• Title/Summary/Keyword: Exponential regression model

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Comparative Study on Imputation Procedures in Exponential Regression Model with missing values

  • Park, Young-Sool;Kim, Soon-Kwi
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.2
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    • pp.143-152
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    • 2003
  • A data set having missing observations is often completed by using imputed values. In this paper, performances and accuracy of five imputation procedures are evaluated when missing values exist only on the response variable in the exponential regression model. Our simulation results show that adjusted exponential regression imputation procedure can be well used to compensate for missing data, in particular, compared to other imputation procedures. An illustrative example using real data is provided.

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Imputation Procedures in Exponential Regression Analysis in the presence of missing values

  • Park, Young-Sool
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.05a
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    • pp.135-144
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    • 2003
  • A data set having missing observations is often completed by using imputed values. In this paper, performances and accuracy of five imputation procedures are evaluated when missing values exist only on the response variable in the exponential regression model. Our simulation results show that adjusted exponential regression imputation procedure can be well used to compensate for missing data, in particular, compared to other imputation procedures. An illustrative example using real data is provided.

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A Study on the Prediction of the World Seaborne Trade Volume through the Exponential Smoothing Method and Seemingly Unrelated Regression Model (지수평활법과 SUR 모형을 통한 세계 해상물동량 예측 연구)

  • Ahn, Young-Gyun
    • Korea Trade Review
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    • v.44 no.2
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    • pp.51-62
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    • 2019
  • This study predicts the future world seaborne trade volume with econometrics methods using 23-year time series data provided by Clarksons. For this purpose, this study uses simple regression analysis, exponential smoothing method and seemingly unrelated regression model (SUR Model). This study is meaningful in that it predicts worldwide total seaborne trade volume and seaborne traffic in four major items (container, bulk, crude oil, and LNG) from 2019 to 2023 as there are few prior studies that predict future seaborne traffic using recent data. It is expected that more useful references can be provided to trade related workers if the analysis period was increased and additional variables could be included in future studies.

Object Size Prediction based on Statistics Adaptive Linear Regression for Object Detection (객체 검출을 위한 통계치 적응적인 선형 회귀 기반 객체 크기 예측)

  • Kwon, Yonghye;Lee, Jongseok;Sim, Donggyu
    • Journal of Broadcast Engineering
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    • v.26 no.2
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    • pp.184-196
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    • 2021
  • This paper proposes statistics adaptive linear regression-based object size prediction method for object detection. YOLOv2 and YOLOv3, which are typical deep learning-based object detection algorithms, designed the last layer of a network using statistics adaptive exponential regression model to predict the size of objects. However, an exponential regression model can propagate a high derivative of a loss function into all parameters in a network because of the property of an exponential function. We propose statistics adaptive linear regression layer to ease the gradient exploding problem of the exponential regression model. The proposed statistics adaptive linear regression model is used in the last layer of the network to predict the size of objects with statistics estimated from training dataset. We newly designed the network based on the YOLOv3tiny and it shows the higher performance compared to YOLOv3 tiny on the UFPR-ALPR dataset.

Robust extreme quantile estimation for Pareto-type tails through an exponential regression model

  • Richard Minkah;Tertius de Wet;Abhik Ghosh;Haitham M. Yousof
    • Communications for Statistical Applications and Methods
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    • v.30 no.6
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    • pp.531-550
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    • 2023
  • The estimation of extreme quantiles is one of the main objectives of statistics of extremes (which deals with the estimation of rare events). In this paper, a robust estimator of extreme quantile of a heavy-tailed distribution is considered. The estimator is obtained through the minimum density power divergence criterion on an exponential regression model. The proposed estimator was compared with two estimators of extreme quantiles in the literature in a simulation study. The results show that the proposed estimator is stable to the choice of the number of top order statistics and show lesser bias and mean square error compared to the existing extreme quantile estimators. Practical application of the proposed estimator is illustrated with data from the pedochemical and insurance industries.

Generalized Exponential Regression Model with Randomly Censored Data (임의중도절단자료를 갖는 일반화된 지수회귀모형)

  • 하일도
    • Journal of Korea Society of Industrial Information Systems
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    • v.4 no.2
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    • pp.39-43
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    • 1999
  • We consider generalized exponential regression model with randomly censored data and propose a modified Fisher scoring method which estimates the model parameters. For this, the likelihood equations are derived and then the estimating algorithm is developed. We illustrate the proposed method using a real data.

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New Dispersion Function in the Rank Regression

  • Choi, Young-Hun
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.101-113
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    • 2002
  • In this paper we introduce a new score generating (unction for the rank regression in the linear regression model. The score function compares the $\gamma$'th and s\`th power of the tail probabilities of the underlying probability distribution. We show that the rank estimate asymptotically converges to a multivariate normal. further we derive the asymptotic Pitman relative efficiencies and the most efficient values of $\gamma$ and s under the symmetric distribution such as uniform, normal, cauchy and double exponential distributions and the asymmetric distribution such as exponential and lognormal distributions respectively.

Time series regression model for forecasting the number of elementary school teachers (초등학교 교원 수 예측을 위한 시계열 회귀모형)

  • Ryu, Soo Rack;Kim, Jong Tae
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.2
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    • pp.321-332
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    • 2013
  • Because of the continuous low birthrates, the number of the elementary students will decrease by 17% in 2020 compared to 2011. The purpose of this study is to forecast the number of elementary school teachers until 2020. We used the data in education statistical year books from 1970 to 2010. We used the time-series regression model, time series grouped regression model and exponential smoothing model to predict the number of teachers for the next ten years. Consequently time-series grouped regression model is a better model for forecasting the number of elementary school teachers than other models.

Asymptotics for Accelerated Life Test Models under Type II Censoring

  • Park, Byung-Gu;Yoon, Sang-Chul
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.2
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    • pp.179-188
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    • 1996
  • Accelerated life testing(ALT) of products quickly yields information on life. In this paper, we investigate asymptotic normalities of maximum likelihood(ML) estimators of parameters for ALT model under Type II censored data using results of Bhattacharyya(1985). Further illustrations include the treatment of asymptotic of the exponential and Weibull regression models.

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Estimating Methods on Exponential Regression Models with Censored Data

  • Ha, Il-Do;Lee, Youngjo;Song, Jae-Kee
    • Journal of the Korean Statistical Society
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    • v.28 no.2
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    • pp.195-210
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    • 1999
  • We consider a large class of exponential regression models with censored data and propose two modified Fisher scoring methods with corresponding algorithms. These proposed methods improve the Newton-Raphson method in estimating the model parameters. The simulated and real examples are illustrated in aspect of convergence.

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