• Communications for Statistical Applications and Methods
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• 제24권3호
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• pp.227-240
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• 2017

In this paper, we introduce the inverted exponentiated Weibull (IEW) distribution which contains exponentiated inverted Weibull distribution, inverse Weibull (IW) distribution, and inverted exponentiated distribution as submodels. The proposed distribution is obtained by the inverse form of the exponentiated Weibull distribution. In particular, we explain that the proposed distribution can be interpreted by Marshall and Olkin's book (Lifetime Distributions: Structure of Non-parametric, Semiparametric, and Parametric Families, 2007, Springer) idea. We derive the cumulative distribution function and hazard function and calculate expression for its moment. The hazard function of the IEW distribution can be decreasing, increasing or bathtub-shaped. The maximum likelihood estimation (MLE) is obtained. Then we show the existence and uniqueness of MLE. We can also obtain the Bayesian estimation by using the Gibbs sampler with the Metropolis-Hastings algorithm. We also give applications with a simulated data set and two real data set to show the flexibility of the IEW distribution. Finally, conclusions are mentioned.

• Journal of the Korean Data and Information Science Society
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• 제20권1호
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• pp.203-209
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• 2009

Frailty models are useful for the analysis of correlated and/or heterogeneous survival data. However, the inferences of fixed parameters, rather than random effects, have been mainly studied. The prediction (or estimation) of random effects is also practically useful to investigate the heterogeneity of the hospital or patient effects. In this paper we propose how to extend the prediction method for random effects in HGLMs (hierarchical generalized linear models) to log-normal semiparametric frailty models with nonparametric baseline hazard. The proposed method is demonstrated by a simulation study.

• Journal of the Korean Statistical Society
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• 제34권1호
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• pp.49-60
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• 2005

In this paper we introduce a nonparametric method for estimating the probability density function of detection distances in line transect sampling. The estimator is obtained using a frequency histogram density estimation method. The asymptotic properties of the proposed estimator are derived and compared with those of the kernel estimator under the assumption that the data collected satisfy the shoulder condition. We found that the asymptotic mean square error (AMSE) of the two estimators have about the same convergence rate. The formula for the optimal histogram bin width is derived which minimizes AMSE. Moreover, the performances of the corresponding k-nearest-neighbor estimators are studied through simulation techniques. In the absence of our knowledge whether the shoulder condition is valid or not a new semi-parametric model is suggested to fit the line transect data. The performances of the proposed two estimators are studied and compared with some existing nonparametric and semiparametric estimators using simulation techniques. The results demonstrate the superiority of the new estimators in most cases considered.

• 노동경제논집
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• 제42권3호
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• pp.39-74
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• 2019

본 논문에서는 2007~2013년 "대졸자직업이동경로조사" 데이터와 Dahl(2002)의 준모수적 방법론을 사용하여 선택편의를 보정한 대졸자들의 취업 초기 임금함수를 추정하고, 각 계수의 지역 간 차이가 선택편의에 기인한 것인지 검증하고자 하였다. 분석 결과, 선택편의를 보정하더라도 성별에 따른 임금 프리미엄의 지역 간 차이는 큰 변화가 없으며, 학력, 전공에 따른 임금 프리미엄의 지역 간 차이는 각각 약 18%, 11% 감소하여 여전히 지역 간에 큰 차이가 존재하는 것으로 나타났다. 한편, 서울 및 경기 지역에 대해서는 선택 편의가 미미한 것으로 나타나 대졸청년층의 수도권 선호 경향은 성별, 학력, 전공 등 노동자들의 특성에 별다른 관계없이 일반적인 것으로 보인다.

• 응용통계연구
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• 제29권1호
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• pp.171-180
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• 2016

바젤 위원회는 시장위험의 측정 도구로 Value-at-Risk(VaR)와 expected shortfall(ES)을 사용할 것을 제안하였다. 여러 문헌에서 VaR와 ES의 다양한 추정 방법들이 연구 되었다. 본 연구에서는 준모수적인 방법인 conditional autoregressive value at risk(CAViaR), conditional autoregressive expectile(CARE) 방법들, 그리고 Gaussian 준최대가능도 추정량(QMLE)를 이용한 방법을 사후 검정을 통해서 비교하고자 한다. 각 방법의 타당성을 확인하기 위해서, VaR에 대한 사후 검정은 unconditional coverage(UC)와 conditional coverage(CC) 검정을 사용하고 ES에 대한 검정은 붓스트랩 방법을 사용한다. S&P500 지수와 현대 자동차 주식가격 지수에 대하여 실증 자료 분석이 수행되었다.

• Nuclear Engineering and Technology
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• 제55권3호
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• pp.1052-1060
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• 2023

The airborne radiation monitoring has been used in geophysics for more than forty years and now it also has its important role in emergency monitoring. The aircraft background and the cosmic gamma-rays contribute to the measured gamma spectrum on the aircraft board. This adverse effect should be eliminated before the data processing. The paper describes two semiparametric methods to estimate the full spectrum aircraft background and cosmic gamma-ray contribution from spectra measured at altitudes where terrestrial contribution is negligible. The methods only assume to know possible peak positions in spectra and their full width at half maximum, that can be easily obtained e.g. from terrestrial measurement. The methods were applied to real experimental data acquired on Mi-17 and Bell 412 helicopter boards. The IRIS airborne gamma-ray spectrometer, with 4×4 L NaI(Tl) crystals, produced by Pico Envirotec Inc., Canada, was used on helicopters' boards. To obtain valid estimate of the aircraft background and the cosmic contribution, the measurements over sea and large water areas were carried out. However, the satisfactory results over inland were also achieved comparing with those acquired over large water areas.

• 노동경제논집
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• 제29권2호
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• pp.67-116
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• 2006

본 연구는 대표치가 아니라 임금분포 자체를 분석대상으로 하여 그것을 고용구조적 견지에서 다양한 기술통계적 방법과 반모수적 계량분석 방법을 활용하여 분석하였다. 한국 제조업의 대표적 임금분포는 형태상 상당한 차이를 가지는 후진형, 중진형, 그리고 선진형 분포로 구별된다. 분포 형태의 차이는 그것을 구성하는 노동유형 분포와 가중치의 차이로 규정되고, 노동유형 분포를 사용한 다양한 기술통계적 분석을 통해서 유형 차이의 발생 이유가 명백히 된다. 그러나 기술통계 분석은 개별 속성변수들의 영향이 혼재된 복합적 결과라는 한계점을 가진다. 이 문제는 비례적 해저드함수를 활용한 반모수적 추정, 그리고 변수 변화의 한계효과를 함수 차원이 아니라 추정된 함수가 가져오는 분포 차원에서 평가하는 방법으로 해결된다. 한계분석의 결과로서 후진형, 중진형, 그리고 선진형 분포에 영향을 미치는 속성변수의 공통적 특징과 차이점, 그리고 영향의 강도가 밝혀진다.

• 응용통계연구
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• 제21권6호
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• pp.923-932
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• 2008

우리는 자명하지 않은 상관 구조를 갖는 복잡한 다변량 자료에 직면하는 경우가 있다. 예를 들어 군집 구조 자료의 경우 생략된 변수들이 한 개 이상의 관측값에 동시적으로 영향을 줄 수 있기 때문에 결과들 간에 상관 구조를 모형화하는 것은 추정량의 효율성과 정확한 표준오차의 계산 등의 타당한 추론을 위해서 중요하다 관측값들 간에 종속성을 두는 표준 방법으로는 관측 값들이 관찰되지 않은 어떤 변수를 공유한다고 가정하는 것인데, 이러한 가정에 대해 본 연구에서는 다수준 모형을 고려한 상관된 임의효과 모형을 적합시켰다. 추정은 준모수적 접근방법으로 임의계수 분포에 대한 모수적 가정 없이 유한혼합 EM-알고리즘을 통하여 수행되었다.

• 유통과학연구
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• 제14권1호
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• pp.93-102
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• 2016

Purpose - The purpose of paper is studying the static and dynamic side for long-term memory storage properties, and increase the explanatory power regarding the long-term memory process by looking at the long-term storage attributes, Korea Composite Stock Price Index. The reason for the use of GPH statistic is to derive the modified statistic Korea's stock market, and to research a process of long-term memory. Research design, data, and methodology - Level shifts were subjected to be an empirical analysis by applying the GPH method. It has been modified by taking into account the daily log return of the Korea Composite Stock Price Index a. The Data, used for the stock market to analyze whether deciding the action by the long-term memory process, yield daily stock price index of the Korea Composite Stock Price Index and the rate of return a log. The studies were proceeded with long-term memory and long-term semiparametric method in deriving the long-term memory estimators. Chapter 2 examines the leading research, and Chapter 3 describes the long-term memory processes and estimation methods. GPH statistics induced modifications of statistics and discussed Whittle statistic. Chapter 4 used Korea Composite Stock Price Index to estimate the long-term memory process parameters. Chapter 6 presents the conclusions and implications. Results - If the price of the time series is generated by the abnormal process, it may be located in long-term memory by a time series. However, test results by price fixed GPH method is not followed by long-term memory process or fractional differential process. In the case of the time-series level shift, the present test method for a long-term memory processes has a considerable amount of bias, and there exists a structural change in the stock distribution market. This structural change has implications in level shift. Stratum level shift assays are not considered as shifted strata. They exist distinctly in the stock secondary market as bias, and are presented in the test statistic of non-long-term memory process. It also generates an error as a long-term memory that could lead to false results. Conclusions - Changes in long-term memory characteristics associated with level shift present the following two suggestions. One, if any impact outside is flowed for a long period of time, we can know that the long-term memory processes have characteristic of the average return gradually. When the investor makes an investment, the same reasoning applies to him in the light of the characteristics of the long-term memory. It is suggested that when investors make decisions on investment, it is necessary to consider the characters of the long-term storage in reference with causing investors to increase the uncertainty and potential. The other one is the thing which must be considered variously according to time-series. The research for price-earnings ratio and investment risk should be composed of the long-term memory characters, and it would have more predictability.