We extend the recent results of R. Lata la and O. Guédon about equivalence of Lq-norms of logconcave random variables (KahaneKhinchin’s inequality) to the quasi-convex case. We construct examples of quasi-convex bodies Kn ⊂ IRn which demonstrate that this equivalence fails for uniformly distributed vector on Kn (recall that the uniformly distributed vector on a convex body is logconcave). Our e...

This article is a retrospective view of the work of George Mackey and its impact on the mathematics of his time and ours. The principal themes of his work–systems of imprimitivity, induced representations, projective representations, Borel cohomology, metaplectic representations, and so on, are examined and shown to have been central in the development of the theory of unitary representations o...

OBJECTIVES To assess the metastasis-free survival (MFS) and disease-specific survival (DSS) in men with Gleason score ≤6 prostate cancer at radical prostatectomy (RP). PATIENTS AND METHODS We included 1101 consecutive RP patients operated between March 1985 to July 2013 at a single institution. The outcome variables were MFS and DSS. The postoperative survival was estimated by the Kaplan-Meie...

The grading of prostate cancer has undergone significant changes since the adoption of the Gleason grading system in the 1970s. Gleason patterns 1 and 2 are no longer in use and the current Gleason score 6 of 10 is the lowest grade possible. Several specific morphologies that were historically considered Gleason grade 3 are currently assigned a Gleason pattern 4. Consequently, current Gleason s...

BACKGROUND Despite significant changes in the clinical and histologic diagnosis of prostate cancer, the Gleason grading system remains one of the most powerful prognostic predictors in prostate cancer. The correct diagnosis and grading of prostate cancer is crucial for a patient's prognosis and therapeutic options. However, this system has undergone significant revisions and continues to have d...

UNLABELLED WHAT'S KNOWN ON THE SUBJECT? AND WHAT DOES THE STUDY ADD?: The Gleason scoring system is a well-established predictor of pathological stage and oncological outcomes for men with prostate cancer. Modifications throughout the last few decades - most recently by the International Society of Urological Pathology (ISUP) in 2005 - have attempted to improve the correlation between biopsy an...

NHTSA has developed and conducted a vehicleto-vehicle crash test program to evaluate the statistical correlation between vehicle performance measures and the probability of driver fatality in a crash partner vehicle. The test program uncovered some concerns regarding NHTSA’s rigid barrier data collection and review methods. The vehicle-tovehicle tests did not provide clear insight into the mech...