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Plot70WeibullPPP.m
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Plot70WeibullPPP.m
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% |**********************************************************************;
% * Project : Examinations of Assumptions of
% * Environmental Load Models
% *
% * Program name : PlotExponentialPPP.m
% *
% * Author : Maulin Amin
% *
% * Date created : December 18, 2018
% *
% * Purpose : Plots exponential PPP
%
% * Note :
% *
% * Revision History :
% *
% * Date Author Ref Revision (Date in YYYYMMDD format)
% * 2018/12/18 M Amin 1 Re-write from a previously written
% program.
% 2019/01/02 M Amin 2 Rename plot files to be saved.
% *
% |**********************************************************************;
function [A,Y] = PlotWeibullPPP(i,isInterArrival,Data)
A = Data;
if isInterArrival == 0
%PLOT THE WEIBULL PPP for Wind Speed Data
p = polyfit(A.WeibPi,A.Ln_KMPH,1);
f = polyval(p,A.WeibPi);
plot(A.WeibPi,A.Ln_KMPH,'.',A.WeibPi,f,'-')
grid on;
legend('data','linear fit')
dim = [0.2 0.5 0.3 0.3];
mdl = fitlm(A.WeibPi,A.Ln_KMPH);
ylabel('Ln(Xi-70)'); xlabel('Ln(-Ln(1-Pi))');
X = sprintf('Weibull');
legend('data','linear fit','Location','southeast')
title(X);
set(gca,'FontName','Times');
set(gcf,'Units','inches') % Set figure size units of "current figure"
set(gcf,'Color','white');
set(gcf,'Position',[0,0,3,2.5]) % Set figure width (6 in.) and height (4 in.)
switch i
case 1
print -deps2c 3-4-1-c.eps % Save as PDF
movefile('3-4-1-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 2
print -deps2c 3-4-2-c.eps % Save as PDF
movefile('3-4-2-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 3
print -deps2c 3-4-3-c.eps % Save as PDF
movefile('3-4-3-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 4
print -deps2c 3-4-4-c.eps % Save as PDF
movefile('3-4-4-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 5
print -deps2c 3-4-5-c.eps % Save as PDF
movefile('3-4-5-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 6
print -deps2c 3-4-6-c.eps % Save as PDF
movefile('3-4-6-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 7
print -deps2c 3-4-7-c.eps % Save as PDF
movefile('3-4-7-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 8
print -deps2c 3-4-8-c.eps % Save as PDF
movefile('3-4-8-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
end
%Calculation of the value of statistics
alpha = 1/p(1);
beta = exp( p(2) );
R_Sq = mdl.Rsquared.Ordinary;
mean = beta *( gamma( 1+(1/alpha) ) );
var = (beta^2)*( gamma(1+(2/alpha)) - (gamma(1+(1/alpha)))^2 );
sd = sqrt(var);
cov = sd/mean;
Y = sprintf('Weibull PPP: %f X + %f; R-squared = %f; alpha = %f, beta = %f, Mean = %f; Variance = %f, Covariance = %f',p(1),p(2),R_Sq,alpha,beta,mean,var,cov);
else
%PLOT THE WEIBULL PPP for Inter-Arrival Time Data
p = polyfit(A.WeibPi,A.Ln_TI,1);
f = polyval(p,A.WeibPi);
plot(A.WeibPi,A.Ln_TI,'.',A.WeibPi,f,'-')
grid on;
legend('data','linear fit')
dim = [0.2 0.5 0.3 0.3];
mdl = fitlm(A.WeibPi,A.Ln_TI);
ylabel('Ln(Xi-7)'); xlabel('Ln(-Ln(1-Pi))');
X = sprintf('Weibull');
legend('data','linear fit','Location','southeast')
title(X);
set(gca,'FontName','Times');
set(gcf,'Units','inches') % Set figure size units of "current figure"
set(gcf,'Color','white');
set(gcf,'Position',[0,0,3,2.5]) % Set figure width (6 in.) and height (4 in.)
switch i
case 1
print -deps2c 3-5-1-c.eps % Save as PDF
movefile('3-5-1-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 2
print -deps2c 3-5-2-c.eps % Save as PDF
movefile('3-5-2-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 3
print -deps2c 3-5-3-c.eps % Save as PDF
movefile('3-5-3-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 4
print -deps2c 3-5-4-c.eps % Save as PDF
movefile('3-5-4-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 5
print -deps2c 3-5-5-c.eps % Save as PDF
movefile('3-5-5-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 6
print -deps2c 3-5-6-c.eps % Save as PDF
movefile('3-5-6-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 7
print -deps2c 3-5-7-c.eps % Save as PDF
movefile('3-5-7-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 8
print -deps2c 3-5-8-c.eps % Save as PDF
movefile('3-5-8-c.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
end
%Calculation of the value of statistics
alpha = 1/p(1);
beta = exp( p(2) );
R_Sq = mdl.Rsquared.Ordinary;
mean = beta *( gamma( 1+(1/alpha) ) );
var = (beta^2)*( gamma(1+(2/alpha)) - (gamma(1+(1/alpha)))^2 );
sd = sqrt(var);
cov = sd/mean;
Y = sprintf('Weibull PPP: %f X + %f; R-squared = %f; alpha = %f, beta = %f, Mean = %f; Variance = %f, Covariance = %f',p(1),p(2),R_Sq,alpha,beta,mean,var,cov);
end
end