7. Assume that X₁,..., Xn is a random sample from a Bernoulli (p) and let Yn n 1/1 X₁. For p # 1/2, Determine the asymptotic distribution of √n[Yn(1 – Yn) - p(1 - p)].
7. Assume that X₁,..., Xn is a random sample from a Bernoulli (p) and let Yn n 1/1 X₁. For p # 1/2, Determine the asymptotic distribution of √n[Yn(1 – Yn) - p(1 - p)].
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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7. Assume that X₁,..., Xn is a random sample from a Bernoulli (p) and let Yn n 1/1 X₁. For p # 1/2, Determine the asymptotic distribution of √n[Yn(1 – Yn) - p(1 - p)].
7. Assume that \( X_1, ..., X_n \) is a random sample from a Bernoulli(p) and let \( {Y}_n = \1/n\sum_{i=1}^{n} X_i \). For \( p =/ 1/2), Determine the asymptotic distribution of \( \sqrt{n}({Y}_n(1 - {Y}_n) - p(1 - p)) \).
![7. Assume that X₁, Xn is a random sample from a Bernoulli(p) and let Y₁ =
EX. For p # 1/2, Determine the asymptotic distribution of √Y (1-
Yn)-p(1-p)].
71](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5af60965-6e25-4782-9151-7a379088f59d%2F168181d2-83d5-41f8-86f7-2f8e84dab21c%2Fdvsuht_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Assume that X₁, Xn is a random sample from a Bernoulli(p) and let Y₁ =
EX. For p # 1/2, Determine the asymptotic distribution of √Y (1-
Yn)-p(1-p)].
71
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