• Title/Summary/Keyword: nonparametric model

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A Nonparametric Additive Risk Model Based on Splines

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.1
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    • pp.97-105
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    • 2007
  • We consider a nonparametric additive risk model that is based on splines. This model consists of both purely and smoothly nonparametric components. As an estimation method of this model, we use the weighted least square estimation by Huller and Mckeague (1991). We provide an illustrative example as well as a simulation study that compares the performance of our method with the ordinary least square method.

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A Nonparametric Additive Risk Model Based On Splines

  • Park, Cheol-Yong
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.11a
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    • pp.49-50
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    • 2006
  • We consider a nonparametric additive risk model that are based on splines. This model consists of both purely and smoothly nonparametric components. As an estimation method of this model, we use the weighted least square estimation by Huffer and McKeague (1991). We provide an illustrative example as well as a simulation study that compares the performance of our method with the ordinary least square method.

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Small Area Estimation via Nonparametric Mixed Effects Model

  • Jeong, Seok-Oh;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.457-464
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    • 2012
  • Small area estimation is a statistical inference method to overcome the large variance due to the small sample size allocated in a small area. Recently some nonparametric estimators have been applied to small area estimation. In this study, we suggest a nonparametric mixed effect small area estimator using kernel smoothing and compare the small area estimators using labor statistics.

Estimation of Mean Residual Life under Random Censorship Model Using Partial Moment Approximation

  • Park, Byung Gu;Lee, Jae Man;Cha, Young Joon
    • Journal of Korean Society for Quality Management
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    • v.22 no.3
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    • pp.111-118
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    • 1994
  • In this paper we propose a parametric and a nonparametric small sample estimators for the mean residual life (MRL) under the random censorship model using the partial moment approximation. We also compare the proposed nonparametric estimator with the well-known nonparametric MRL estimator based on Kaplan-Meier estimator of the survival function, and present the efficiency of the nonparametric method relative to the Weibull model for small samples.

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Nonparametric Estimation in Regression Model

  • Han, Sang Moon
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.15-27
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    • 2001
  • One proposal is made for constructing nonparametric estimator of slope parameters in a regression model under symmetric error distributions. This estimator is based on the use of idea of Johns for estimating the center of the symmetric distribution together with the idea of regression quantiles and regression trimmed mean. This nonparametric estimator and some other L-estimators are studied by Monte Carlo.

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Nonparametric Bayesian methods: a gentle introduction and overview

  • MacEachern, Steven N.
    • Communications for Statistical Applications and Methods
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    • v.23 no.6
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    • pp.445-466
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    • 2016
  • Nonparametric Bayesian methods have seen rapid and sustained growth over the past 25 years. We present a gentle introduction to the methods, motivating the methods through the twin perspectives of consistency and false consistency. We then step through the various constructions of the Dirichlet process, outline a number of the basic properties of this process and move on to the mixture of Dirichlet processes model, including a quick discussion of the computational methods used to fit the model. We touch on the main philosophies for nonparametric Bayesian data analysis and then reanalyze a famous data set. The reanalysis illustrates the concept of admissibility through a novel perturbation of the problem and data, showing the benefit of shrinkage estimation and the much greater benefit of nonparametric Bayesian modelling. We conclude with a too-brief survey of fancier nonparametric Bayesian methods.

A General Semiparametric Additive Risk Model

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.421-429
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    • 2008
  • We consider a general semiparametric additive risk model that consists of three components. They are parametric, purely and smoothly nonparametric components. In parametric component, time dependent term is known up to proportional constant. In purely nonparametric component, time dependent term is an unknown function, and time dependent term in smoothly nonparametric component is an unknown but smoothly function. As an estimation method of this model, we use the weighted least square estimation by Huffer and McKeague (1991). We provide an illustrative example as well as a simulation study that compares the performance of our method with the ordinary least square method.

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Comparisons between Goodness-of-Fit Tests for ametric Model via Nonparametric Fit

  • Kim, Choon-Rak;Hong, Chan-Kon;Jeong, Mee-Seon
    • Communications for Statistical Applications and Methods
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    • v.3 no.3
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    • pp.39-46
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    • 1996
  • Most of existing nonparametric test statistics are based on the residuals which are obtained by regressing the data to a parametric model. In this paper we compare power of goodness-of-fit test statistics for testing the (null)parametric model versus the (alternative) nonparametric model.

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Nonparametric Estimation of Mean Residual Life by Partial Moment Approximation under Proportional Hazard Model

  • Cha, Young-Joon
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.4
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    • pp.965-971
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    • 2004
  • In this paper we consider several nonparametric estimators for the mean residual life by using the partial moment approximation under the proportional hazard model. Also we compare the magnitude of mean square error of the proposed nonparametric estimators for mean residual life under the proportional hazard model.

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Comparison of Some Nonparametric Statistical Inference for Logit Model (로짓모형의 비모수적 추론의 비교)

  • 정형철;김대학
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.355-366
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    • 2002
  • Nonparametric statistical inference for the parameter of logit model were examined. Usually nonparametric approach is milder than parametric approach based on normal theory assumption. We compared the two nonparametric methods for legit model, the bootstrap and random permutation in the sense of coverage probability. Monte Carlo simulation is conducted for small sample cases. Empirical power of hypothesis test and coverage probability for confidence interval estimation were presented for simple and multiple legit model respectively. An example were also introduced.