• Title/Summary/Keyword: statistical properties

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Interior and Exterior Trimmed Means in an Exponential Model

  • Jungsoo Woo;Changsoo Lee;Joongdae Kim
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.176-184
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    • 1995
  • In an exponential distribution, the properties of the interior and exterior trimmed means will be introduced, and reliability estimators using the two trimmed means will be compared with the UMVUE of reliability function through simulations.

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The Partial Ordering of Positive Lower Orthant Dependence

  • Kim, Tae-Sung;Ryu, Dae-Hee
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.847-858
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    • 1997
  • In this note we develop a partial ordering among positive lower orthant dependent distributions with fixed marginals. This permits us to measure the degree of positive lower orthant dependence. Some basic properties and preservation results are derived.

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On Fitting Polynomial Measurement Error Models with Vector Predictor -When Interactions Exist among Predictors-

  • Myung-Sang Moon
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.1-12
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    • 1995
  • An estimator of coefficients of polynomial measurement error model with vector predictor and first-order interaction terms is derived using Hermite polynomial. Asymptotic normality of estimator is provided and some simulation study is performed to compare the small sample properties of derived estimator with those of OLS estimator.

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Statistical Analysis of Generalized Capon's Method

  • Jinho Choi
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1994.06a
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    • pp.925-930
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    • 1994
  • We consider statistical properties of the generalized Capon's method. It is observed that the estimation error of the generalized Capon's method has almost the same variance as the MUSIC method, although the generalized Capon's method yields a slightly biased estimate.

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On the Moving Average Models with Multivariate geometric Distributions

  • Baek, Jong-ill
    • Communications for Statistical Applications and Methods
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    • v.6 no.3
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    • pp.677-686
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    • 1999
  • In this paper we introduce a class of moving-average(MA) sequences of multivariate random vectors with geometric marginals. The theory of positive dependence is used to show that in various cases the class of MA sequences consists of associated random variables. We utilize positive dependence properties to obtain weakly probability inequality of the multivariate processes.

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The Role of Distributional Cues in the Acquisition of Verb Argument Structures

  • Kim, Mee-Sook
    • Language and Information
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    • v.7 no.1
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    • pp.87-99
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    • 2003
  • This paper investigates the role of input frequency in the acquisition of verb argument structures based on distributional information of a corpus of utterances derived from the English CHILDES database (MacWhinney 1993). It has been widely accepted that children successfully learn verb argument structures by innate language mechanisms, such as linking rules which connect verb meanings and its syntactic structures. In contrast, an approach to language acquisition called “statistical language learning” has currently claimed that children could succeed in acquiring syntactic structures in the absence of innate language mechanisms, making use of distributional properties of the input. In this paper, I evaluate the feasibility of the statistical learning in acquiring verb argument structures, based on distributional information about locative verbs in parental input. The naturalistic data allow us to investigate to what extent the statistical learning approach can and cannot help children succeed in learning the syntax of locative verbs. Based on the results of English database analysis, I show that there is rich statistical information for learning the syntactic possibilities of locative verbs in parental input, despite some limitations in the statistical learning approach.

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Multiple Structural Change-Point Estimation in Linear Regression Models

  • Kim, Jae-Hee
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.423-432
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    • 2012
  • This paper is concerned with the detection of multiple change-points in linear regression models. The proposed procedure relies on the local estimation for global change-point estimation. We propose a multiple change-point estimator based on the local least squares estimators for the regression coefficients and the split measure when the number of change-points is unknown. Its statistical properties are shown and its performance is assessed by simulations and real data applications.

First Order Difference-Based Error Variance Estimator in Nonparametric Regression with a Single Outlier

  • Park, Chun-Gun
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.333-344
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    • 2012
  • We consider some statistical properties of the first order difference-based error variance estimator in nonparametric regression models with a single outlier. So far under an outlier(s) such difference-based estimators has been rarely discussed. We propose the first order difference-based estimator using the leave-one-out method to detect a single outlier and simulate the outlier detection in a nonparametric regression model with the single outlier. Moreover, the outlier detection works well. The results are promising even in nonparametric regression models with many outliers using some difference based estimators.

On Optimal Burn-in and Maintenance Policy

  • Na, Myung Hwan;Son, Young Nam
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.865-870
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    • 2002
  • Burn-in is a widely used method to eliminate the initial failures. Preventive maintenance policy such as age replacement is often used in field operation. In this paper burn-in and maintenance policy are taken into consideration at the same time. The properties of the corresponding optimal burn-in times and optimal maintenance policy are discussed.

A Nonparametric Method for Nonlinear Regression Parameters

  • Kim, Hae-Kyung
    • Journal of the Korean Statistical Society
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    • v.18 no.1
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    • pp.46-61
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    • 1989
  • This paper is concerned with the development of a nonparametric procedure for the statistical inference about the nonlinear regression parameters. A confidence region and a hypothesis testing procedure based on a class of signed linear rank statistics are proposed and the asymptotic distributions of the test statistic both under the null hypothesis and under a sequence of local alternatives are investigated. Some desirable asymptotic properties including the asymptotic relative efficiency are discussed for various score functions.

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