Extreme Value Analysis Task

An Extreme Value Analysis Task is a outlier detection task based on the distribution tails (low or high value) of a probability distribution model for the data.

References

2016

• (Wikipedia, 2016) ⇒ http://wikipedia.org/wiki/Extreme_value_theory Retrieved:2016-4-12.
• Extreme value theory or extreme value analysis (EVA) is a branch of statistics dealing with the extreme deviations from the median of probability distributions. It seeks to assess, from a given ordered sample of a given random variable, the probability of events that are more extreme than any previously observed. Extreme value analysis is widely used in many disciplines, such as structural engineering, finance, earth sciences, traffic prediction, and geological engineering. For example, EVA might be used in the field of hydrology to estimate the probability of an unusually large flooding event, such as the 100-year flood. Similarly, for the design of a breakwater, a coastal engineer would seek to estimate the 50-year wave and design the structure accordingly.

1975

• (Pickands, 1975) ⇒ J. Pickands. (1975). “Statistical Inference using Extreme Order Statistics.” In: The Annals of Statistics, 3(1).
• ABSTRACT: A method is presented for making statistical inferences about the upper tail of a distribution function. It is useful for estimating the probabilities of future extremely large observations. The method is applicable if the underlying distribution function satisfies a condition which holds for all common continuous distribution functions.