Mathematics, 18.12.2019 21:31 ccamiloggonzales1234
We will now derive the probability that a given observation is part of a bootstrap sample. suppose that we obtain a bootstrap sample from a set of n observations.
a. what is the probability that the first bootstrap observation is not the j^th observation from the original sample? justify your answer.
b. what is the probability that the second bootstrap observation is not the j^th observation from the original sample?
c. argue that the probability that the j^th observation is not in the bootstrap sample is (1 - 1/n)^n.
d. when n = 5, what is the probability that the j^th observation is in the bootstrap sample?
e. when n = 100, what is the probability that the j^th observation is in the bootstrap sample?
Answers: 1
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We will now derive the probability that a given observation is part of a bootstrap sample. suppose t...
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