Sl.

Name of the distribution

Probability density function f(x)
  

Support

Parameters

1

Weibull mixtured Normal

-∞ < x<∞

a,b

2

Weibull mixtured Lognormal

x > 0

a,b 

3

Weibull mixtured Gamma

x > 0

a,b,α,β 

4

Weibull mixtured Exponential

x >0

a,b,α 

5

Weibull mixtured Erlang

x >0

a,b,α,β 
 

6

Weibull mixtured Rectangular

 

0 < x < m                  

a,b,m 
 

7

Weibull mixtured Beta 1st kind

 

0<x<1

a,b,α,β 
 

8

Weibull mixtured Beta 2nd kind

x > 0

a,b,α,β 
 

9

Weibull mixtured Chi-square

χ2 > 0

a,b,n 
 

10

Weibull mixtured t

-∞ < t < ∞

a,b,n 

11

Weibull mixtured F

F > 0

a,b,n1,n2
 

Table 1: Comparison of density functions of different Weibull mixture distributions. χ2>0.