38 citations · 121 across the 45 of their papers we have counts for
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Order statistics on the spacings between order statistics for the uniform distribution
Iosif Pinelis
Closed-form expressions for the distributions of the order statistics on the spacings between order statistics for the uniform distribution are obtained. This generalizes a result…
Nonnegative sum-symmetric matrices, optimal-score partitions, and optimal resource allocation
Iosif Pinelis
The main result of the note describes certain optimal-score partitions, which can be interpreted as optimal resource allocations. This result is based on the fact that any nonnegat…
Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle
Iosif Pinelis
An exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle is given.
Generalized semimodularity: order statistics
Iosif Pinelis
A notion of generalized -semimodularity is introduced, which extends that of (sub/super)mod\-ularity in four ways at once. The main result of this paper, stating that every gene…
A simple and more general approach to Stokes' theorem
Iosif Pinelis
Oftentimes, Stokes' theorem is derived by using, more or less explicitly, the invariance of the curl of the vector field with respect to translations and rotations. However, this i…