Asymptotic distribution of the maximum interpoint distance in a sample of random vectors with a spherically symmetric distribution

Extreme value theory is part and parcel of any study of order statistics in one dimension. Our aim here is to consider such large sample theory for the maximum distance to the origin, and the related maximum "interpoint distance," in multidimensions. We show that for a family of spherically symmetric distributions, these statistics have a Gumbel-type limit, generalizing several existing results. We also discuss the other two types of limit laws and suggest some open problems. This work complements our earlier study on the minimum interpoint distance.Comment: Published at http://dx.doi.org/10.1214/14-AAP1082 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org

The use of Mean Residual Life in testing departures from Esxponentiality.

vita media residua; test di esponenzialità; processo di wiener; processo di quantili

Multiple International Judicial Forums: A Reflection of the Growing Strength of International Law or its Fragmentation?

The main thrust of this presentation is to suggest that the creation of multiple international judicial tribunals is a function of the ever-expanding nature of international law and that the creation of such tribunals is a sign of the growing maturity of international law. While it is admitted that these tribunals have to be sensitive to the needs of promoting the unity and integrity of international law, a brief look at the available evidence of their functioning so far has revealed no cause for concern of fragmentation. The author will look specifically at the working of the International Tribunal for the Law of the Sea, primarily because its creation had elicited some stringent criticism and concern in this respect. The author will also refer to the dispute settlement understanding that governs the World Trade Organization Treaty system and the ad hoc tribunals that are invested with the jurisdiction to try the serious crimes committed during the conflict affecting the former territories of Yugoslavia

Effect of Thermal Radiation, Dissipation and Chemical Reaction on Mixed Convective Heat and Mass Transfer Flow Past a Stretching Sheet with Hall Effects in Slip Flow Regime

The aim of this analysis is to discuss the combined influence of chemical reaction, dissipation  on hydromagnetic mixed convective heat and mass transfer flow of a viscous electrically conducting fluid past a stretching sheet in the presence of non-uniform heat source and Hall effects. The equations governing the flow, heat and mass transfer have been solved numerically by using  Runge-Kutta fourth order technique together with the shooting technique. The velocity, temperature and concentration have been analyzed. The rate of heat and mass transfer on the plate has been evaluated numerically for different parametric variations. Keywords: Hall Currents; Heat & Mass Transfer; Thermal Radiation; Dissipation, Non-Uniform Heat Source; Soret and Dufour effects; Stretching sheet; Chemical reaction.

Non-Darcy Convective Heat and Mass Transfer Flow in a Vertical Channel

We make an attempt to investigate non-Darcy convective heat and Mass transfer flow of a viscous chemically reacting fluid in a vertical channel .The Brinkman Forchheimer extended Darcy equations are used in the governing linear momentum equation, which are solve numerically by using  Galerkin finite element technique. The velocity, temperature, concentration, shear stress and rate of Heat and Mass transfer are evaluated numerically for different variations .It is noticed that the temperature and concentration reduce while the velocity increases in the degenerating chemical reaction ( g>0) while in the generating case(g<0), they reduce in the entire flow region The rate of heat and mass transfer reduce and the skin friction increases on the walls with increase in g>0, while a reversed effect is noticed with  g<0. Keywords: Non-Darcy Flow, Porous Medium, Chemical reaction, Vertical Channe

Development of a dynamic LES model for premixed turbulent flames

In numerical modelling, Large Eddy Simulations (LES) has evolved itself as a powerful tool for the prediction of turbulent premixed flames. In LES, sub-grid scale (SGS) modelling plays a pivotal role in accounting for various SGS effects. Chemical reaction rate in LES turbulent premixed flames is a SGS phenomenon and must be accounted accurately. Flame surface density (FSD) models based on laminar flamelet concepts are simple and efficient in accounting the chemical reaction rate, which is the main motive of this research (...continues

Bacteriological study of discharging ear in patients attending a tertiary care hospital

Ear infections occur in all age groups. Chronic Suppurative Otitis Media (CSOM) is the most common illness in ENT practice. It may even cause hearing impairment especially sensory – neural deafness if not treated properly and with caution. The study was undertaken to know the aerobic microbiological/bacteriological profile of ear discharge and variations in sensitivity pattern to treat the patients efficiently. A total of 71 patients who had discharging ear infection were included in this study. The most common microorganisms isolated were Pseudomonas aeruginosa and Staphylococcus aureus followed by Coagulase-Negative Staphylococci (CoNS), Klebsiella spp, Proteus spp and Escherichia coli. Among the commonly used topical antibiotics, Ciprofloxacin appear to be first line antibiotic (91.52% sensitive) to treat CSOM followed by Gentamycin (89.6% sensitive). However, the action of Chloramphenicol was low (59.53% sensitive). Ofloxacin can be used to treat CSOM due to Staphylococcus aureus other than Ciprofloxacin and Gentamycin