Mathematical Statistics?

LET X1,X2,…..Xn denote a random sample from a population Bernoulli distribution with the probability distrubution function,


P(Xi=x)=pˣ (1-p)¹ ¯ ˣ for x=0,1 and parameter p.


a)Find the maximum likelihood estimator(MLE) of (1-p)²


b)Is the estimator in (a) unbiased? If it is biased,Find an unbiased estimator of (1-p)².|||See links to answer your problems:





http://mathworld.wolfram.com/BernoulliDi…


http://en.wikipedia.org/wiki/Maximum_lik…





Good luck!