• 한국전자파학회논문지
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• 제23권7호
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• pp.822-830
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• 2012

클러터는 레이더로 수신되는 불필요한 신호로 표적 탐지에 영향을 준다. 레이더 클러터는 진폭 분포, 주파수 스펙트럼 등과 같은 특성으로 정의되며, 이러한 특성을 충분히 고려하여 클러터 모델링 및 신호 생성이 되어야 한다. 본 논문에서는 다양한 클러터의 모델링에 광범위하게 사용되는 Weibull 분포 함수를 균일 분포 함수를 이용하여 단순화한 근사적 모델링 기법에 대하여 제안한다. 제안된 Weibull 분포 함수 근사 해에 의해 발생된 데이터가 원 Weibull 확률 밀도 함수를 만족하며, 생성 시간은 약 20 % 감소함을 실험 결과를 통하여 입증한다.

• Communications for Statistical Applications and Methods
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• 제21권2호
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• pp.147-160
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• 2014

In this paper, we introduce the exponentiated Weibull-geometric (EWG) distribution which generalizes two-parameter exponentiated Weibull (EW) distribution introduced by Mudholkar et al. (1995). This proposed distribution is obtained by compounding the exponentiated Weibull with geometric distribution. We derive its cumulative distribution function (CDF), hazard function and the density of the order statistics and calculate expressions for its moments and the moments of the order statistics. The hazard function of the EWG distribution can be decreasing, increasing or bathtub-shaped among others. Also, we give expressions for the Renyi and Shannon entropies. The maximum likelihood estimation is obtained by using EM-algorithm (Dempster et al., 1977; McLachlan and Krishnan, 1997). We can obtain the Bayesian estimation by using Gibbs sampler with Metropolis-Hastings algorithm. Also, we give application with real data set to show the flexibility of the EWG distribution. Finally, summary and discussion are mentioned.

• 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.

• Communications for Statistical Applications and Methods
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• 제23권5호
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• pp.399-409
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• 2016

Many of studies have suggested the modifications on Weibull distribution to model the non-monotone hazards. In this paper, we combine two cumulative hazard functions and propose a new modified Weibull distribution function. The newly suggested distribution will be named as a new flexible Weibull distribution. Corresponding hazard function of the proposed distribution shows flexible (monotone or non-monotone) shapes. We study the characteristics of the proposed distribution that includes ageing behavior, moment, and order statistic. We also discuss an estimation method for its parameters. The performance of the proposed distribution is compared with existing modified Weibull distributions using various types of hazard functions. We also use real data example to illustrate the efficiency of the proposed distribution.

• Journal of the Korean Data and Information Science Society
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• 제20권2호
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• pp.459-465
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• 2009

For an inverse double Weibull distribution which is symmetric about zero, we obtain distribution and moment of ratio of independent inverse double Weibull variables, and also obtain the cumulative distribution function and moment of a skew-symmetric inverse double Weibull distribution. And we introduce a skew-symmetric inverse double Weibull generated by a double Weibull distribution.

• 한국산림과학회지
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• 제61권1호
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• pp.1-7
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• 1983

Weibull 분포함수(分布函數)에 의하여 임분(林分)의 직경(直徑) 분포(分布)를 추정(推定)할 수 있는 방법(方法) 중(中) 직경분포(直徑分布)의 실측치(實測値)로 직접(直接) 계산(計算)하는 방법(方法)에 대하여는 제(第) I 보(報)에서 발표(發表)하였다. 본(本) 연구(硏究)에서는 임의추출(任意抽出)한 표본목(標本木)의 평균직경(平均直徑)과 단면적평균직경(斷面績平均直徑)만을 구한 다음 Gamma함수(函數)를 사용(使用)한 Weibull 분포함수(分布函數)에 의하여 임분(林分)의 직경분포(直徑分布)를 추정(推定)하였다. 그 결과(結果) 실제(實際) 임분(林分)의 직경분포(直徑分布)와 매우 적합(適合)하였다. 그러므로 이 방법(方法)을 응용(應用)하면 임분(林分)의 직경분포(直徑分布)의 추정(推定)은 물론 장래(將來)의 임분구조(林分構造)의 해석(解析)과 예측(豫測)도 쉽게할 수 있다.

• Journal of the Korean Data and Information Science Society
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• 제11권2호
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• pp.303-312
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• 2000

We compare the MLE, UMVUE and Jackknife Estimators for the reliability function of the weibull distribution when the sample size is small.

• 한국국방경영분석학회지
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• 제9권2호
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• pp.39-43
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• 1983

In this paper, we derive the likelihood function for the independent random order statistic whose underlying lifetime distribution is a two parameter Weibull form. For this purpose we first discuss the order statistic which represent a characteristic feature of most life and fatigue tests that they give rise to ordered observations. And, we describe the properties of the underlying Weibull model. The derived likelihood function is essential for establishing the statistical life test plans in the case of Weibull distribution using a likelihood ratio method.

• 한국해양공학회지
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• 제10권2호
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• pp.61-68
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• 1996

Weibull distribution function is applied very successfully to the strength of brittle materials such as ceramics and the weakest link model is applied to explain the ovents. This paper deals with the effect of specimen size on the strength of ceramics. The values of tensile strength were calculated by the Monte-Calro simuation. The tensile strength obtained was plotted on Weibull probabillity papers and represented by the 3-parameter Weibull distribution. The strength distribution function was compared with the theoretical weibull distribution. As a result, it was found that the Weibull shape parameter was changed due to the size and there was a possibility of a false indication as if the weakest link model holds good. We should be very careful when we apply the Weibull statistics to estimate the strength of products.

• Communications for Statistical Applications and Methods
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• 제14권1호
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• pp.93-109
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• 2007

In this paper we study a number of new exponentiated distributions. The survival function, failure rate and moments of the distributions have been derived using certain special functions. The behavior of the failure rate has also been studied.