The independent-oscillator model is thought to be a simple model for Brownian motion, explored extensively by Ford, Lewis and O'Connell. This model does not specify the distribution of the oscillators’ frequencies. By considering the distribution to be of two standard limits, otherwise...

We present recurrence relations for the moments of order statistics from the Topp–Leone distribution without any restriction for the shape parameter. Several relations are also derived when the shape parameter is an integer. An application of the results is provided.

In this paper, we consider the missing information in determining the optimal allocation of removals in a Type II progressive censoring scheme. We provide a simple expression and a recurrence relation for the missing information. Then we provide a simple way of determining an optimal censoring...

Many graph invariants (chromatic number, rook polynomial, Tutte polynomial, etc.) are known to be computable for general graphs in exponential time only. Algorithms for their computation usually depend on special properties of the invariants and are not extendable to slightly different problems.