• Title/Summary/Keyword: Models, statistical

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A study on the step stress life testing (계단적 충격 생명검사에 관한 연구)

  • 이석훈
    • The Korean Journal of Applied Statistics
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    • v.2 no.2
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    • pp.61-78
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    • 1989
  • We consider the step stress life testing which has been developed in order to perform the life testing of the units whose normal life time is long within a reasonable amount of time. The models suggested for statistical analysis of the data obtained form the stress life testing are reviewed and a model which contains these models in some respect is suggested. The statistical inference based on the suggested model is done using maximum likelihood and weighted least square estimates. Finally we review the design of the simple step stress life testing and extend the result to the censoring case.

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Design Sensitivity Studies for Statistical Energy Analysis Modeling of Construction Vehicle Cab (통계적 에너지 해석 모델을 이용한 건설 장비 차실 설계에 관한 연구)

  • 채장범
    • Journal of KSNVE
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    • v.8 no.4
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    • pp.609-615
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    • 1998
  • In recent years there has been an increasing emphasis on shortening design cycles for bringing products to market. This requires the development of computer aided engineering tools which allow analysts to quickly evaluate the effect of design changes on noise, vibration, and harshness. Statistical Energy Analysis (SEA) modeling is a valuable tool for predicting noise and vibration as SEA models are inherently simpler and more robust than deterministic models. SEA modeling can be combined with design sensitivity analysis(DSA) to identify design changes which give the largest performance benefit. This paper describes SEA modeling of an equipment cab. SEA predictions are compared to test data, showing good agreement. The use of design sensitivity analysis in improving cab design is then demonstrated.

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PERFORMANCE ANALYSIS OF A STATISTICAL MULTIPLEXER WITH THREE-STATE BURSTY SOURCES

  • Choi, Bong-Dae;Jung, Yong-Wook
    • Communications of the Korean Mathematical Society
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    • v.14 no.2
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    • pp.405-423
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    • 1999
  • We consider a statistical multiplexer model with finite buffer capacity and finite number of independent identical 3-state bursty voice sources. The burstiness of the sources is modeled by describing both two different active periods (at the rate of one packet perslot) and the passive periods during which no packets are generated. Assuming a mixture of two geometric distributions for active period and a geometric distribution for passive period and geometric distribution for passive period, we derive the recursive algorithm for the probability mass function of the buffer contents (in packets). We also obtain loss probability and the distribution of packet delay. Numerical results show that the system performance deteriorates considerably as the variance of the active period increases. Also, we see that the loss probability of 2-state Markov models is less than that of 3-state Markov models.

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Comparative Study on Statistical Packages for Analyzing Logistic Regression - MINITAB, SAS, SPSS, STATA -

  • Kim, Soon-Kwi;Jeong, Dong-Bin;Park, Young-Sool
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.367-378
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    • 2004
  • Recently logistic regression is popular in a variety of fields so that a number of statistical packages are developed for analyzing the logistic regression. This paper briefly considers the several types of logistic regression models used depending on different types of data. In addition, when four statistical packages (MINTAB, SAS, SPSS and STATA) are used to apply logistic regression models to the real fields respectively, their scope and characteristics are investigated.

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ELCIC: An R package for model selection using the empirical-likelihood based information criterion

  • Chixiang Chen;Biyi Shen;Ming Wang
    • Communications for Statistical Applications and Methods
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    • v.30 no.4
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    • pp.355-368
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    • 2023
  • This article introduces the R package ELCIC (https://cran.r-project.org/web/packages/ELCIC/index.html), which provides an empirical likelihood-based information criterion (ELCIC) for model selection that includes, but is not limited to, variable selection. The empirical likelihood is a semi-parametric approach to draw statistical inference that does not require distribution assumptions for data generation. Therefore, ELCIC is more robust and versatile in the context of model selection compared to the currently existing information criteria. This paper illustrates several applications of ELCIC, including its use in generalized linear models, generalized estimating equations (GEE) for longitudinal data, and weighted GEE (WGEE) for missing longitudinal data under the mechanisms of missing at random and dropout.

Safety Performance Functions for Central Business Districts Using a Zero-Inflated Model (영과잉을 고려한 중심상업지구 교통사고모형 개발에 관한 연구)

  • Lee, Sang Hyuk;Woo, Yong Han
    • International Journal of Highway Engineering
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    • v.18 no.4
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    • pp.83-92
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    • 2016
  • PURPOSES : The purpose of this study was to develop safety performance functions (SPFs) that use zero-inflated negative binomial regression models for urban intersections in central business districts (CBDs), and to compare the statistical significance of developed models against that of regular negative binomial regression models. METHODS : To develop and analyze the SPFs of intersections in CBDs, data acquisition was conducted for dependent and independent variables in areas of study. We analyzed the SPFs using zero-inflated negative binomial regression model as well as regular negative binomial regression model. We then compared the results by analyzing the statistical significance of the models. RESULTS : SPFs were estimated for all accidents and injury accidents at intersections in CBDs in terms of variables such as AADT, Number of Lanes at Major Roads, Median Barriers, Right Turn with an Exclusive Turn Lane, Turning Guideline, and Front Signal. We also estimated the log-likelihood at convergence and the likelihood ratio of SPFs for comparing the zero-inflated model with the regular model. In he SPFs, estimated log-likelihood at convergence and the likelihood ratio of the zero-inflated model were at -836.736, 0.193 and -836.415, 0.195. Also estimated the log-likelihood at convergence and likelihood ratio of the regular model were at -843.547, 0.187 and -842.631, 0.189, respectively. These figures demonstrate that zero-inflated negative binomial regression models can better explain traffic accidents at intersections in CBDs. CONCLUSIONS : SPFs that use a zero-inflated negative binomial regression model demonstrate better statistical significance compared with those that use a regular negative binomial regression model.

Nonparametric Bayesian Statistical Models in Biomedical Research (생물/보건/의학 연구를 위한 비모수 베이지안 통계모형)

  • Noh, Heesang;Park, Jinsu;Sim, Gyuseok;Yu, Jae-Eun;Chung, Yeonseung
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.867-889
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    • 2014
  • Nonparametric Bayesian (np Bayes) statistical models are popularly used in a variety of research areas because of their flexibility and computational convenience. This paper reviews the np Bayes models focusing on biomedical research applications. We review key probability models for np Bayes inference while illustrating how each of the models is used to answer different types of research questions using biomedical examples. The examples are chosen to highlight the problems that are challenging for standard parametric inference but can be solved using nonparametric inference. We discuss np Bayes inference in four topics: (1) density estimation, (2) clustering, (3) random effects distribution, and (4) regression.

Value at Risk Forecasting Based on Quantile Regression for GARCH Models

  • Lee, Sang-Yeol;Noh, Jung-Sik
    • The Korean Journal of Applied Statistics
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    • v.23 no.4
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    • pp.669-681
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    • 2010
  • Value-at-Risk(VaR) is an important part of risk management in the financial industry. This paper present a VaR forecasting for financial time series based on the quantile regression for GARCH models recently developed by Lee and Noh (2009). The proposed VaR forecasting features the direct conditional quantile estimation for GARCH models that is well connected with the model parameters. Empirical performance is measured by several backtesting procedures, and is reported in comparison with existing methods using sample quantiles.

Further Applications of Johnson's SU-normal Distribution to Various Regression Models

  • Choi, Pilsun;Min, In-Sik
    • Communications for Statistical Applications and Methods
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    • v.15 no.2
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    • pp.161-171
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    • 2008
  • This study discusses Johnson's $S_U$-normal distribution capturing a wide range of non-normality in various regression models. We provide the likelihood inference using Johnson's $S_U$-normal distribution, and propose a likelihood ratio (LR) test for normality. We also apply the $S_U$-normal distribution to the binary and censored regression models. Monte Carlo simulations are used to show that the LR test using the $S_U$-normal distribution can be served as a model specification test for normal error distribution, and that the $S_U$-normal maximum likelihood (ML) estimators tend to yield more reliable marginal effect estimates in the binary and censored model when the error distributions are non-normal.

A Study on Performance Analysis of Short Term Internet Traffic Forecasting Models (단기 측정 인터넷 트래픽 예측을 위한 모형 성능 비교 연구)

  • Ha, M.H.;Son, H.G.;Kim, S.
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.415-422
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    • 2012
  • In this paper, we first the compare the performance of Holt-Winters, FSARIMA, AR-GARCH and Seasonal AR-GARCH models with in the short term based data. The results of the compared data show that the Holt-Winters model outperformed other models in terms of forecasting accuracy.