• Title/Summary/Keyword: Continuous autoregressive model

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Bootstrap Confidence Intervals for the INAR(p) Process

  • Kim, Hee-Young;Park, You-Sung
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.343-358
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    • 2006
  • The distributional properties of forecasts in an integer-valued time series model have not been discovered yet mainly because of the complexity arising from the binomial thinning operator. We propose two bootstrap methods to obtain nonparametric prediction intervals for an integer-valued autoregressive model : one accommodates the variation of estimating parameters and the other does not. Contrary to the results of the continuous ARMA model, we show that the latter is better than the former in forecasting the future values of the integer-valued autoregressive model.

The research on daily temperature using continuous AR model (일별 온도의 연속형 자기회귀모형 연구 - 6개 광역시를 중심으로 -)

  • Kim, Ji Young;Jeong, Kiho
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.1
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    • pp.155-167
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    • 2014
  • This study uses a continuous autoregressive (CAR) model to analyze daily average temperature in six Korean metropolitan cities. Data period is Jan. 1, 1954 to Dec. 31, 2010 covering 57 years. Using a relative long time series reveals that the linear time trend components are all statistically significant in the six cities, which was not shown in previous studies. Particularly the plus sign of its coefficient implies the effect on Korea of the global warming. Unit-root test results are that the temperature time series are stationary without unit-root. It turns out that CAR(3) is suitable for stochastic component of the daily temperature. Since developing suitable continuous stochastic model of the underlying weather related variables is crucial in pricing the weather derivatives, the results in this study will likely prove useful in further future studies on pricing weather derivatives.

Studies on the Stochastic Generation of Synthetic Streamflow Sequences(I) -On the Simulation Models of Streamflow- (하천유량의 추계학적 모의발생에 관한 연구(I) -하천유량의 Simulation 모델에 대하여-)

  • 이순탁
    • Water for future
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    • v.7 no.1
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    • pp.71-77
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    • 1974
  • This paper reviews several different single site generation models for further development of a model for generating the Synthetic sequences of streamflow in the continuous streams like main streams in Korea. Initially the historical time series is looked using a time series technique, that is correlograms, to determine whether a lag one Markov model will satisfactorily represent the historical data. The single site models which were examined include an empirical model using the historical probability distribution of the random component, the linear autoregressive model(Markov model, or Thomas-Fiering model) using both logarithms of the data and Matala's log-normal transformation equations, and finally gamma distribution model.

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Application of Hidden Markov Model Using AR Coefficients to Machine Diagnosis (AR계수를 이용한 Hidden Markov Model의 기계상태진단 적용)

  • 이종민;황요하;김승종;송창섭
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.1
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    • pp.48-55
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    • 2003
  • Hidden Markov Model(HMM) has a doubly embedded stochastic process with an underlying stochastic process that can be observed through another set of stochastic processes. This structure of HMM is useful for modeling vector sequence that doesn't look like a stochastic process but has a hidden stochastic process. So, HMM approach has become popular in various areas in last decade. The increasing popularity of HMM is based on two facts : rich mathematical structure and proven accuracy on critical application. In this paper, we applied continuous HMM (CHMM) approach with AR coefficient to detect and predict the chatter of lathe bite and to diagnose the wear of oil Journal bearing using rotor shaft displacement. Our examples show that CHMM approach is very efficient method for machine health monitoring and prediction.

A study on analysis of packet amount of Naver's mobile portal (네이버 무선포털의 패킷량 분석에 관한 연구)

  • Ryu, Gui-Yeol
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.3
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    • pp.701-710
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    • 2016
  • The purpose of this paper is to build a model of packet amount of Naver mobile portal. We collected 2004 cases by measuring the sixth per access from September, 2012 to October, 2015. We use regression model with autoregressive errors, in which predictors incorporated into the model were replication, date, time, week, month. It has been found the model which errors follow AR(36), based on AIC and adjusted $R^2$. We found some characteristics from our model as follows. In addition to model building, we also have discussed some meaningful features yielded from the selected model in this paper. Considering the importance of this topic, continuous researches are needed.

Verification of the longitudinal relationship between mothers' cultural adaptation patterns, multicultural acceptability of multicultural adolescents, and national identity: Focusing on the mediating effect of the autoregressive cross-lagged model (어머니의 문화적응유형과 다문화청소년의 다문화수용성, 국가정체성 간 종단관계 검증: 자기회귀교차지연모형의 매개효과를 중심으로)

  • Lee, Hyoung-Ha;Yun, Jin-Mi;Han, Ji-Yun
    • Journal of Digital Convergence
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    • v.19 no.10
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    • pp.453-467
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    • 2021
  • In this study, the autoregressive cross-lagged model was applied to verify the longitudinal correlation between the three factors and the pattern of changes over time in the mother's cultural adaptation type, the multicultural acceptability of multicultural adolescents, and national identity. For the study, longitudinal data from the 2nd, 4th, 6th, and 8th years of the MAPS tracked from the 5th grade of elementary school to the 2nd grade of high school were used for analysis. As a result of the analysis, all four types of mother's acculturation were analyzed to have a significant longitudinal effect over time. The four types of mothers' cultural adaptation were analyzed to have a longitudinal mediating effect on the relationship between the national identity of multicultural youth. Based on these analysis results, it is necessary to provide a continuous acculturation support program. In order to have a sense of belonging and solidarity with the country, it was suggested that education to increase multicultural receptivity should be carried out in parallel.

Asymptotic distribution of estimator in INAR(1) process with negative binomial marginal (주변분포가 음이항 분포를 따르는 INAR(1)모형에서 추정량의 점근분포)

  • 김희영;박유성
    • The Korean Journal of Applied Statistics
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    • v.9 no.1
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    • pp.111-124
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    • 1996
  • In this paper, we consider the first-order integer valued autoregressive(INAR(1)) model where correlation structure is similar to that of the continuous valued AR(1) process. Several methods for estimating the parameters of the INAR(1) process with negative binomial marginal are discussed. We derive asymptotic distributions of these estimators. The results of a simulation study for these estimators methods show that the estimator which we present in this paper is better than the estimator which Klimko and Nelson(1978) presented. As an application we considered the estimator of M/M/1 queue length.

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A Study on Accuracy Improvement for Range and Velocity Estimates in a FM-CW Radar (FM-CW 레이다에서의 거리 및 속도 추정 정확도 향상에 관한 연구)

  • Lee, Jong-Gil
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.8
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    • pp.1752-1758
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    • 2010
  • A FM-CW radar is used for the various purposes as a remote sensing device since it has the advantages of the relatively simple implementation and the low probability of signal interception. A FM-CW radar uses the same frequency modulated continuous wave for both transmission and demodulation. Therefore, the received beat frequency represents the range and Doppler information of targets. However, using the conventional FFT method, the degree of accuracy and resolution in the spectrum estimation can be seriously degraded in the detection and tracking of fast moving targets because of the short dwell time. Therefore, in this paper, the model parameter estimation methods called as an autoregressive method is applied to overcome these problems and showed that the improved accuracy and resolution can be obtained for the target range and velocity estimation.

A Longitudinal Causal Rrelationship Study on the Elderly's Assets, Depression and Llife Satisfaction: : The Application of Autoregressive Cross-lagged Model (노인의 자산과 우울 및 삶의 만족 간의 종단적 인과관계: 자기회귀교차지연모형의 적용)

  • Lee, Hyoung-Ha
    • Journal of Digital Convergence
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    • v.18 no.6
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    • pp.513-522
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    • 2020
  • The purpose of this study is to analyze the auto-regression effect between the elderly's assets and depression and life satisfaction, and to approach the influence of assets and depression on the elderly's life from a longitudinal perspective. For this purpose, the data for the 9th year (2014), 11th year (2016), and 13th year (2018) of the Korea Welfare Panel were used. As a result of the analysis, First, the assets, depression and life satisfaction of the elderly have a lasting effect on the passage of time, and the assets, depression and life satisfaction of the previous point in time (B=.694, B=.725, p<.001), depression (B=.258, B=.331 and p<.001) and life satisfaction (B=.264, B=.265, p<.001). Second, cross-recursion coefficients show how the relationship between the assets of the elderly and depression and the satisfaction of life affects each other over time, and the assets of the older person at the previous point in time (B=.010, B=.011, p<.001), the assets of the older persons at previous times are subsequently satisfied with their lives (B=.128, B=.124, p<.001). Based on the results of the above analysis, it is necessary to support the elderly's asset management service and education to prevent depression, such as continuous asset utilization education.

Improvement of non-negative matrix factorization-based reverberation suppression for bistatic active sonar (양상태 능동 소나를 위한 비음수 행렬 분해 기반의 잔향 제거 기법의 성능 개선)

  • Lee, Seokjin;Lee, Yongon
    • The Journal of the Acoustical Society of Korea
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    • v.41 no.4
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    • pp.468-479
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    • 2022
  • To detect targets with active sonar system in the underwater environments, the targets are localized by receiving the echoes of the transmitted sounds reflected from the targets. In this case, reverberation from the scatterers is also generated, which prevents detection of the target echo. To detect the target effectively, reverberation suppression techniques such as pre-whitening based on autoregressive model and principal component inversion have been studied, and recently a Non-negative Matrix Factorization (NMF)-based technique has been also devised. The NMF-based reverberation suppression technique shows improved performance compared to the conventional methods, but the geometry of the transducer and receiver and attenuation by distance have not been considered. In this paper, the performance is improved through preprocessing such as the directionality of the receiver, Doppler related thereto, and attenuation for distance, in the case of using a continuous wave with a bistatic sonar. In order to evaluate the performance of the proposed system, simulation with a reverberation model was performed. The results show that the detection probability performance improved by 10 % to 40 % at a low false alarm probability of 1 % relative to the conventional non-negative matrix factorization.