We consider a two dimensional skip-free reflecting random walk on a nonnegative integer quadrant. We are interested in the tail asymptotics of its stationary distribution, provided its existence is assumed. We derive exact tail asymptotics for the stationary probabilities on the coordinate axis. This refines the asymptotic results in the literature, and completely solves the tail asymptotic pro...

A method of moment inequalities is used to derive the principle of minimum growth rate in multiplicatively interacting stochastic processes(MISPs). When a value of a power-law exponent at the tail of probability distribution function exists in a range 0 < s ≤ 1, a first-order moment diverges and an equality for a growth rate of systems breaks down. From the estimate of inequalities, we newly fi...

Chromium is a widespread industrial waste. The soluble hexavalent chromium Cr (VI) is an environmental contaminant widely recognized to act as a carcinogen, mutagen and teratogen towards humans and animals. The fate of chromium in the environment is dependent on its oxidation state. Hexavalent chromium primarily enters the cells and undergoes metabolic reduction to trivalent chromium, resulting...

A DLM-based aerodynamic simulator for flutter is used to identify some of the most important aerodynamic drivers for the T-Tail flutter mechanism of a complete aircraft. The simulator is using the Modal Descrambling Factoring Method, which permits individual variations of each direct and each interference aerodynamic force, moment and hinge moment independently of any other force or moment. The...

Coal mining is one of the most important causes of environmental pollution, as large quantities of coal dust particles are emitted. Colombia-South America has large natural coal reserves and "El Cerrejón" is the world's largest open-cast mine located in the northern department of Guajira. The aim of the present study was to evaluate genotoxic effects in a population exposed to coal residues fro...

Exponential bounds and tail estimates are derived for additive random recursive sequences, which typically arise as functionals of recursive structures, of random trees or in recursive algorithms. In particular they arise as parameters of divide and conquer type algorithms. We derive tail bounds from estimates of the Laplace transforms and of the moment sequences. For the proof we use some clas...

We provide a generalisation of Pinelis’ Rademacher-Gaussian tail comparison to complex coefficients. also establish uniform bounds on the probability that magnitude weighted sums independent random vectors Euclidean spheres with matrix coefficients exceeds its second moment.

Atmospheric benzene, toluene, ethylbenzene, and xylenes (BTEX) can lead to multiple health injuries. However, what remains uncertain is the effect of long-term exposure to low levels of BTEX. Thus, we determined the BTEX levels in the air from the refueling and office areas in gas stations. Then we collected workers' (200 refueling vs. 52 office workers) peripheral blood samples to analyze the ...

The use of mesenchymal stem cells (MSCs) in experimental, clinical, and therapeutic trials has grown in recent years. However, the issue remains of whether these procedures are completely safe for transplant patients. Therefore, this study was designed and carried out with the aim of evaluating two different comet assay protocols for genomic damage pattern analysis in MSCs derived from adipose ...

The First-Come First-Served (FCFS) scheduling policy is the most popular algorithm used in practice. Furthermore, its usage theoretically validated: for light-tailed job size distributions, FCFS has weakly optimal asymptotic tail of response time. But what if we don't just care about tail? What also 99th percentile time, or fraction jobs that complete under one second? Is still best? Outside re...