139 citations · 610 across the 38 of their papers we have counts for
8 papers · 1 filter
On the Distribution of the Sum of n Non-Identically Distributed Uniform Random Variables
David M. Bradley, Ramesh C. Gupta
The distribution of the sum of independent identically distributed uniform random variables is well-known. However, it is sometimes necessary to analyze data which have been drawn…
On Representing the Mean Residual Life in Terms of the Failure Rate
Ramesh C. Gupta, David M. Bradley
In survival or reliability studies, the mean residual life or life expectancy is an important characteristic of the model. Whereas the failure rate can be expressed quite simply in…
Limiting Behaviour of the Mean Residual Life
David M. Bradley, Ramesh C. Gupta
In survival or reliability studies, the mean residual life or life expectancy is an important characteristic of the model. Here, we study the limiting behaviour of the mean residua…
On the Sum Formula for Multiple q-Zeta Values
David M. Bradley
Multiple q-zeta values are a 1-parameter generalization (in fact, a q-analog) of the multiple harmonic sums commonly referred to as multiple zeta values. These latter are obtained…
Peg Jumping for Fun and Profit
David M. Bradley, Hugh Thomas
We consider the problem of determining the minimum number of moves needed to solve a certain one-dimensional peg puzzle. Let N be a positive integer. The puzzle apparatus consists…
Multiple -Zeta Values
David M. Bradley
We introduce a -analog of the multiple harmonic series commonly referred to as multiple zeta values. The multiple -zeta values satisfy a -stuffle multiplication rule analo…