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Random element
The term random element was introduced by Maurice Frechet in 1948 to refer to a random variable that takes values in spaces more general than had previously been widely considered. Frechet commented that the "development of probability theory and expansion of area of its applications have led to necessity to pass from schemes where (random) outcomes of experience can be described by number or a finite set of numbers, to schemes where outcomes of experience represent, for example, vectors, functions, processes, fields, series, transformations, and also sets or collections of sets".
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