- Access to
**800,000+**Textbook Solutions - Ask any question from
**24/7**available

Tutors **Live Video**Consultation with Tutors**50,000+**Answers by Tutors

Suppose we wish to estimate the probability PA of some

Suppose we wish to estimate the probability, PA, of some event A as outlined .As motivated by the result, suppose we repeat our experiment for a random number of trials, N. In particular, we run the experiment until we observe the event A exactly m times and then form the estimate of PA according to

Here, the random variable represents the number of trials until the m th occurrence of A.

(a) Find E [ṔA]. Is this estimate unbiased?

(b) Would it be better to use ṔA = m / N as an estimate?

Here, the random variable represents the number of trials until the m th occurrence of A.

(a) Find E [ṔA]. Is this estimate unbiased?

(b) Would it be better to use ṔA = m / N as an estimate?

Membership
TRY NOW

- Access to
**800,000+**Textbook Solutions - Ask any question from
**24/7**available

Tutors **Live Video**Consultation with Tutors**50,000+**Answers by Tutors

Relevant Tutors available to help