• 제목/요약/키워드: Strong consistency

검색결과 143건 처리시간 0.018초

The Strong Consistency of Regression Quantiles Estimators in Nonlinear Censored Regression Models

  • 최승희
    • Journal of the Korean Data and Information Science Society
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    • 제13권1호
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    • pp.157-164
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    • 2002
  • In this paper, we consider the strong consistency of the regression quantiles estimators for the nonlinear regression models when dependent variables are subject to censoring, and provide the sufficient conditions which ensure the strong consistency of proposed estimators of the censored regression models. one example is given to illustrate the application of the main result.

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The Strong Consistency of Nonlinear Least Squares Estimators

  • Kim, Hae-Kyung
    • Journal of the Korean Statistical Society
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    • 제18권2호
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    • pp.85-96
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    • 1989
  • This paper is concerned with the strong consistency of the least squares estimators for the nonlinear regression models. A simple and practical sufficient condition for the strong consistency of the least squares estimators is given. It is also discussed that the extension of the strong consistency to a wide class of regression functions can be established by imposing some condition on the input values. Some examples are given to illustrate the application of main result.

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The strong consistency of the $L_1$-norm estimators in censored nonlinear regression models

  • Park, Seung-Hoe;Kim, Hae-Kyung
    • 대한수학회보
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    • 제34권4호
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    • pp.573-581
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    • 1997
  • This paper is concerned with the strong consistency of the $L_1$-norm estimators for the nonlinear regression models when dependent variables are subject to censoring, and provides the sufficient conditions which ensure the strong consistency of $L_1$-norm estimators of the censored regression models.

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STRONG CONSISTENCY FOR AR MODEL WITH MISSING DATA

  • Lee, Myung-Sook
    • 대한수학회지
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    • 제41권6호
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    • pp.1071-1086
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    • 2004
  • This paper is concerned with the strong consistency of the estimators of the autocovariance function and the spectral density function for the autoregressive process in the case where only an amplitude modulated process with missing data is observed. These results will give a simple and practical sufficient condition for the strong consistency of those estimators. Finally, some examples are given to illustrate the application of main result.

THE STRONG CONSISTENCY OF THE ASYMMETRIC LEAST SQUARES ESTIMATORS IN NONLINEAR CENSORED REGRESSION MODELS

  • Choi, Seung-Hoe;Kim, Hae-Kyung
    • 대한수학회논문집
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    • 제18권4호
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    • pp.703-712
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    • 2003
  • This paper deals with the strong consistency of the asymmetric least squares for the nonlinear censored regression models which includes dependent variables cut off midway by any of external conditions, and provide the sufficient conditions which ensure the strong consistency of proposed estimators of the censored regression models. One example is given to illustrate the application of the main result.

THE STRONG CONSISTENCY OF NONLINEAR REGRESSION QUANTILES ESTIMATORS

  • Choi, Seung-Hoe;Kim, Hae-Kyung
    • 대한수학회보
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    • 제36권3호
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    • pp.451-457
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    • 1999
  • This paper provides sufficient conditions which ensure the strong consistency of regression quantiles estimators of nonlinear regression models. The main result is supported by the application of an asymptotic property of the least absolute deviation estimators as a special case of the proposed estimators. some example is given to illustrate the application of the main result.

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Stationary Bootstrap for U-Statistics under Strong Mixing

  • Hwang, Eunju;Shin, Dong Wan
    • Communications for Statistical Applications and Methods
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    • 제22권1호
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    • pp.81-93
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    • 2015
  • Validity of the stationary bootstrap of Politis and Romano (1994) is proved for U-statistics under strong mixing. Weak and strong consistencies are established for the stationary bootstrap of U-statistics. The theory is applied to a symmetry test which is a U-statistic regarding a kernel density estimator. The theory enables the bootstrap confidence intervals of the means of the U-statistics. A Monte-Carlo experiment for bootstrap confidence intervals confirms the asymptotic theory.

Consistency of PPP GPS and strong-motion records: case study of Mw9.0 Tohoku-Oki 2011 earthquake

  • Psimoulis, Panos;Houlie, Nicolas;Meindl, Michael;Rothacher, Markus
    • Smart Structures and Systems
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    • 제16권2호
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    • pp.347-366
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    • 2015
  • GPS and strong-motion sensors are broadly used for the monitoring of structural health and Earth surface motions, focusing on response of structures, earthquake characterization and rupture modeling. Several studies have shown the consistency of the two data sets within at certain frequency (e.g., 0.03

Regression Quantile Estimators of a Nonlinear Time Series Regression Model

  • 김태수;허선;김해경
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2000년도 추계학술발표회 논문집
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    • pp.13-15
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    • 2000
  • In this paper, we deal with the asymptotic properties of the regression quantile estimators in the nonlinear time series regression model. For the sinusodial model which frequently appears fer a time series analysis, we study the strong consistency and asymptotic normality of regression quantile ostinators.

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Asymmetric Least Squares Estimation for A Nonlinear Time Series Regression Model

  • Kim, Tae Soo;Kim, Hae Kyoung;Yoon, Jin Hee
    • Communications for Statistical Applications and Methods
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    • 제8권3호
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    • pp.633-641
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    • 2001
  • The least squares method is usually applied when estimating the parameters in the regression models. However the least square estimator is not very efficient when the distribution of the error is skewed. In this paper, we propose the asymmetric least square estimator for a particular nonlinear time series regression model, and give the simple and practical sufficient conditions for the strong consistency of the estimators.

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