From a Poission distribution with mean 1, let y1, y2, Y3, ... , yn be a random sample. The following estimators of a: â = y â2 = n(y1 + y2 + ·…·+ yn) Yı + y2 âz = 2 y1 1. Which of the above estimators is/are unbiased? Justify. 2. Which of the above is/ are biased? Compute for the bias. 3. Which of the estimators have the smallest variance?
From a Poission distribution with mean 1, let y1, y2, Y3, ... , yn be a random sample. The following estimators of a: â = y â2 = n(y1 + y2 + ·…·+ yn) Yı + y2 âz = 2 y1 1. Which of the above estimators is/are unbiased? Justify. 2. Which of the above is/ are biased? Compute for the bias. 3. Which of the estimators have the smallest variance?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 11PPS
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