• Title/Summary/Keyword: Stationary State Distribution

Search Result 47, Processing Time 0.024 seconds

Comparative analysis of the wind characteristics of three landfall typhoons based on stationary and nonstationary wind models

  • Quan, Yong;Fu, Guo Qiang;Huang, Zi Feng;Gu, Ming
    • Wind and Structures
    • /
    • v.31 no.3
    • /
    • pp.269-285
    • /
    • 2020
  • The statistical characteristics of typhoon wind speed records tend to have a considerable time-varying trend; thus, the stationary wind model may not be appropriate to estimate the wind characteristics of typhoon events. Several nonstationary wind speed models have been proposed by pioneers to characterize wind characteristics more accurately, but comparative studies on the applicability of the different wind models are still lacking. In this study, three landfall typhoons, Ampil, Jongdari, and Rumbia, recorded by ultrasonic anemometers atop the Shanghai World Financial Center (SWFC), are used for the comparative analysis of stationary and nonstationary wind characteristics. The time-varying mean is extracted with the discrete wavelet transform (DWT) method, and the time-varying standard deviation is calculated by the autoregressive moving average generalized autoregressive conditional heteroscedasticity (ARMA-GARCH) model. After extracting the time-varying trend, the longitudinal wind characteristics, e.g., the probability distribution, power spectral density (PSD), turbulence integral scale, turbulence intensity, gust factor, and peak factor, are comparatively analyzed based on the stationary wind speed model, time-varying mean wind speed model and time-varying standard deviation wind speed model. The comparative analysis of the different wind models emphasizes the significance of the nonstationary considerations in typhoon events. The time-varying standard deviation model can better identify the similarities among the different typhoons and appropriately describe the nonstationary wind characteristics of the typhoons.

Exact Asymptotics in a Multi-class M/G/1 Queue

  • Lee, Ji-Yeon;Dabrowski, Andre;McDonald, David R.
    • 한국데이터정보과학회:학술대회논문집
    • /
    • 2006.04a
    • /
    • pp.43-47
    • /
    • 2006
  • Consider a multitype queue where queued customers arc served in their order of arrival at a rate which depends on the customer type. Here we calculate the sharp asymptotics of the probability the total number of customers in the queue reaches a high level before emptying. The natural state space to describe this queue is a tree whose branches increase in length as the number of customers in the queue grows. Consequently it is difficult to prove a large deviation principle. Moreover, since service rates depend on the customer type the stationary distribution is not of product form so there is no simple expression for the stationary distribution. Instead, we use a change of measure technique which increases the arrival rate of customers and decreases the departure rate thus making large deviations common.

  • PDF

Expression of c-jun by X-ray According to Cell Growth State in CaSki Cell Line (CaSki 세포주에서 성장 상태에 따른 X-선에 의한 c-jun의 발현)

  • Jang, Seong-Sun;Park, Woo-Yoon
    • Radiation Oncology Journal
    • /
    • v.17 no.3
    • /
    • pp.223-229
    • /
    • 1999
  • Purpose : The expression pattern of c-jun by ionizing radiation according to cell growth state (exponential growth vs. stationary phase) and its relationship with cell cycle redistribution were investigated. Materials and Methods : The exponential growth phase (day 4) and stationary phase (day 9) cells were determined from cell growth curve according to the elapse of days in CaSki. The cells were irradiated using 6 MV X-ray with a dose of 2 Gy at a fixed dose rate of 3 Gy/min. Northern blot analysis was peformed with total cellular RNA and cell cycle distribution was analyzed using flow cytometry according to time-course after irradiation. Results : The maximum expression of c-jun occurred 1 hour after irradiation in both exponential growth and stationary phase cells. After then c-jun expression was elevated upto 6 hours in exponential growth phase cells, but the level decreased in stationary phase cells. Movements of cells from G0-G1 to S, G2-M phase after irradiation were higher in exponential growth phase than stationary phase. Conclusion : c-jun may be involved in the regulation of cellular proliferation according to the growth states after irradiation.

  • PDF

SOME LIMIT THEOREMS FOR POSITIVE RECURRENT AGE-DEPENDENT BRANCHING PROCESSES

  • Kang, Hye-Jeong
    • Journal of the Korean Mathematical Society
    • /
    • v.38 no.1
    • /
    • pp.25-35
    • /
    • 2001
  • In this paper we consider an age dependent branching process whose particles move according to a Markov process with continuous state space. The Markov process is assumed to the stationary with independent increments and positive recurrent. We find some sufficient conditions for he Markov motion process such that the empirical distribution of the positions converges to the limiting distribution of the motion process.

  • PDF

An Hourly Extreme Data Estimation Method Developed Using Nonstationary Bayesian Beta Distribution (비정상성 Bayesian Beta 분포를 이용한 시 단위 극치자료 추정기법 개발)

  • Kim, Yong-Tak;Kim, Jin-Young;Lee, Jae Chul;Kwon, Hyun-Han
    • Journal of Korean Society on Water Environment
    • /
    • v.33 no.3
    • /
    • pp.256-272
    • /
    • 2017
  • Extreme rainfall has become more frequent over the Korean peninsula in recent years, causing serious damages. In a changing climate, traditional approaches based on historical records of rainfall and on the stationary assumption can be inadequate and lead to overestimate (or underestimate) the design rainfalls. A main objective of this study is to develop a stochastic disaggregation method of seasonal rainfall to hourly extreme rainfall, and offer a way to derive the nonstationary IDF curves. In this study, we propose a novel approach based on a Four-Parameter Beta (4P-beta) distribution to estimate the nonstationary IDF curves conditioned on the observed (or simulated) seasonal rainfall, which becomes the time-varying upper bound of the 4P beta distribution. Moreover, this study employed a Bayesian framework that provides a better way to take into account the uncertainty in the model parameters. The proposed model showed a comparable design rainfall to that of GEV distribution under the stationary assumption. As a nonstationary rainfall frequency model, the proposed model can effectively translate the seasonal variation into the sub-daily extreme rainfall.

Further Properties of a Model for a System Subject to Continuous Wear

  • Lee, Eui-Yong;Laurence A. Baxter
    • Journal of the Korean Statistical Society
    • /
    • v.20 no.2
    • /
    • pp.139-146
    • /
    • 1991
  • A generalization of an earlier diffusion model for system subject to continuous wear is presented. It is assumed that the state of the system is modelled by Brownian motion with negative drift and an absorbing barrier at the origin. A repairman arrives according to a stationary renewal process and increases the state of the system by a random amount if the state does not exceed a threshold. Various properties of this model are investigated including the distribution of the state of the system at time t, the first passage time to state 0 and the probability that the state of the system exceeds a certain level throughout a specified interval.

  • PDF

Analysis of the Respiratory Motion Effects on Dose Distribution Using TLD Phantom (열형광선량계용 팬톰을 이용한 호흡 움직임에 따른 선량분포의 평가)

  • Hong, Ju-Young;Kim, Yon-Lae;Rah, Jeong-Eun;Chung, Jin-Beom;Suh, Tae-Suk
    • Progress in Medical Physics
    • /
    • v.17 no.4
    • /
    • pp.187-191
    • /
    • 2006
  • The purpose of this study was to measure the dose distribution from the moving phantom for the respiratory motion. The phantom for TLD measurement was designed and built for this study based on the multiple plates for placing TLD and film. The TLDs may be inserted at 3 mm intervals in each TLD plate. For the measurements, TLD plate was inserted into the phantom at 1.5 cm ($d_{max}$) depth, and phantom was allowed to move in SI directions in the range of 1 to 2 cm with 0.5 cm interval for 6 MV X-ray beams. Penumbra and FWHM were measured at both moving state and compared stationary. It was found that penumbra increased 0.71 cm at stationary and 2.10 cm at moving state in 2 cm movement, and that FWHM are 7.52 cm for stationary state and 7.02 cm for moving state (2 cm movement). In this study, film was used to compared with TLD results of measurements and simitar results were observed. Therefore, it is expected that TLD moving phantom may be useful for the treatment of tumors that move due to the respiratory motion.

  • PDF

Unbalanced Power Sharing for Islanded Droop-Controlled Microgrids

  • Jia, Yaoqin;Li, Daoyang;Chen, Zhen
    • Journal of Power Electronics
    • /
    • v.19 no.1
    • /
    • pp.234-243
    • /
    • 2019
  • Studying the control strategy of a microgrid under the load unbalanced state helps to improve the stability of the system. The magnitude of the power fluctuation, which occurs between the power supply and the load, is generated in a microgrid under the load unbalanced state is called negative sequence reactive power $Q^-$. Traditional power distribution methods such as P-f, Q-E droop control can only distribute power with positive sequence current information. However, they have no effect on $Q^-$ with negative sequence current information. In this paper, a stationary-frame control method for power sharing and voltage unbalance compensation in islanded microgrids is proposed. This method is based on the proper output impedance control of distributed generation unit (DG unit) interface converters. The control system of a DG unit mainly consists of an active-power-frequency and reactive-power-voltage droop controller, an output impedance controller, and voltage and current controllers. The proposed method allows for the sharing of imbalance current among the DG unit and it can compensate voltage unbalance at the same time. The design approach of the control system is discussed in detail. Simulation and experimental results are presented. These results demonstrate that the proposed method is effective in the compensation of voltage unbalance and the power distribution.

Social Pedestrian Group Detection Based on Spatiotemporal-oriented Energy for Crowd Video Understanding

  • Huang, Shaonian;Huang, Dongjun;Khuhroa, Mansoor Ahmed
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.12 no.8
    • /
    • pp.3769-3789
    • /
    • 2018
  • Social pedestrian groups are the basic elements that constitute a crowd; therefore, detection of such groups is scientifically important for modeling social behavior, as well as practically useful for crowd video understanding. A social group refers to a cluster of members who tend to keep similar motion state for a sustained period of time. One of the main challenges of social group detection arises from the complex dynamic variations of crowd patterns. Therefore, most works model dynamic groups to analysis the crowd behavior, ignoring the existence of stationary groups in crowd scene. However, in this paper, we propose a novel unified framework for detecting social pedestrian groups in crowd videos, including dynamic and stationary pedestrian groups, based on spatiotemporal-oriented energy measurements. Dynamic pedestrian groups are hierarchically clustered based on energy flow similarities and trajectory motion correlations between the atomic groups extracted from principal spatiotemporal-oriented energies. Furthermore, the probability distribution of static spatiotemporal-oriented energies is modeled to detect stationary pedestrian groups. Extensive experiments on challenging datasets demonstrate that our method can achieve superior results for social pedestrian group detection and crowd video classification.

A Recursive Procedure for the Queue Length Distribution of a Coxian Queueing Network (회귀적 방법을 이용한 Coxian 대기 네트워크의 대기길이 분포 계산)

  • Park, Doo-Yeong
    • The Journal of Engineering Research
    • /
    • v.3 no.1
    • /
    • pp.85-95
    • /
    • 1998
  • In this study, we consider a recursive procedure to obtain the stationary probability distribution for analyzing Coxian queueing networks with finite queues. This network deals with multiple class customers. Due to the state space representing multiple class customers, the sub-matrices corresponding to states can not be square matrices and can not be inverted. Therefore, we introduce more complex recursive method to avoid the singular problem. The open queueing network that we study consists of 3 parallel first-level sources linked to a single second level queue. We consider two types of schemes for entering a queue. The first scheme is assumed to be the first-blocked-first-enter (FBFE) and the second scheme is the higher-priority-first-enter (HPFE). Arrival and service times are assume to have a Coxian distribution with two phases. Comparison between the resulting using Gauss-Seidel method and recursive procedure will be shown.

  • PDF