How we can calculate the property density function of probability distribution of this signal x by changing the value of tau from 0 up to 1.

If

x=(64;66;68;68;70;72;74;75;78;79;82;83;87;89);

mean(x); std(x);mu=70; s=1;

NB=sqrt(length(x)); %number of bins

Ns=14;%number of sample

NumberOfBins=NB

[counts,bins]=hist(x,NB)%

plot(bins,counts);

sum(counts);

counts=counts./sum(counts);

sum(counts);

figure

bar(bins,counts)

xlabel('Bins')

ylabel('Counts')

grid minor

hold on

mx=mean(x)

stv=std(x)

% to generate the probablity dnesity function values we are useing the

% command norm pdf normal probabiltiy density function

bins=bins(1):1:bins(end)

x_pdf= normpdf(bins,mu,s);

x_pdf=x_pdf./sum(x_pdf);

hold on

plot(bins,x_pdf,'r')% the evelute at bin points

legend('Histrogram','pdf')

[Sharmin Kibria]

I was looking at your code but do not see any tau parameters in it. Can you elaborate what does 'tau' represent in this problem? I am not familiar with the term 'property density function'. Are you referring to 'probability density function' or pdf?