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PlotExponentialPPP.m
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PlotExponentialPPP.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.
% *
% |**********************************************************************;
function [A,Y] = PlotExponentialPPP(i,isInterArrival,Data)
A = Data;
if isInterArrival == 0
%PLOT THE EXPONENTIAL PPP for Wind Speed Data
p = polyfitB(A.ExpPi,A.KMPH,1,0);
f = polyval(p,A.ExpPi);
plot(A.ExpPi,A.KMPH,'.',A.ExpPi,f,'-')
grid on;
legend('data','linear fit')
dim = [0.2 0.5 0.3 0.3];
mdl = fitlm(A.ExpPi,A.KMPH);
ylabel('Data(Xi-60)'); xlabel('-Ln(1-Pi)');
X = sprintf('Exponential');
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 3-2-1-b.eps % Save as PDF
movefile('3-2-1-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 2
print -deps2c 3-2-2-b.eps % Save as PDF
movefile('3-2-2-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 3
print -deps2c 3-2-3-b.eps % Save as PDF
movefile('3-2-3-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 4
print -deps2c 3-2-4-b.eps % Save as PDF
movefile('3-2-4-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 5
print -deps2c 3-2-5-b.eps % Save as PDF
movefile('3-2-5-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 6
print -deps2c 3-2-6-b.eps % Save as PDF
movefile('3-2-6-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 7
print -deps2c 3-2-7-b.eps % Save as PDF
movefile('3-2-7-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 8
print -deps2c 3-2-8-b.eps % Save as PDF
movefile('3-2-8-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
end
%Calculation of the value of statistics
lambda = 1/p(1);
R_Sq = mdl.Rsquared.Ordinary;
mean = 1/lambda;
var = 1/(lambda^2);
sd = sqrt(var);
cov = sd/mean;
Y = sprintf('Exponential PPP: %f X + %f; R-squared = %f; lambda = %f; Mean = %f; Variance = %f, Covariance = %f',p(1),p(2),R_Sq,lambda,mean,var,cov);
else
%PLOT THE EXPONENTIAL PPP for Inter-Arrival Time Data
p = polyfitB(A.ExpPi,A.TI,1,0);
f = polyval(p,A.ExpPi);
plot(A.ExpPi,A.TI,'.',A.ExpPi,f,'-')
grid on;
legend('data','linear fit')
dim = [0.2 0.5 0.3 0.3];
mdl = fitlm(A.ExpPi,A.TI);
ylabel('Data(Xi-7)'); xlabel('-Ln(1-Pi)');
X = sprintf('Exponential');
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 3-3-1-b.eps % Save as PDF
movefile('3-3-1-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 2
print -deps2c 3-3-2-b.eps % Save as PDF
movefile('3-3-2-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 3
print -deps2c 3-3-3-b.eps % Save as PDF
movefile('3-3-3-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 4
print -deps2c 3-3-4-b.eps % Save as PDF
movefile('3-3-4-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 5
print -deps2c 3-3-5-b.eps % Save as PDF
movefile('3-3-5-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 6
print -deps2c 3-3-6-b.eps % Save as PDF
movefile('3-3-6-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 7
print -deps2c 3-3-7-b.eps % Save as PDF
movefile('3-3-7-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
case 8
print -deps2c 3-3-8-b.eps % Save as PDF
movefile('3-3-8-b.eps','C:\Users\Maulin Amin\OneDrive - University of Waterloo\Waterloo\Winter 2018\Environment Canada\Thesis\Latex\plots');
end
%Calculation of the value of statistics
lambda = 1/p(1);
R_Sq = mdl.Rsquared.Ordinary;
mean = 1/lambda;
var = 1/(lambda^2);
sd = sqrt(var);
cov = sd/mean;
Y = sprintf('Exponential PPP: %f X + %f; R-squared = %f; lambda = %f; Mean = %f; Variance = %f, Covariance = %f',p(1),p(2),R_Sq,lambda,mean,var,cov);
end
end