Statistical regularity

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Statistical regularity is a notion in statistics that if, for example, one throws a dice once, it is difficult to predict the outcome, but if we repeat this experiment many times, we will see that the number of times each result occurs divided by the number of throws will eventually stabilize towards a specific value.

Repeating a series of trials will produce similar, but not identical, results for each series. This phenomenon is called statistical regularity.

The same idea occurs in games of chance, demographic statistics, quality control of a manufacturing process, and in many other parts of our lives.

Observations of this phenomenon provided the initial motivation for the concept of what is now known as frequency probability.

This phenomenon should not be confused with the Gambler's fallacy. In addition to that in order to define statistical regularity in a better way we consider the fact of that many probability models in different areas are based on the fact that averages obtained in long sequences of trials of random experiments consistently yield approximately the same value. This property is called statistical regularity.

[edit] References

1-Probability and Randome Processes for Electrical Engineering 2nd edition Alberto Leon garcia P5