Created
July 26, 2020 06:50
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Bathtub curve and Weibull distribution
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clear all; close all; | |
f = @(m,eta,g,t) m/eta^m*(t-g).^(m-1); | |
t=0.1:0.1:2; | |
m=0.5; eta=3; g = 0; | |
lambda = f(m,eta,g,t); | |
subplot(311); | |
plot(t,lambda); | |
hold on; | |
t=2:0.1:6; | |
m=1; eta=5; g = 1; | |
lambda = f(m,eta,g,t); | |
plot(t,lambda); | |
t=6:0.1:10; | |
m=3.5; eta=7; g = 1; | |
lambda = f(m,eta,g,t); | |
plot(t,lambda); | |
syms x; | |
f = @(m,eta,g) m/eta^m*(x-g).^(m-1); | |
t=0.1:0.1:2; | |
m=0.5; eta=3; g = 0; | |
R(x) = exp(-int(f(m,eta,g),0,x)); | |
subplot(312); | |
plot(t,R(t));hold on; | |
subplot(313); | |
pdf(x)=-diff(R); | |
plot(t,pdf(t));hold on; | |
t=2:0.1:6; | |
m=1; eta=5; g = 1; | |
R(x) = exp(-int(f(m,eta,g),0,x)); | |
subplot(312); | |
plot(t,R(t)); | |
subplot(313); | |
pdf(x)=-diff(R); | |
plot(t,pdf(t)); | |
m=3.5; eta=7.071067812; g = 1; | |
t=6:0.1:10; | |
f = @(m,eta,g) m/eta^m*(x-g).^(m-1); | |
R(x) = exp(-int(f(m,eta,g),0,x)); | |
subplot(312); | |
plot(t,R(t)); | |
subplot(313); | |
pdf(x)=-diff(R); | |
plot(t,pdf(t)); | |
subplot(311);title('Failure rate lambda'); | |
subplot(312);title('Reliability R(t)'); | |
subplot(313);title('Failure PDF f(t)'); | |
sgtitle('Bathtub curve') |
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