# Definition:Empirical Model

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## Definition

Let $P$ be a real-world phenomenon whose underlying theory is not understood.

Then in order to construct a mathematical model, it is necessary to monitor and record the output while measuring the input conditions.

Hence the model is built up from observation and imitation.

Such a model is referred to as an **empirical model**.

## Sources

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

- $1$: Introduction:
- $1.3$ Basic Ideas in Model Building:
- $1.3.2$ Iterative Stages in the Selection of a Model

- $1.3$ Basic Ideas in Model Building:

- $1$: Introduction: