An analytic a priori error bound is provided for comparing performance measures of discrete time queues with those of a processor sharing queue for which steady state results can be easily obtained. The error bound is of the same order as the length of the discrete time slot. This bound is applied to derive error bounds for performance measures of a time-sharing queue approximated by a processo...

Three proposed simplex chirality measures—intersection, union, and inflation—are explored experimentally in and . The intersection measure in (solved analytically by Buda and Mislow in 1991) serves as a control case. We attempt to discover an approximate lower-bound on the degree of chirality (i.e. the “most chiral” simplex) and present our findings. While an analytic solution in for these meas...

Stieltjes-type polynomials corresponding to measures supported on the unit circle T are introduced and their asymptotic properties away from T are studied for general classes of measures. As an application, we prove the convergence of an associated sequence of interpolating rational functions to the corresponding Carathéodory function. In turn, this is used to give an estimate of the rate of co...

A big data visualization system is comprised of a diverse set of components. Obvious components include the data set, an analytic acting on the data set, and the visualization of the data set and/or results from the analytic, with one or more of each of these components in the system. The consumer, or user, of the visualization is a less obvious component of this system, but is nonetheless crit...

OBJECTIVE Passive retrospective cohorts composed of persons who have tested 2 or more times for a sexually transmitted infection (STI) of interest during clinical visits have been used to estimate STI incidence. We hypothesized that the analytic period of a passive cohort might affect the estimate of STI incidence, with shorter periods yielding higher estimates of incidences of infection. STU...

Making a diagnosis involves ratifying or verifying a proposed answer. Formalizing this verification process with checklists, which highlight key variables involved in the diagnostic decision, is often advocated. However, the mechanisms by which a checklist might allow clinicians to improve their verification process have not been well studied. We hypothesize that using a checklist to verify dia...