I have got a question regarding the correct mathematical notation of the following:
I have a value "alpha" that is the maximum of a set of k correlation coefficient (ρ) (calculated according to "Pearson correlation coefficient"between two time-series of yields). Each correlation coefficient has been calculated to the reference "yield_0" e.g:
correl(yield_0,yield_1)=ρ_0_1;
correl(yield_0,yield_2)=ρ_0_2;
correl(yield_0,yield_3)=ρ_0_3;
correl(yield_0,yield_4)=ρ_0_4;
So the range of ρ is between 1 and k. Could the notation be put in such a way:
α=max{f(ρ):ρ=1,…,k}.