scholarly journals Definition of Probability Characteristics of the Absolute Maximum of Non-Gaussian Random Processes by Example of Hoyt Process

Author(s):  
O. V. Chernoyarov
Author(s):  
V. M. Artyushenko ◽  
V. I. Volovach

The questions connected with mathematical modeling of transformation of non-Gaussian random processes, signals and noise in linear and nonlinear systems are considered and analyzed. The mathematical transformation of random processes in linear inertial systems consisting of both series and parallel connected links, as well as positive and negative feedback is analyzed. The mathematical transformation of random processes with polygamous density of probability distribution during their passage through such systems is considered. Nonlinear inertial and non-linear systems are analyzed.


2018 ◽  
Vol 15 (1) ◽  
pp. 84-93
Author(s):  
V. I. Volovach ◽  
V. M. Artyushenko

Reviewed and analyzed the issues linked with the torque and naguszewski cumulant description of random processes. It is shown that if non-Gaussian random processes are given by both instantaneous and cumulative functions, it is assumed that such processes are fully specified. Spectral characteristics of non-Gaussian random processes are considered. It is shown that higher spectral densities exist only for non-Gaussian random processes.


1988 ◽  
Vol 20 (2) ◽  
pp. 275-294 ◽  
Author(s):  
Stamatis Cambanis

A stationary stable random processes goes through an independently distributed random linear filter. It is shown that when the input is Gaussian or harmonizable stable, then the output is also stable provided the filter&s transfer function has non-random gain. In contrast, when the input is a non-Gaussian stable moving average, then the output is stable provided the filter&s randomness is due only to a random global sign and time shift.


Author(s):  
A.S. Gusev ◽  
L.V. Zinchenko ◽  
S.A. Starodubtseva

When designing technical structures, the safety of their elements is a fundamental principle. This highlights the significance of the proposed solution to the structural analysis of the trajectories of non-Gaussian stationary processes. The solution aims to acquire source data for calculating the stress-strength reliability of structural elements operating under random loads. We analyze an approach that makes it possible to account for the statistical dependence between processes and their derivatives, despite the apparent lack of correlation between them. The considered approach can be utilized in the design of vibration protection of transport vehicles to calculate the probability of a shock absorber breakdown, the probability of loss of the road-wheel contact, etc. The operation reliability of such systems is defined as the probability that the absolute maximum of the process does not exceed the specified standard level during a certain time interval. The article presents the reliability calculation using structural analysis on the example of a one-dimensional stochastic system.


2021 ◽  
Vol 4 (1) ◽  
pp. 292-310
Author(s):  
Michael Lewin

Abstract While the term “metaphilosophy” enjoys increasing popularity in Kant scholarship, it is neither clear what distinguishes a metaphilosophical theory from a philosophical one nor to what extent Kant’s philosophy contains metaphilosophical views. In the first part of the article, I will introduce a demarcation criterion and show how scholars fall prey to the fallacy of extension confusing Kant’s philosophical theories with his theories about philosophy. In the second part, I will analyze eight elements for an “imperfect definition” (KrV A731/B759) of philosophy outlining the scope of Kant’s explicit metaphilosophy against the backdrop of recent metaphilosophical research: (i) scientific concept of philosophy, (ii) philosophy as an activity, (iii) worldly concept, (iv) philosophy as a (proper and improper) science, (v) philosophy as an architectonic idea (archetype and ectypes), (vi) philosophy as a social practice and the appropriate holding-to-be-true (one or many true philosophies?), (vii) reason as the absolute condition and subject of philosophy, and (viii) methodology of philosophy. I will put these elements together for an attempt to give an imperfect definition of philosophy – something that Kant promised but never did – in the conclusion.


2018 ◽  
Vol 71 (11) ◽  
pp. 981-988 ◽  
Author(s):  
Marjolein van Zummeren ◽  
Annemiek Leeman ◽  
Wieke W Kremer ◽  
Maaike C G Bleeker ◽  
David Jenkins ◽  
...  

AimsTo investigate the accuracy and reproducibility of a scoring system for cervical intraepithelial neoplasia (CIN1–3) based on immunohistochemical (IHC) biomarkers Ki-67 and p16ink4a.Methods115 cervical tissue specimens were reviewed by three expert gynaecopathologists and graded according to three strategies: (1) CIN grade based on H&E staining only; (2) immunoscore based on the cumulative score of Ki-67 and p16ink4a only (0–6); and (3) CIN grade based on H&E supported by non-objectified IHC 2 weeks after scoring 1 and 2. The majority consensus diagnosis of the CIN grade based on H&E supported by IHC was used as the Reference Standard. The proportion of test positives (accuracy) and the absolute agreements across pathologists (reproducibility) of the three grading strategies within each Reference Standard category were calculated.ResultsWe found that immunoscoring with positivity definition 6 yielded the highest proportion of test positives for Reference Standard CIN3 (95.5%), in combination with the lowest proportion of test positives in samples with CIN1 (1.8%). The proportion of test positives for CIN3 was significantly lower for sole H&E staining (81.8%) or combined H&E and IHC grading (84.8%) with positivity definition ≥CIN3. Immunoscore 6 also yielded high absolute agreements for CIN3 and CIN1, but the absolute agreement was low for CIN2.ConclusionsThe higher accuracy and reproducibility of the immunoscore opens the possibility of a more standardised and reproducible definition of CIN grade than conventional pathology practice, allowing a more accurate comparison of CIN-based management strategies and evaluation of new biomarkers to improve the understanding of progression of precancer from human papillomavirus infection to cancer.


2020 ◽  
Vol 6 (9) ◽  
pp. 45-52
Author(s):  
E Krylova

Erodium tataricum is a herbaceous perennial multi-headed tap-root (caudex) plant. Hemicryptophyte. Endemic. The ontogenetic structure was studied in the shrub-herb-grass petrophytic steppe. Individuals of the species have four periods and ten ontogenetic states. It was revealed that the population is normal with an incomplete spectrum. In accordance with the classification of A. A. Uranova and O. V. Smirnova the population is definitive. According to the criterion of the absolute maximum, the population is young. The ontogenetic spectrum of the population is left-sided. A specific ontogenetic spectrum corresponds to a characteristic ontogenetic spectrum, i.e. biology of the species. According to the ontogenetic spectrum, the development of the population is characterized as sustainable. The peculiarity of Erodium tataricum is that on all aerial parts of the plant there is abundant pubescence, but in the old generative ontogenetic state, pubescence on the leaves decreases. Reproduction of the species is carried out by seed. In the subsenile ontogenetic state, senile particulation is possible.


2013 ◽  
Vol 765-767 ◽  
pp. 431-435
Author(s):  
Hong Sen Xie ◽  
Jin Bo Shi ◽  
Bao Kuan Luan ◽  
Hua Ming Tian ◽  
Peng Zhou

Non-Gaussian probability distribution radar clutter not only is temporal correlated between different pulses, but also is spatial correlated between different range bins. In this paper, the method of simulation and validation of radar clutter is proposed using spherically invariant random processes (SIRP). The amplitude probability function and temporal correlation function of radar clutter can be controlled respectively, and the spatial correlation function can be also specified. The computer simulation of K-distribution and CHI-distribution radar clutter is used to validate the method, and is to validate the amplitude probability function, temporal-spatial 2D correlation function.


Author(s):  
L. Bently ◽  
B. Sherman ◽  
D. Gangjee ◽  
P. Johnson

This chapter examines the ‘absolute’ grounds for refusing to register a trade mark as set out in section 3 of the Trade Marks Act 1994, Article 3 of the Trade Marks Directive, and Article 7 of the European Union Trade Mark Regulation (EUTMR). It first looks at the reasons for denying an application for trade mark registration before analysing the absolute grounds for refusal, which can be grouped into three general categories: whether the sign falls within the statutory definition of a trade mark found in sections 1(1) and 3(1)(a) and (2) of the Trade Marks Act 1994; whether trade marks are non-distinctive, descriptive, and generic; and whether trade marks are contrary to public policy or morality, likely to deceive the public, prohibited by law, or if the application was made in bad faith. Provisions for specially protected emblems are also considered.


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