Book - Chapter 8 Analytical Theory Time Series Flashcards

1
Q

What does timeseries mean

A

Ordered sequence of equally spaced values over time

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2
Q

What does timeseries analysis mean

A

Accounts For the internal structure of observations taken over time

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3
Q

What are the goals of timeseries analysis

A

To identify the internal structure of the time series. To forecast future events

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4
Q

What is the box Jenkins method

A

A RMA. Autoregressive moving averages

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5
Q

What does the box Jenkins method do

A

Models historical behaviour to forecast the future

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6
Q

What would you use box Jenkins Method /ARMA to do

A

Forecast. For example, next months sales, tomorrow’s stock price, hourly power demand

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7
Q

What three components do you need to model a timeseries

A

The trend term. The seasonal term. The random component

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8
Q

What does box Jenkins methodology assume

A

The random component is a stationary sequence

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9
Q

What makes a stationary sequence

A

Constant mean. Constant variance. Autocorrelation does not change over time

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10
Q

To obtain a stationary sequence what must the data be

A

Detrended and seasonally adjusted

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11
Q

How would you remove a simple linear trend

A

By subtracting a least squares fit straight line

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12
Q

ARMA model is also known as

A

The P, Q model

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13
Q

ARIMA as what to the ARMA model

A

Adds a difference in time

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14
Q

In Arima what does it mean

A

Autoaggressive intra dated moving average. It includes the detrending as part of the model

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15
Q

what is ARIMA also known as

A

The p d q model.

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16
Q

The Arima model, Multiple models need to be built in compared using

A

ACF and PACF

17
Q

What is ACF

A

Autocorrelation function. Correlation of the values of the timeseries with itself. It helps to determine the order, Q, of a MA model

18
Q

What is PACF

A

Partial autocorrelation function. And autocorrelation calculated after removing the linear dependence of the previous terms. Helps to determine the order, P, of a AR model

19
Q

What is the quantity H in ACF referred to as

A

Lag

20
Q

What is the white noise process

A

The Eire term and is used to represent random, independent fluctuations that are part of the timeseries

21
Q

What is the PACF

A

After linear regression is used to remove the effect of the variables the PaCF is the correlation of what remains