From a Poission distribution with mean 2, let y1, y2, y3, ... , yn be a random sample. The following estimators of A: Â2 = n(y1 + y2 + ·…·+ yn) Yı + y2 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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Please help me on these three questions.

From a Poission distribution with mean 2, let y1, y2, y3, ..., yn be a random sample.
The following estimators of :
âz = n(y1 + y2 + …·+ yn)
Yı + y2
2
Y1
Â4 =
n
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?
Transcribed Image Text:From a Poission distribution with mean 2, let y1, y2, y3, ..., yn be a random sample. The following estimators of : âz = n(y1 + y2 + …·+ yn) Yı + y2 2 Y1 Â4 = n 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?
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