Background and aims: Burden of HIV and AIDS is considerably different among regions and countries around the world. The aim of this study was to assess the inequality in the prevalence of HIV, according to human development index worldwide. Methods: The desired outcome was prevalence of HIV, which was estimated in 100 countries in 2012. The annual report of Joint United Nations Programme on HIV...

By constructing a coupling with unbounded time-dependent drift, lower bound estimate of dimension-free Harnack inequality power is obtained for large class stochastic differential equation multiplicative noise. The key an application the inverse Hölder inequality. Combining this well-known upper bound, bilateral established. As dual inequality, shift-Harnack inequalities are also investigated a...