We consider a two-dimensional semimartingale reflecting Brownian motion (SRBM) in the nonnegative quadrant. The data of the SRBM consists of a two-dimensional drift vector, a 2 × 2 positive definite covariance matrix, and a 2 × 2 reflection matrix. Assuming the SRBM is positive recurrent, we are interested in tail asymptotic of its marginal stationary distribution along each direction in the qu...

It is known that Heston’s stochastic volatility model exhibits moment explosion, and that the critical moment s+ can be obtained by solving (numerically) a simple equation. This yields a leading order expansion for the implied volatility at large strikes: σBS(k, T ) T ∼ Ψ(s+ − 1) × k (Roger Lee’s moment formula). Motivated by recent “tail-wing” refinements of this moment formula, we first deriv...

Objective:  To evaluate genotoxicity of zinc oxide, P. A. calcium hydroxide, mineral trioxide aggregate and an iodoform paste using comet assay on human lymphocytes.  Material Methods:  Two positive controls were used: methyl-methanesulfonate for the P.A. hydroxide aggregate; doxorubicin oxide. There also two negative controls: distilled water DMSO Comets identified fluorescence microscopy 100 ...

L-functionals summarize numerous statistical parameters and actuarial risk measures. Their sample estimators are linear combinations of order statistics L-statistics . There exists a class of heavy-tailed distributions for which the asymptotic normality of these estimators cannot be obtained by classical results. In this paper we propose, by means of extreme value theory, alternative estimators...

We consider weighted graphs satisfying sub-Gaussian estimate for the natural random walk. On such graphs, we study symmetric Markov chains with heavy tailed jumps. We establish a threshold behavior of such Markov chains when the index governing the tail heaviness (or jump index) equals the escape time exponent (or walk dimension) of the sub-Gaussian estimate. In a certain sense, this generalize...

Caspian trout (Salmo trutta caspius Kessler, 1877) is an endemic migratory subspecies in the Caspian Sea, possessing ecologic-economic and biodiversity greatly value. Among habitat factors, temperature and its possible effects on the Caspian trout genome were considered in this research. During Embryonic developmental stages (fertilization–hatching), genomic alterations of single cells were ass...

Ziziphus jujuba Mill (ZJ), which has been extensively used by the Iranian traditional healers, belongs to the Ramnaceae family. This semitropical herb contains large quantities of polyphenols and flavonoids, which in turn reveal antioxidant, antibacterial, free radical scavengering, and several other pharmacological activities. The purpose of the present study was to evaluate the DNA damage pre...

A review of the literature published on the genotoxicity of soil is presented in this report. Subheadings of the report include outlines of genotoxicity assays that have been used to examine the soil samples and methods commonly used to prepare soil samples for genotoxicity assay, and a review of the genotoxicity of soil. Soil has been grouped according to potential sources of pollution, e.g. i...

Variation in the detection, signaling, and repair of DNA damage contributes to human cancer risk. To assess capacity to modulate endogenous DNA damage among radiologic technologists who had been diagnosed with breast cancer and another malignancy (breast-other, n=42), early-onset breast cancer (early-onset, age <or=35; n=38), thyroid cancer (n=68), long-lived cancer-free individuals (hyper-norm...