migabo
Jan 9, 2013, 08:35 PM
PLEASE HELP ME !
Consider the sample (X1,X2,. Xn) drawn from a discrete random variable with the following probability mass function :
P(X = x) = p(1 - p)1-x (note , the 1-x is a power or its placed above p(1-p).
with p E (0; 1) and x = 1; 2; 3... Determine:
a) The maximum likelihood estimator for 1/p
b) The maximum likelihood estimator for V ar(X) = (1 - p) /p^2 ( note ,its p to the power of 2).
Consider the sample (X1,X2,. Xn) drawn from a discrete random variable with the following probability mass function :
P(X = x) = p(1 - p)1-x (note , the 1-x is a power or its placed above p(1-p).
with p E (0; 1) and x = 1; 2; 3... Determine:
a) The maximum likelihood estimator for 1/p
b) The maximum likelihood estimator for V ar(X) = (1 - p) /p^2 ( note ,its p to the power of 2).