We provide explicit approximation formulas for VIX futures and options in forward variance models, with particular emphasis on the family of so-called Bergomi models: one-factor model, rough an enhanced version model that can generate realistic positive skew smiles–introduced simultaneously by De Marco Guyon at Bachelier World Congress 2018, we refer to as ‘mixed model’. Following methodology s...

The purpose of the work was to evaluate modern methods diagnosis that determined state vegetative fibers, tunnel morphology, and surgical treatment syndrome. There were 30 healthy individuals (control group) 45 patients (16 with compression ulnar nerve in zone cubital canal, 27 carpal canal syndrome median 2 Guyon syndrome). Clinical-roentgenologic methods, electroneuromyography (ENMG), ultraso...

BACKGROUND Normative values for fractional exhaled nitric oxide (FeNO) and the associated co-factors are important in understanding the role of FeNO as a biomarker in airway disease. The objective of this study is to establish reference FeNO values for youth and adult asymptomatic, lifetime nonsmokers in the United States, and to describe the factors affecting these levels. METHODS Cross-sect...

BACKGROUND In this study a new instrument and technique is described for the endoscopic treatment of complete posterior urethral strictures, which may result in serious complications and sometimes require troublesome treatments. METHODS Three patients with complete posterior urethral obstruction were treated endoscopically with the guidance of a new instrument: Evrim Bougie. Evrim Bougie look...

Estimating a joint Highest Posterior Density credible set for multivariate posterior density is challenging as dimension gets larger. Credible intervals univariate marginals are usually presented ease of computation and visualisation. There often two layers approximation, we may need to compute target which itself only an approximation the true density. We obtain sets estimation trees given by ...