# Definition:Discrete Time Series/Sampling

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## Definition

A **discrete time series** can be obtained by taking observations at predetermined instants from a comtinuous time series of measurements of the process in question.

## Examples

### Gas Furnace

An example of a discrete time series obtained by sampling a continuous time series would be the input and output of a gas furnace sampled at intervals of $10$ seconds.

## Also see

## Sources

- 1994: George E.P. Box, Gwilym M. Jenkins and Gregory C. Reinsel:
*Time Series Analysis: Forecasting and Control*(3rd ed.) ... (previous) ... (next):

- Part $\text {I}$: Stochastic Models and their Forecasting:
- $2$: Autocorrelation Function and Spectrum of Stationary Processes:
- $2.1$ Autocorrelation Properties of Stationary Models:
- $2.1.1$ Time Series and Stochastic Processes: Time series: $1$

- $2.1$ Autocorrelation Properties of Stationary Models:

- $2$: Autocorrelation Function and Spectrum of Stationary Processes:

- Part $\text {I}$: Stochastic Models and their Forecasting: