Statistics - (Periodicity|Periodic phenomena|Cycle)

Thomas Bayes


Periodic phenomena such as:

  • sound and light waves,
  • the position and velocity of harmonic oscillators,
  • sunlight intensity and day length,
  • and average temperature variations throughout the year. See Time Serie - Seasonality (Cycle detection)


Trigonometric functions are important in modeling periodic phenomena:

See wiki/Periodic_function

All periodic functions can be exactly represented by Fourier Series

A function is periodic, with fundamental period T, if the following is true for all t: <MATH> f(t+T)=f(t) </MATH>

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