8) The Law of Large Numbers Flashcards

1
Q

What is the One-Series Theorem

A
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2
Q

What result holds if the random variables in the One-Series Theorem are uniformly bounded

A
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3
Q

What is the Two-Series Theorem

A
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4
Q

What result holds if the random variables in Two-Series Theorem are uniformly bounded?

A
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5
Q

What does the notation X^c represent

A
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6
Q

What is the Three-Series Theorem

A
The converse is true
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7
Q

What does Cesaro’s Lemma state

A
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8
Q

What does Kronecker’s Lemma state

A
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9
Q

What does the Expectation by Series Lemma state

A
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10
Q

What is the Law of Large Numbers

A
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11
Q

What condition is sufficient and necessary for the almost sure convergence of the average of random variables

A
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12
Q

What is Kolmogorov’s Theorem

A
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