5. Random Variables Flashcards

1
Q

Definition
Random Variable

A
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2
Q

Definition
Distribution

A
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3
Q

Proposition
Distribution is a Probability Measure
Proof

A
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4
Q

Definition
Discrete Random Variable

A
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5
Q

Definition
Probability Mass Function I

A
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6
Q

Definition
Discrete Support

A
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7
Q

Proposition
P_{X} = \sum
Proof

A
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8
Q

Definition
Probability Mass Function II

A
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9
Q

Proposition
PMF Implies Probability Space and Discrete Random Variable
Proof

A
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10
Q

Definition
Bernoulli Distribution

A
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11
Q

Definition
Geometric Distribution

A
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12
Q

Definition
Binomial Distribution

A
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13
Q

Definition
Poisson Distribution

A
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14
Q

Definition
Indicator Function

A
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15
Q

Proposition
Poisson Approximated Binomial
Proof?

A
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