Let a be a uniformly distributed random variable taking values in {a,a+}, where a- = - and a4 = +, and let S be a sample of m 2 1 random variables X1,..., Xm taking values in {0, 1} and drawn i.i.d. according to the distribution Da defined by Prp.[X = 1] = a. Let h be a function from X to {a_, a4}, then the following holds: %3D %3D E Pr [h(S) a] > $(2[m/2], e), S~D (3.41) where (m, e) = (1- V1- exp (- me for all m and e.
Let a be a uniformly distributed random variable taking values in {a,a+}, where a- = - and a4 = +, and let S be a sample of m 2 1 random variables X1,..., Xm taking values in {0, 1} and drawn i.i.d. according to the distribution Da defined by Prp.[X = 1] = a. Let h be a function from X to {a_, a4}, then the following holds: %3D %3D E Pr [h(S) a] > $(2[m/2], e), S~D (3.41) where (m, e) = (1- V1- exp (- me for all m and e.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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can u prove it
![Lemma 3.2
Let a be a uniformly distributed random variable taking values in {a-,a4}, where
=-들 and a+ =
X1,..., Xm taking values in {0, 1} and drawn i.i.d. according to the distribution Da
defined by Prp. [X
following holds:
+ 5, and let S be a sample of m > 1 random variables
1] = a. Let h be a function from Xm to {a-, a+}, then the
%3D
E
Pr [h(S) # a] > D(2[m/2],e),
a ls~Dm
(3.41)
where (m, e) = (1- V1-
me2
exp
2)) for all m and e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35ce7774-c848-4530-bf65-9f104e2ecb95%2F900260c4-d53b-40e9-a8ed-cae4a7d800ec%2Fa4ym8k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Lemma 3.2
Let a be a uniformly distributed random variable taking values in {a-,a4}, where
=-들 and a+ =
X1,..., Xm taking values in {0, 1} and drawn i.i.d. according to the distribution Da
defined by Prp. [X
following holds:
+ 5, and let S be a sample of m > 1 random variables
1] = a. Let h be a function from Xm to {a-, a+}, then the
%3D
E
Pr [h(S) # a] > D(2[m/2],e),
a ls~Dm
(3.41)
where (m, e) = (1- V1-
me2
exp
2)) for all m and e.
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