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Can a two parameter Weibull Distribution be written as an exponential family form?
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John BG
2017-3-27
Keqiao
makedist generates exactly the same points when the setting
Weibull a = Exponential mu
a:scale b:shape
.
pd1=makedist('Weibull','a',2,'b',2) % a:scale b:shape
nx=[0:.1:10]
y=pdf(pd1,nx)
plot(y,'r');grid on
hold all
pd2=makedist('Weibull','a',2,'b',1) % a:scale b:shape
y2=pdf(pd2,nx)
plot(y2,'b');
pd3=makedist('Exponential','mu',2) % a:scale b:shape
y3=pdf(pd3,nx)
plot(y3,'k')
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/173531/image.jpeg)
.
y2 blue and y3 black are completely overlapped.
isequal(y2,y3)
ans =
1
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thanks in advance for time and attention
John BG
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