On the Csorgo-Révész increments of finite dimensional Gaussian random fields

In this paper, we establish some limit theorems on the combined Csorgo-Révész increments with moduli of continuity for finite dimensional Gaussian random fields under mild conditions, via estimating upper bounds of large deviation probabilities on suprema of the finite dimensional Gaussian random fields.Csorgo-Révész increment; Gaussian process; random field; modulus of continuity; quasi-increasing; regularly varying function; large deviation probability.

Reliability Verification of the Performance Evaluation of Multiphase Pump

The crude oil in an oil well exists in various phases such as gas, seawater, and sand, as well as oil. Therefore, a phase separator is needed at the front of a single-phase pump for pressurization and transfer. On the other hand, the application of a multiphase pump can provide such advantages as simplification of the equipment structure and cost savings, because there is no need for a phase separation process. Therefore, the crude oil transfer method using a multiphase pump is being applied to recently developed oil wells. Due to this increase in demand, technical demands for the development of multiphase pumps are sharply increasing, but the progress of research into related technologies is insufficient, due to the nature of multiphase pumps that require high levels of skills. This study was conducted to verify the reliability of pump performance evaluation using numerical analysis, which is the basis of the development of a multiphase pump. For this study, a model was designed by selecting the specifications of the pump under study. The performance of the designed model was evaluated through numerical analysis and experiment, and the results of the performance evaluation were compared to verify the reliability of the result using numerical analysis

Developing indicators of pattern identification in patients with stroke using traditional Korean medicine

Abstract Background The traditional Korean medical diagnoses employ pattern identification (PI), a diagnostic system that entails the comprehensive analysis of symptoms and signs. The PI needs to be standardized due to its ambiguity. Therefore, this study was performed to establish standard indicators of the PI for stroke through the traditional Korean medical literature, expert consensus and a clinical field test. Methods We sorted out stroke patterns with an expert committee organized by the Korean Institute of Oriental Medicine. The expert committee composed a document for a standardized pattern of identification for stroke based on the traditional Korean medical literature, and we evaluated the clinical significance of the document through a field test. Results We established five stroke patterns from the traditional Korean medical literature and extracted 117 indicators required for diagnosis. The indicators were evaluated by a field test and verified by the expert committee. Conclusions This study sought to develop indicators of PI based on the traditional Korean medical literature. This process contributed to the standardization of traditional Korean medical diagnoses.</p

Some limit theorems for fractional Lévy Brownian fields

In this paper we establish large increment results and moduli of continuty for a two-parameter fractional Lévy Brownian motion on rectangles in the Euclidean plane via estimating upper bounds of large deviation probabilities on suprema of the two-parameter fractional Lévy Brownian motion.Fractional Lévy Brownian motion Gaussian process Limit superior and limit inferior

Asymptotic properties for partial sum processes of a Gaussian random field

Let be a centered strictly stationary Gaussian random field, where is the d-dimensional lattice of all points in d-dimensional Euclidean space having nonnegative integer coordinates. Put Sn=[summation operator]0[less-than-or-equals, slant]j[less-than-or-equals, slant]n[xi]j for and [sigma]2([short parallel]i-j[short parallel])=E(Si-Sj)2 for i[not equal to]j, where [short parallel]·[short parallel] denotes the Euclidean norm and [sigma](·) is a nondecreasing continuous regularly varying function. Under some additional conditions, we investigate asymptotic properties for increments of partial sum processes of .Stationary Gaussian random field Regularly varying function Large deviation probability

The invariance principle for linear multi-parameter stochastic processes generated by associated fields

We derive the invariance principle for the linear random field generated by identically distributed and associated random fields. Our result extends the result in Bulinski and Keane [Bulinski, A.V., Keane, M.S., 1996. Invariance principle for associated random fields. J. Math. Sci. 81, 2905-2911.] to the linear random field in the identically distributed case as well as the result in Marinucci and Poghosyan [Marinucci, M., Poghosyan, S., 2001. Asymptotics for linear random fields. Probab. Lett. 51, 131-141.] to the associated case.

On superior limits for the increments of Gaussian processes

Let {X(t); t [greater-or-equal, slanted] 0} be a Gaussian process with stationary increments E{X(t + s) - X(t)}2 = [sigma]2(s). Let at(t [greater-or-equal, slanted] 0) be a nondecreasing function of t with 0 [infinity] {(tk+1 - tk)/atk} [infinity] {(tk+1 - tk)/atk} [greater-or-equal, slanted] 1, then we have a value [delta] almost surely, where [delta]=inf{[gamma]>;[summation operator](tk(log(n)tk)/atk)-[gamma]2Wiener process Gaussian process Law of large numbers Law of iterated logarithm Regularly varying function and Borel-Cantelli lemma

Computational identification of cold-specific regulatory genes using a Chinese cabbage microarray

471-480We identified 1,915 candidate genes in Chinese cabbage (Brassica rapa) that are related to cold biosynthesis by comparison of gene expression in spring and winter cultivars of Chinese cabbage during four cold treatment stages by 300K microarray analysis. Using this method, we screened 835 ortholog genes, 87 transcription factors, and 29 pathway genes associated with cold-related biosynthesis. The transcription factor genes were classified into nine groups and genes associated with cold-related pathways were characterized by gene mapping and phylogenetic analysis. Finally, by comparison of pathway network transcription factor, and ortholog genes we identified seven cold-related genes and verified their differential expression using reverse transcription-polymerase chain reaction. These genes may play regulatory roles in cold resistance or metabolism during cold biosynthesis. Although further validation and characterization of these genes is required, our results illustrate the potential usefulness of this screening method using Chinese cabbage microarrays