Info
Diese Frage ist geschlossen. Öffnen Sie sie erneut, um sie zu bearbeiten oder zu beantworten.
how can i write t truncated distribution as a likelihood?
2 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
i have this function
f(x)= [(gamma((v+1)/2))/(gamma(v/2)(2π).^(1/2)* σ] *(1+((x-μ)^2)/(v*σ^2 ))).^(-(v+1)/2)*(1/ (F(b)-F(a)))
i want to write the function as likelihood function(L)?
0 Kommentare
Antworten (1)
Jeff Miller
am 21 Mär. 2018
Not entirely clear what you are asking. Without looking too closely, your equation looks like the conditional density of x for a truncated distribution such that a<=x<=b. One normally computes "likelihood" with respect to a set of data, say y_i, i=1..n. Here, you could compute that with L=prod(f(y_i)). If that isn't what you are after, can you explain a bit more?
3 Kommentare
Jeff Miller
am 22 Mär. 2018
As I understand it, the likelihood function is the same as the density function, just viewed as a function of the parameters rather than a function of the data. So you might write:
L(μ,σ|x,k,a,b) = k * (1+((x-μ)^2)/(vσ^2 ))).^(-(v+1)/2)*(1/ (F(b)-F(a)))
But I suspect that you already know this and that you are actually asking math questions that are well beyond me (sum the brackets, raise to n, and differentiate). Sorry I cannot be more helpful.
Diese Frage ist geschlossen.
Siehe auch
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!