Week 1 Flashcards

1
Q

What is the signal and what is the noise? (In a linear regression for example)

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2
Q

What is the Local Level Model? (univariate) As what is it also known?

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3
Q

What is a diffuse prior density?

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4
Q

Show that the univariate LLM is stationary. Additionally name the two special cases of the LLM

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5
Q

How to simulate the LLM unconditionally? (4 steps)

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6
Q

What is the definition of of the signal-to-noise ratio (of univariate LLM)? How should it be interpreted?

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7
Q

What does the Kalman Filter compute?

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8
Q

What is the difference between the filtering step and the prediction step of a local level model?

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9
Q

What is the first step of running a Kalman Filter?

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10
Q

What is the second step of running a Kalman filter?

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11
Q

What are all the equations of computing the Kalman filter? There are 7

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12
Q

What is the definition of the prediction error and the state estimation? How are these related to each other?

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13
Q

What does Kalman smoothing imply?

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14
Q

How can the Kalman smoother be computed (main idea)?

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15
Q

What is the difference between Filtering and Smoothing?

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16
Q

What are the recursions (4) given by the Kalman smoother?

17
Q

How are both the Filter and Smoother derived (i.e., which technique is used to get this estimation)? When do both methods have the highest amount of uncertainty?

18
Q

What is the idea of weights in the Kalman Filter? How can they be implemented?

19
Q

How to deal with missing observations for smoothing/filtering?

20
Q

How to deal with forcasting when filtering?

21
Q

How are LLM models estimated?