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math.ST2020★ 1 cited
On the sum of ordered spacings
Lolian Shtembari, Allen Caldwell
We provide the analytic forms of the distributions for the sum of ordered spacings. We do this both for the case where the boundaries are included in the calculation of the spacing…
math.ST2010★ 10 cited
A Test Statistic for Weighted Runs
Frederik Beaujean, Allen Caldwell
A new test statistic based on success runs of weighted deviations is introduced. Its use for observations sampled from independent normal distributions is worked out in detail. It…