Discuss the concept of Maximum Domain of Attraction (MDA) with examples.

The concept of Maximum Domain of Attraction (MDA) is used in the field of extreme value theory to determine the class of probability distributions that can be considered as potential models for extreme events. MDA encompasses the set of probability distributions that can result in extreme values, based on certain mathematical criteria. This concept is particularly useful in analyzing and modeling rare and extreme events, such as natural disasters, financial market crashes, or extreme weather phenomena.

MDA is defined based on the behavior of the tail distribution function. The tail distribution function represents the probability that a random variable exceeds a certain threshold value. In the context of extreme value theory, MDA focuses on the behavior of the tail distribution as it approaches the extreme ________ _____ ____ ____ _______.
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