sympy.stats.ShiftedGompertz() in Python

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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) 