In: Math
How does the likelihood function change for Random Vectors vs Random Variables?
Say: If you have Random Variables A1...An with a normal distribution, with mean mu_A and Variance and another Random Variable, B1...Bn, with mean mu_B and Variance...
If there's a random vector C, which equals (a1, ... an, b1, ... bn), and you wanted the likelihood function, would you have two likelihood functions likelihood(a) & likelihood (b) or just one likelihood(a, b)?