We have N measurements collected as i.i.d. observations from a random variable x and the pdf of measurements is in binomial form as N p(x[r] |s)=() s*[n] (1-s)(N-*[n]) for n = 0,..(N-1). 1.... where s...


<>


We have N measurements collected as i.i.d. observations from a random variable x and the pdf of measurements is<br>in binomial form as<br>N<br>p(x[r] |s)=()<br>s*[n] (1-s)(N-*[n]) for n = 0,..(N-1).<br>1....<br>where s denotes the probability of success.<br>a. Write p(x | s) and design a ML (Maximum Likelihood) estimator for s.<br>b. Show that the ML estimator is unbiased. (Hint: E[ x [n] ]= Ns for the binomial distribution)<br>c. Calculate the CRLB (Cramer-Rao lower bound).<br>d. Show that the estimator is efficient.<br>

Extracted text: We have N measurements collected as i.i.d. observations from a random variable x and the pdf of measurements is in binomial form as N p(x[r] |s)=() s*[n] (1-s)(N-*[n]) for n = 0,..(N-1). 1.... where s denotes the probability of success. a. Write p(x | s) and design a ML (Maximum Likelihood) estimator for s. b. Show that the ML estimator is unbiased. (Hint: E[ x [n] ]= Ns for the binomial distribution) c. Calculate the CRLB (Cramer-Rao lower bound). d. Show that the estimator is efficient.

Jun 07, 2022
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here