous random variable.

Example #1 :
In this example we can see that by using sympy.stats.ShiftedGompertz() method, we are able to get the continuous random variable representing shifted gompertz distribution by using this method.

# Import sympy and ShiftedGompertz
from sympy.stats import ShiftedGompertz, density
from sympy import Symbol, pprint

z = Symbol("z")
b = Symbol("b", positive = True)
eta = Symbol("eta", positive = True)

# Using sympy.stats.ShiftedGompertz() method
X = ShiftedGompertz("x", b, eta)
gfg = density(X)(z)

pprint(gfg)

Output :

-b*z
/ / -b*z\ \ -b*z -eta*e
b*\eta*\1 – e / + 1/*e *e

Example #2 :

# Import sympy and ShiftedGompertz
from sympy.stats import ShiftedGompertz, density
from sympy import Symbol, pprint

z = 1.1
b = 2
eta = 3

# Using sympy.stats.ShiftedGompertz() method
X = ShiftedGompertz("x", b, eta)
gfg = density(X)(z)

pprint(gfg)

Output :

0.582907142397210