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The concept of a random sequence is essential in probability theory and statistics.
The concept generally relies on the notion of a sequence of random variables and many statistical discussions begin with the words " let X < sub > 1 </ sub >,..., X < sub > n </ sub > be independent random variables ...".
Yet as D. H. Lehmer stated in 1951: " A random sequence is a vague notion ... in which each term is unpredictable to the uninitiated and whose digits pass a certain number of tests traditional with statisticians ".

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