We define a statistic, called weight, on involutions and consider two applications in which this statistic arises. Let I (n)denote the set of all involutions on [n](= {1, 2, . . . , n}) and let F(2n)denote the set of all fixed point free involutions on [2n]. For an involution δ, let |δ| denote the number of 2-cycles in δ. Let [n]q = 1+q+· · ·+qn−1 and let (k)q denote the q-binomial coefficient....

Student's t-statistic is a data-based linear transformation of an average. This paper proposes an extension i) to more general estimates including m.l.e.'s and M-estimates, and ii) to nonlinear transformations, so that the variance of the estimate is approximately constant. The expansion of the statistic and its properties are derived using basic procedures for the symbolic computation of asymp...

BACKGROUND South Africa contains more than one in seven of the world's HIV-positive population. Knowledge of local variation in levels of HIV infection is important for prioritization of areas for intervention. We apply two spatial analytical techniques to investigate the micro-geographical patterns and clustering of HIV infections in a high prevalence, rural population in KwaZulu-Natal, South ...

Integrity is the ability of Global Navigation Satellite Systems (GNSS) to detect faults in measurements and provide timely warnings to users and operators when the navigation system cannot meet the defined performance standards, which is of great importance for safety of life critical applications. Compared with both Receiver Autonomous Integrity Monitoring (RAIM) and ground based GNSS Integrit...

In these days, geo-spatial technologies, as components in geo-web, according to extension of web 2.0 or more paradigms are diversified and emerged: software as a service, asynchronous particle update, mashup, open sources, rich user experiences, collaborate tagging, and structured information. These are closely related and linked to each other, so as to design and implementation stages for a gi...

To meet the need of various administrative operations such as estate infrastructure planning and management, allotment and regulation of the industrial plots, establishing new estates at various locations, Geo Spatial Technology is the key solution. Geo spatial technology covers spatial dimension which facilitates to visualize outlook of industrial estates at dynamic geographical scale. The int...