p-process chaser detector in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e468" altimg="si177.svg"><mml:mi>n</mml:mi></mml:math> - <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e473" altimg="si87.svg"><mml:mi>γ</mml:mi></mml:math> coincidences

Remodified Bessel Functions via Coincidences and Near Coincidences

By considering a particular probabilistic scenario associated with coincidences, we are led to a family of functions akin to the modified Bessel function of the first kind. These are in turn solutions to a certain family of linear differential equations possessing structural similarities to the modified Bessel differential equation. The Stirling number triangle of the second kind arises quite n...

Approximations for Performance of Energy Detector and p-Norm Detector

Although the approximations based on the central limit theorem (CLT) for the detection probability (Pd) of the energy detector and of its more generalized cousin, the p-norm detector, are accurate for large sample sizes, their accuracy is poor otherwise. A recent work has addressed this problem by developing a cube-of-Gaussian approximation (CGA). However, CGA may not be the only option and thu...

DATA - CHASER : A Demonstration of AdvancedMission Operations

|DATA-CHASER consists of two synergetic projects, DATA and CHASER, which ew together as a Hitchhiker payload aboard the Space Shuttle Discovery in August of 1997. CHASER (Colorado Hitchhiker And Student Experiment of solar Radiation) is a solar science experiment used to test the primary DATA pay-load. A technology experiment, DATA (Distribution and Automation Technology Advancement) seeks to a...

Causes , Coincidences , and Theories

Sequences , Patterns and Coincidences

This article provides a contemporary exposition at a moderately quantitative level of the distribution theory associated with sequences and patterns in iid multinomial trials, the birthday problem, and the matching problem. The section on patterns includes the classic distribution theory for waiting time for runs and more general patterns, and their means and moments. It also includes the centr...