STUDY ON FATIGUE LIFE IN FREQUENCY DOMAIN FOR BOGIE FRAME by ZHU Tao, XIAO ShouNe, YANG GuangWu, LIU JianShu

“…Firstly,the inverse Fourier transform was used to transform the stochastic process between time domain and frequency domain,and the correctness and feasibility of load history which proposed is verified by comparative analysis. …”
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Internet complex network separation degree analysis based on hops by SU Wei-ji, ZHAO Hai, XU Ye, ZHANG Wen-bo

“…Internet separation degree time sensitivity model （ISDTSM） was created; The model of time series stochastic process of Internet separation degree （MTSSPISD） was created, and then the time evolvement rule of Internet separation degree was discussed; At last, the Internet separation and average transmission time of IP level data during 2008 Beijing Olympic Game were forecast by using model ISDTSM and model MTSSPISD.…”
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Evaluation Formulas for Generalized Conditional Wiener Integrals with Drift on a Function Space by Dong Hyun Cho

“…Let C[0,t] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0,t] and define a stochastic process Y:C[0,t]×[0,t]→ℝ by Y(x,s)=∫0s‍h(u)dx(u)+a(s) for x∈C[0,t] and s∈[0,t], where h∈L2[0,t] with h≠0 a.e. and a is continuous on [0,t]. …”
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Markov Switching Model Analysis of Implied Volatility for Market Indexes with Applications to S&P 500 and DAX by Luca Di Persio, Samuele Vettori

“…In particular the volatility parameter is treated as an unobserved state variable whose value in time is given as the outcome of an unobserved, discrete-time and discrete-state, stochastic process represented by a suitable Markov chain. …”
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A Statistical Channel Model for Stochastic Antenna Inclination Angles by Gang Liu, Ming Zhang, Yaming Bo

“…The actions of a person holding a mobile device are not a static state but can be considered as a stochastic process since users can change the way they hold the device very frequently in a short time. …”
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Gene function revealed at the moment of stochastic gene silencing by Shreyan Gupta, James J. Cai

“…Abstract Gene expression is a dynamic and stochastic process characterized by transcriptional bursting followed by periods of silence. …”
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Analogues of Conditional Wiener Integrals with Drift and Initial Distribution on a Function Space by Dong Hyun Cho

“…Let C[0,T] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0,T], and define a stochastic process Z:C[0,T]×[0,T]→R by Z(x,t)=∫0t‍h(u)dx(u)+x(0)+a(t), for x∈C[0,T] and t∈[0,T], where h∈L2[0,T] with h≠0 a.e. and a is a continuous function on [0,T]. …”
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Analysis of Exchange Rates as Time-Inhomogeneous Markov Chain with Finite States by Felix O. Mettle, Lydia Pomaa Boateng, Enoch N. B. Quaye, Emmanuel Kojo Aidoo, Issah Seidu

“…Based on the assumption that, for each point in time in the future, a stochastic process will be subjected to a randomly selected transition matrix from an ergodic set of transition matrices the process was subjected to in the recent past, a methodology was proposed for analysing the long-run behaviours of time-inhomogeneous Markov chains. …”
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Discounted-likelihood valuation of variance and volatility swaps by Napat Rujeerapaiboon, Sanae Rujivan, Hongdan Chen

“…The proposed framework embraces a worst-case perspective while exploiting the underlier’s stochastic process, representing a combination of robust optimization and stochastic programming. …”
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High-resolution fleezers reveal duplex opening and stepwise assembly by an oligomer of the DEAD-box helicase Ded1p by Eric M. Patrick, Rajeev Yadav, Kasun Senanayake, Kyle Cotter, Andrea A. Putnam, Eckhard Jankowsky, Matthew J. Comstock

“…Using high-resolution optical tweezers and fluorescence, we reveal a highly dynamic and stochastic process of multiple Ded1p protomers assembling on and unwinding an RNA duplex. …”
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Multiobjective Optimization Approach for Robust Bridge Damage Identification against Sensor Noise by Seung-Yong Ok, Sungmoon Jung, Junho Song

“…A major finding from this study is that the stochastic process of Pareto optimal solutions obtained in a single run not only captures the actual damage locations successfully but also provides useful information such as damage-detected ratio on the potential candidates for damage to be inspected on site. …”
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Travel Time Variability and Spatio-Temporal Analysis of Urban Streets Using Global Positioning System: A Review by Zainab Ahmed Alkaissi, Ruba Yousif Hussain

“… Travel Time estimation is largely caused by the stochastic process of arrivals and departures of vehicles and its reliability measurements considering important issues for improving operational efficiency and safety for traffic road networks. …”
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Evaluation of Wind-Induced Response Bounds of High-Rise Buildings Based on a Nonrandom Interval Analysis Method by Xianglei Wei, An Xu, Ruohong Zhao

“…The traditional wind-induced response analysis of high-rise buildings conventionally considers the wind load as a stationary stochastic process. That is, for a certain wind direction angle, the reference wind speed (usually refers to the mean wind speed at the building height) is assumed to be a constant corresponding to a certain return period. …”
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Inference of a Susceptible–Infectious stochastic model by Giuseppina Albano, Virginia Giorno, Francisco Torres-Ruiz

“…Such a model was well suited to describe some classes of micro-parasitic infections in which individuals never acquired lasting immunity and over the course of the epidemic everyone eventually became infected. The stochastic process related to the deterministic model was transformable into a nonhomogeneous Wiener process so the probability distribution could be obtained. …”
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Quantitative Diagnosis of Rotor Vibration Fault Using Process Power Spectrum Entropy and Support Vector Machine Method by Cheng-Wei Fei, Guang-Chen Bai, Wen-Zhong Tang, Shuang Ma

“…To improve the diagnosis capacity of rotor vibration fault in stochastic process, an effective fault diagnosis method (named Process Power Spectrum Entropy (PPSE) and Support Vector Machine (SVM) (PPSE-SVM, for short) method) was proposed. …”
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Part A: Innovative Data Augmentation Approach to Enhance Machine Learning Efficiency—Case Study for Hydrodynamic Purposes by Hamed Majidiyan, Hossein Enshaei, Damon Howe, Eric Gubesch

“…The application of the proposed approach extends beyond and can be further applied to any stochastic process, which expands the ML application for realistic use cases.…”
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Systematic Search for Long-term Trends in Fermi-LAT Jetted Active Galactic Nuclei by P. Peñil, A. Domínguez, S. Buson, M. Ajello, S. Adhikari, A. Rico

“…Traditionally, this variability can often be modeled well as a stochastic process. However, in certain cases, jetted AGN variability displays regular patterns, enabling us to conduct investigations aimed at understanding its origins. …”
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Modeling of Blood Flow Dynamics in Rat Somatosensory Cortex by Stéphanie Battini, Nicola Cantarutti, Christos Kotsalos, Yann Roussel, Alessandro Cattabiani, Alexis Arnaudon, Cyrille Favreau, Stefano Antonel, Henry Markram, Daniel Keller

“…We developed a framework with three key components: coupling between the vasculature and synthesized astrocytic morphologies, a fluid dynamics model to compute flow in each vascular segment, and a stochastic process replicating the effect of astrocytic endfeet on vessel radii. …”
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Specificity and tunability of efflux pumps: A new role for the proton gradient? by Matthew Gerry, Duncan Kirby, Boian S Alexandrov, Dvira Segal, Anton Zilman

“…We developed a set of mathematical models describing operation of efflux pumps as a discrete cyclic stochastic process across a network of states characterizing pump conformations and the presence/absence of bound ligands and protons. …”
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Marked point process variational autoencoder with applications to unsorted spiking activities. by Ryohei Shibue, Tomoharu Iwata

“…The marked point process is a stochastic process that generates a sequence of events with marks. …”
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