We consider here the Negative Binomial Distribution Ninom(m, p), with fixed, known m E N. Recall that the PMF of that Distribution is given by ƒ(x\m,p) = (x − = (x − m-1 Also recall that for X~ NBinom(m, p), Show Transcribed Text ¹) · ¹) .pm . (1 - p)²-m, E(X) m == P xm, m+ 1, m+2,.... and Var (X): = a. Find the MLE Estimator for p b. Estimate the Variance of that Distribution using the MLE method; c. Calculate the Fisher Information for p. Show and explain below all your steps. m(1 − p). p²
We consider here the Negative Binomial Distribution Ninom(m, p), with fixed, known m E N. Recall that the PMF of that Distribution is given by ƒ(x\m,p) = (x − = (x − m-1 Also recall that for X~ NBinom(m, p), Show Transcribed Text ¹) · ¹) .pm . (1 - p)²-m, E(X) m == P xm, m+ 1, m+2,.... and Var (X): = a. Find the MLE Estimator for p b. Estimate the Variance of that Distribution using the MLE method; c. Calculate the Fisher Information for p. Show and explain below all your steps. m(1 − p). p²
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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