5 papers
Joint Statistics of Random Walk on and Accumulation of Visits
Jerome K. Percus, Ora E. Percus
We obtain the joint distribution of the location of a one-dimensional symmetric next neighbor random walk on the integer lattice, and the number of times the wal…
Reinforced Brownian Motion on the Half-Line
Jerome K. Percus, Ora E. Percus
We analyze the Brownian Motion limit of a prototypical unit step reinforced random-walk on the half line. A reinforced random walk is one which changes the weight of any edge (or v…
The maximum of a symmetric next neighbor walk on the non-negative integers
Jerome K. Percus, Ora E. Percus
We consider a one-dimensional discrete symmetric random walk with a reflecting boundary at the origin. Generating functions are found for the 2- dimensional probability distributio…
Extrapolation of Threshold-Limited Null Measurement Frequencies
O. E. Percus, J. K. Percus
The total measurable level of a pathogen is due to many sources, which produce a variety of pulses, overlapping in time, that rise suddenly and then decay. What is measured is the…
The Inverse Simpson Paradox (How To Win Without Overtly Cheating)
Ora E. Percus, Jerome K. Percus
Given two sets of data which lead to a similar statistical conclusion, the Simpson Paradox describes the tactic of combining these two sets and achieving the opposite conclusion. D…