• Title/Summary/Keyword: Bayesian estimation

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Estimation of Dynamic Effects of Price Increase on Sales Using Bayesian Hierarchical Model (베이지안 다계층모형을 이용한 가격인상에 따른 판매량의 동적변화 추정 및 예측)

  • Jeon, Deok-Bin;Park, Seong-Ho
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.798-805
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    • 2005
  • Estimating the effects of price increase on a company's sales is important task faced by managers. If consumer has prior information on price increase or expect it, there would be stockpiling and subsequent drops in sales. In addition, consumer can suppress demand in the short run. Above factors make the sales dynamic and unstable. We develop a time series model to evaluate the sales patterns with stockpiling and short term suppression of demand and also propose a forecasting procedure. For estimation, we use panel data and extend the model to Bayesian hierarchical structure. By borrowing strength across cross-sectional units, this estimation scheme gives more robust and reasonable result than one from the individual estimation. Furthermore, the proposed scheme yields improved predictive power in the forecasting of hold-out sample periods.

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Underwater Acoustic Source Localization based on the Probabilistic Estimation of Direction Angle (확률적 방향각 추정에 기반한 수중 음원의 위치 인식 기법)

  • Choi, Jinwoo;Choi, Hyun-Taek
    • The Journal of Korea Robotics Society
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    • v.9 no.4
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    • pp.206-215
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    • 2014
  • Acoustic signal is crucial for the autonomous navigation of underwater vehicles. For this purpose, this paper presents a method of acoustic source localization. The proposed method is based on the probabilistic estimation of time delay of acoustic signals received by two hydrophones. Using Bayesian update process, the proposed method can provide reliable estimation of direction angle of the acoustic source. The acquired direction information is used to estimate the location of the acoustic source. By accumulating direction information from various vehicle locations, the acoustic source localization is achieved using extended Kalman filter. The proposed method can provide a reliable estimation of the direction and location of the acoustic source, even under for a noisy acoustic signal. Experimental results demonstrate the performance of the proposed acoustic source localization method in a real sea environment.

Estimation and Forecasting of Dynamic Effects of Price Increase on Sales Using Panel Data (패널자료를 이용한 가격인상에 따른 판매량의 동적변화 추정 및 예측)

  • Park Sung-Ho;Jun Duk-Bin
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.2
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    • pp.157-167
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    • 2006
  • Estimating the effects of price increase on a company's sales is important task faced by managers. If consumer has prior information on price increase or expects it, there would be stockpiling and subsequent drops in sales. In addition, consumer can suppress demand in the short run. These factors make the sales dynamic and unstable. In this paper we develop a time series model to evaluate the sales patterns with stockpiling and short-term suppression of demand and also propose a forecasting procedure. For estimation, we use panel data and extend the model to Bayesian hierarchical structure. By borrowing strength across cross-sectional units, this estimation scheme gives more robust and reasonable result than one from the individual estimation. Furthermore, the proposed scheme yields improved predictive power in the forecasting of hold-out sample periods.

Estimation and Application of Binomial Confidence Interval for Nonconforming Proportions (부적합품률의 이항 신뢰구간 추정 및 응용)

  • Choi, Sung-Woon;Lee, Chang-Ho
    • Journal of the Korea Safety Management & Science
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    • v.9 no.4
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    • pp.143-147
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    • 2007
  • This paper presents various interval estimation methods of binomial proportion for small n in multi-product small volume production and extremely small ^P like PPM or PPB fraction of defectives. This study classifies interval estimation of binomial proportion into three categories such as exact, approximate, Bayesian methods. These confidence intervals proposed in this paper can be applied to attribute process capability and attribute acceptance sampling plan for PPM or PPB.

SIMPLE RANKED SAMPLING SCHEME: MODIFICATION AND APPLICATION IN THE THEORY OF ESTIMATION OF ERLANG DISTRIBUTION

  • RAFIA GULZAR;IRSA SAJJAD;M. YOUNUS BHAT;SHAKEEL UL REHMAN
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.449-468
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    • 2023
  • This paper deals in the study of the estimation of the parameters of Erlang distribution based on rank set sampling and some of its modifications. Here we considered Maximum Likelihood (ML) and the Bayesian technique to estimate the shape and scale parameter of Erlang distribution based on RSS and its some modifications such as ERSS, MRSS, and MRSSu. The derivation for unknown parameters of Erlang distribution is well presented using normal approximation to the asymptotic distribution of ML estimators. But due to the complexity involves in the integral, the Bayes estimator of unknown parameters is obtained using MCMC method. Further, we compared the MSE of estimation in different sampling schemes with different set sizes and cycle size. A real-life data application is also given to illustrate the efficiency of the proposed scheme.

Analysis of Structural Reliability under Model and Statistical Uncertainties: a Bayesian Approach

  • Kiureghian, Armen-Der
    • Computational Structural Engineering : An International Journal
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    • v.1 no.2
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    • pp.81-87
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    • 2001
  • A framework for reliability analysis of structural components and systems under conditions of statistical and model uncertainty is presented. The Bayesian parameter estimation method is used to derive the posterior distribution of model parameters reflecting epistemic uncertainties. Point, predictive and bound estimates of reliability accounting for parameter uncertainties are derived. The bounds estimates explicitly reflect the effect of epistemic uncertainties on the reliability measure. These developments are enhance-ments of second-moment uncertainty analysis methods developed by A. H-S. Ang and others three decades ago.

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ON BAYESIAN ESTIMATION AND PROPERTIES OF THE MARGINAL DISTRIBUTION OF A TRUNCATED BIVARIATE t-DISTRIBUTION

  • KIM HEA-JUNG;KIM Ju SUNG
    • Journal of the Korean Statistical Society
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    • v.34 no.3
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    • pp.245-261
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    • 2005
  • The marginal distribution of X is considered when (X, Y) has a truncated bivariate t-distribution. This paper mainly focuses on the marginal nontruncated distribution of X where Y is truncated below at its mean and its observations are not available. Several properties and applications of this distribution, including relationship with Azzalini's skew-normal distribution, are obtained. To circumvent inferential problem arises from adopting the frequentist's approach, a Bayesian method utilizing a data augmentation method is suggested. Illustrative examples demonstrate the performance of the method.

Bayesian Multiple Change-point Estimation in Normal with EMC

  • Kim, Jae-Hee;Cheon, Soo-Young
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.621-633
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    • 2006
  • In this paper, we estimate multiple change-points when the data follow the normal distributions in the Bayesian way. Evolutionary Monte Carlo (EMC) algorithm is applied into general Bayesian model with variable-dimension parameters and shows its usefulness and efficiency as a promising tool especially for computational issues. The method is applied to the humidity data of Seoul and the final model is determined based on BIC.

Communication Channel Equalization Using Adaptive Neural Net (적응 신경망을 이용한 통신 채널 등화)

  • 김정수;권용광;김민수;이대학;이상윤;김재공
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.1037-1040
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    • 1999
  • This paper investigates a RBF(Radial Basis Function) equalizer for channel equalization. RBF network has an identical structure to the optimal Bayesian symbol-decision equalizer solution. Therefore RBF can be employed to implement the Bayesian equalizer. Proposed algorithm of this paper makes channel states estimation to be unncessary, also makes center number which is needed indivisual channel to be minimum. Bayesian Equalizer has the theorical optimum performance. Proposed Equalizer performance is compared with this Baysian equalizer performance.

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BAYESIAN INFERENCE FOR MTAR MODEL WITH INCOMPLETE DATA

  • Park, Soo-Jung;Oh, Man-Suk;Shin, Dong-Wan
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.183-189
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    • 2003
  • A momentum threshold autoregressive (MTAR) model, a nonlinear autoregressive model, is analyzed in a Bayesian framework. Parameter estimation in the presence of missing data is done by using Markov chain Monte Carlo methods. We also propose simple Bayesian test procedures for asymmetry and unit roots. The proposed method is applied to a set of Korea unemployment rate data and reveals evidence for asymmetry and a unit root.

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