Abstract:The joint limiting distribution of maximum of the specific sub-sample and
maximum of the complete sample from the first-order auto-regressive process
with uniform marginal distributions is obtained in this article. There are
considered several examples of partial samples, consisted of non-randomly
selected terms of the full sample. It is well known that the uniform AR(1)
process is strictly stationary random sequence; it doesn?t satisfy condition
of weak dependency, that prohibits clustering … Show more
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