• Title/Summary/Keyword: Nuisance

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Convergence of Score process in the Cox Proportional Hazards Model

  • Hwang, Jin-Soo
    • Journal of the Korean Statistical Society
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    • v.26 no.1
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    • pp.117-130
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    • 1997
  • We study the asymptotic behavior of the maximum partial likelihood estimator in the Cox proportional hazards model in the presence of nuisance parameters when the entry of patients is staggered. When entry of patients is simultaneous and there is only one regression parameter in the Cox model, the efficient score process of the partial likelihood is martingale and converges weakly to a time-chnaged Brownian motion. Our problem is to get a similar result in the presence of nuisance parameters when entry of patient is staggered.

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Asymptotics for realized covariance under market microstructure noise and sampling frequency determination

  • Shin, Dong Wan;Hwang, Eunju
    • Communications for Statistical Applications and Methods
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    • v.23 no.5
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    • pp.411-421
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    • 2016
  • Large frequency limiting distributions of two errors in realized covariance are investigated under noisy and non-synchronous high frequency sampling situations. The first distribution characterizes increased variance of the realized covariance due to noise for large frequency and the second distribution characterizes decreased variance of the realized covariance due to discretization for large frequency. The distribution of the combined error enables us to determine the sampling frequency which depends on a nuisance parameter. A consistent estimator of the nuisance parameter is proposed.

NEW LM TESTS FOR UNIT ROOTS IN SEASONAL AR PROCESSES

  • Oh, Yu-Jin;So, Beong-Soo
    • Journal of the Korean Statistical Society
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    • v.36 no.4
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    • pp.447-456
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    • 2007
  • On the basis of marginal likelihood of the residual vector which is free of nuisance mean parameters, we propose new Lagrange Multiplier seasonal unit root tests in seasonal autoregressive process. The limiting null distribution of the tests is the standardized ${\chi}^2-distribution$. A Monte-Carlo simulation shows the new tests are more powerful than the tests based on the ordinary least squares (OLS) estimator, especially for large number of seasons and short time spans.

Effect on Molded Case Circuit Breaker of Harmonic Current (고조파 전류가 배선용차단기에 미치는 영향)

  • Yoo, Jae-Geun;Choi, Myung-Il;Park, Chee-Hyun;Son, Jae-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.1
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    • pp.53-58
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    • 2008
  • This paper analyze the operating characteristic of MCCB due to the synthesize harmonic current. Four types of MCCBs, divided by the type of operation system and a principle of operation, tested with 200[%] of rated current. The test result nuisance tripping did not occur but the time delay characteristic of the hydraulic magnetic type MCCB is appeared. From the place where the synthesize harmonic content is high it is good the hydraulic magnetic type MCCB not to use.

Lagrange Multiplier Test for both Regular and Seasonal Unit Roots

  • Park, Young-J.;Cho, Sin-Sup
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.101-114
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    • 1995
  • In this paper we consider the multiple unit root tests both for the regular and seasonal unit roots based on the Lagrange Multiplier(LM) principle. Unlike Li(1991)'s method, by plugging the restricted maximum likelihood estimates of the nuisance parameters in the model, we propose a Lagrange multiplier test which does not depend on the existence of the nuisance parameters. The asymptotic distribution of the proposed statistic is derived and empirical percentiles of the test statistic for selected seasonal periods are provided. The power and size of the test statistic for examined for finite samples through a Monte Carlo simularion.

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Variance Estimation for General Weight-Adjusted Estimator (가중치 보정 추정량에 대한 일반적인 분산 추정법 연구)

  • Kim, Jae-Kwang
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.281-290
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    • 2007
  • Linear estimator, a weighted sum of the sample observation, is commonly adopted to estimate the finite population parameters such as population totals in survey sampling. The weight for a sampled unit is often constructed by multiplying the base weight, which is the inverse of the first-order inclusion probability, by an adjustment term that takes into account of the auxiliary information obtained throughout the population. The linear estimator using the weight adjustment is often more efficient than the one using only the bare weight, but its valiance estimation is more complicated. We discuss variance estimation for a general class of weight-adjusted estimator. By identifying that the weight-adjusted estimator can be viewed as a function of estimated nuisance parameters, where the nuisance parameters were used to incorporate the auxiliary information, we derive a linearization of the weight-adjusted estimator using a Taylor expansion. The method proposed here is quite general and can be applied to wide class of the weight-adjusted estimators. Some examples and results from a simulation study are presented.

Operating Characteristics of Molded Case Circuit Breakers by Harmonic Currents (고조파 전류에 의한 배선용 차단기 동작 특성)

  • Jeon, Jeong-Chay;Yoo, Jae-Geun;Lee, Sang-Ick
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.20 no.2
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    • pp.68-74
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    • 2006
  • Malfunction and nuisance tripping of molded case circuit breaker(MCCB) caused by harmonic currents have been reported. But no data is available on the behavior of MCCB under harmonic currents. This paper tested the effects of harmonic currents on four common types of MCCB(thermal, thermal magnetic, magnetic and electronic types). Results of experiment detected no nuisance tripping with any of the breakers tested under test currents, included harmonic current, below rated currents. Additionally it was found that varying harmonic loading conditions did not affect manufacturer specified trip times for thermal only and thermal magnetic circuit breakers. However, under overloaded conditions, trip times of the magnetic only circuit breakers were gradually slowed according to increasing of harmonic currents, and it could cause hazardous overheating of cables. So, the use of magnetic only circuit breakers in the place harmonic currents we serious must be avoided.

IV ECM Threshold Cointegration Tests and Nonlinear Monetary Policy in Korea (분계점 공적분 검정법을 사용한 한국의 비선형 테일러 통화정책 검증)

  • Enders, Walter;Lee, Junsoo;Strazicich, Mark C.
    • KDI Journal of Economic Policy
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    • v.29 no.2
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    • pp.135-157
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    • 2007
  • The goal of this paper is to examine the validity of nonlinear Taylor rules in Korea. To perform our tests, we utilize new IV ECM threshold cointegration tests that are invariant to nuisance parameters. The new tests have a standard chi-square distribution and the same critical values can be used throughout. This is in contrast to OLS ECM threshold cointegration tests, which depend on nuisance parameters and have nonstandard distributions. After finding significant support for nonlinear cointegration, we find that the Bank of Korea raises the call rate of interest only when inflation is above a threshold rate. We additionally find that the Bank of Korea increases the call rate of interest to possibly counter domestic currency deprecation only when the rate of currency deprecation exceeds a threshold.

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Some Lower Bound of Cramer-Rao type for Median-Unbiased Estimates

  • So, Beong-Soo
    • Journal of Korean Society for Quality Management
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    • v.22 no.1
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    • pp.205-213
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    • 1994
  • We construct a new lower bound of Cramer-Rao type for the median-unbiased estimator in the presence a nuisance parameter. We also identify useful necessary and sufficient conditions for the attainability of the lower bound. Some applications including the analysis of censored reliability data are considered as examples.

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