Lognormal fitting with 10-base

I have the statistical toolbox and used it to make a lognormal fitting with e-base. Now I need a lognormal fitting with 10-base, does anyone know how to do this?

Answer 1

[Torsten]

If you are still interested in an answer to your question:

(mu)^= 1/n * sum_{i=1}^{n} Log10[x_i]

and

(sigma^2)^ = Ln[10]/n * sum_{i=1}^{n} (Log10[x_i]-(mu)^)^2

are maximum likelihood estimates for the parameters of your distribution with density function

f(x)=1/(Sqrt[2*Pi*Ln[10]]*Sigma*x)*10^(-(Log10[x]-mu)^2/(2*sigma^2))

Note the normalization by a factor of Sqrt[Ln[10]] to make

integral_{x=0}^{x=Inf} f(x) dx = 1.

Best wishes

Torsten.

Answer 2

[Torsten]

What is the underlying probability density function for a lognormal fitting with 10-base ?

Best wishes

Torsten.

[Torsten]

This function does not integrate to 1 over (0,Inf).

Best wishes

Torsten.