function alpha=ccdf(empirical,cutmin) %function alpha=ccdf(empirical,cutmin) % Display log-log Complementary CDFs % Copyright (c) 2004-2006 Alessio Botta, Alberto Dainotti, Antonio Pescapè % Email: {a.botta , alberto , pescape }@unina.it % DIS - Dipartimento di Informatica e Sistemistica % University of Napoli Federico II, ITALY % All rights reserved. % % Redistribution and use in source and binary forms, with or without % modification, are permitted provided that the following conditions % are met: % 1. Redistributions of source code must retain the above copyright % notice, this list of conditions and the following disclaimer. % 2. Redistributions in binary form must reproduce the above copyright % notice, this list of conditions and the following disclaimer in the % documentation and/or other materials provided with the distribution. % 3. Redistributions of source code or in binary form must clearly reproduce % the reference to the web site from which they were downloaded. % % THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND % ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE % IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE % ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE % FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL % DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS % OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) % HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT % LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY % OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF % SUCH DAMAGE. [ycdf, xcdf] = cdfcalc(empirical); % Align ycdf and xcdf (see "help cdfcalc") ycdf = ycdf(2:length(ycdf)); % Discard elements negative or null for logarithm discard1 = find(xcdf <= 0); xcdf(discard1) = []; ycdf(discard1) = []; discard2 = find((1-ycdf) <= 0); xcdf(discard2) = []; ycdf(discard2) = []; x1 = xcdf; y1 = log10(1-ycdf); % Discard elements smaller than "cutmin" xalpha = x1; yalpha = y1; if (cutmin ~= 0) discard = find(x1 <= cutmin); xalpha(discard) = []; yalpha(discard) = []; end % Computing alpha parameter xa = min(xalpha)-0.1:(max(xalpha)-min(xalpha))/10:max(xalpha)+0.1; %xa = 0:(max(xalpha)-min(xalpha))/10:max(xalpha)+0.1; p = polyfit(xalpha,yalpha,1); ya = p(1) * xa + p(2); alpha = -p(1); % Plot plot(x1,y1,'b-',xa,ya,'r--'); title(sprintf('Complementary CDF of interarrival times')); xlabel('[x] = 1E-6 s'); ylabel(sprintf('log10(1-F(x))')); %legend('Empirical CCDF','Linear fit'); %[s1,err] = sprintf('%s\\LOG_COMPL_CDF',directory); %print_figure(s1); grid