• Title/Summary/Keyword: 절단분포

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양쪽 절단된 정규분포의 평균과 분산의 추정

  • Choe, Yun-Yeong;Hong, Jong-Seon
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.05a
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    • pp.127-132
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    • 2002
  • 절단된 정규분포의 평균과 분산을 추정하기 위하여 전체 표본에 기초한 최대가능도 추정량을 사용한 방법과 절단된 후에 남아있는 표본만을 고려한 절단된 표본의 표본평균과 표본분산을 시뮬레이션을 통해 비교 연구하였다. 평균을 추정하는 경우에는 놀랍게도 절단된 자료에 기초한 추정량이 전체 표본에 기초한 추정량보다 평균제곱오차가 더 작다는 것을 발견하였다.

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The influence of the random censorship model on the estimation of the scale parameter of the exponential distribution (중도절단모형이 지수분포의 척도모수추정에 미치는 영향)

  • Kim, Namhyun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.2
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    • pp.393-402
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    • 2014
  • The simplest and the most important distribution in survival analysis is the exponential distribution. In this paper, we investigate the influence of the random censorship model on the estimation of the scale parameter of the exponential distribution. The considered random censorship models are Koziol-Green model and the generalized exponential distribution model. Two models have different meanings. Through the simulation study, the averages of the estimated values of the parameter do not show big differences, however the MSE of the estimator tends to be bigger when the supposed model is significantly different from the true model.

Goodness of Fit Tests for the Exponential Distribution based on Multiply Progressive Censored Data (다중 점진적 중도절단에서 지수분포의 적합도 검정)

  • Yun, Hyejeong;Lee, Kyeongjun
    • Journal of the Korean Data Analysis Society
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    • v.20 no.6
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    • pp.2813-2827
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    • 2018
  • Progressive censoring schemes have become quite popular in reliability study. Under progressive censored data, however, some units can be failed between two points of observation with exact times of failure of these units unobserved. For example, loss may arise in life-testing experiments when the failure times of some units were not observed due to mechanical or experimental difficulties. Therefore, multiply progressive censoring scheme was introduced. So, we derives a maximum likelihood estimator of the parameter of exponential distribution. And we introduced the goodness-of-fit test statistics using order statistic and Lorenz curve. We carried out Monte Carlo simulation to compare the proposed test statistics. In addition, real data set have been analysed. In Weibull and chi-squared distributions, the test statistics using Lorenz curve are more powerful than test statistics using order statistics.

Distribution Characteristics of the Incised Meander Cutoff in Gyeonggi and Gangwon Provinces, Central Korea (경기${\cdot}$강원 지역 감입곡류 하천의 곡류절단면 분포 특성)

  • Lee Gwang-Ryul;Yoon Soon-Ock
    • Journal of the Korean Geographical Society
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    • v.39 no.6 s.105
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    • pp.845-862
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    • 2004
  • The aim of this study is to investigate distribution characteristics of incised meander cutoff in Gyeonggi and Gangwon Provinces of Central Korea. The density of meander cutoff is highest in the mountain rivers including Naerin and Dongdae flowing on Jeongseon-gun and Inje-gun of Gangwon Province. Most of meander cutoff process has been occurred repeatedly during the Quaternary period, especially concentrated in the period of climatic change between glacial and interglacial stages. In the aspect of the lithology, the density of cutoff is highest in sedimentary rock, but lowest in igneous rock. As for geological structure, its frequency is high at $11{\sim}20km$ westerly away from the Taebaek Mountains, at subsequent channel, lower part of resequent channel, and channels crossing the fault line. The relation between distance from the Taebaek Mountains and altitude is very obvious at the western side of the Taebaek Mountains. The values of altitude, height from riverbed, and stream order are highest at sedimentary rock and lowest at volcanic rock.

Improved Estimation for Expected Sliding Distance of Caisson Breakwaters by Employment of a Doubly-Truncated Normal Distribution (이중절단정규분포의 적용을 통한 케이슨 방파제 기대활동량 평가의 향상)

  • Kim Tae-Min;Hwang Kyu-Nam;Takayama Tomotsuka
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.17 no.4
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    • pp.221-231
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    • 2005
  • The present study is deeply concerned with the reliability design method(Level III) for caisson breakwaters using expected sliding distance, and the objectives of this study are to propose the employment of a doubly-truncated normal distribution and to present the validity for it. In this study, therefore, the explanations are made for consideration of effects of uncertain factors, and a clear basis that the doubly-truncated normal distribution should be employed in the computation process of expected sliding distance by Monte-Carlo simulation is presented with introduction of the employment method. Even though only caisson breakwaters are treated in this paper, the employment of doubly-truncated normal distribution can be applied to various coastal structures as well as other engineering fields, and therefore it is expected that the present study will be extended in various fields.

Heated temperature and Range of the Oxy-acetylene Cutting Reinforcing Bar by Simulation and Experiment (시뮬레이션과 실험에 의한 산소절단기 절단시 철근의 수열온도 분포)

  • Kim, Bong-Joo;Kim, Jae-Hun;Cho, Byoung-Hoo
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.2
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    • pp.1-5
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    • 2008
  • The object of this experimental and simulation study is to find out heated temperature and range from the Oxy-acetylene cutting point of reinforcing bars (D10, D13, D16, D19, D22, D25 for each cases of SD3O and SD40) in room temperature ($20{\sim}22^{\circ}C$). This cutting is under the condition that a skilled worker cut one bar per a time. The results are these. 1. The temperature of the point 1 of reinforcing bars cut with Oxy-acetylene cutter is over 700$^{\circ}C$ under 1000$^{\circ}C$, but the temperature of the point 2 of reinforcing bars cut with Oxy-acetylene cutter is under 200$^{\circ}C$ 2. The temperature of the point that is apart 2cm from Oxy-acetylene cutting point is not over 200$^{\circ}C$, so reinforcing bars has not transform to be brittle. The results of simulation for temperatures of the each point apart from Oxy-acetylene cutting point is similar to upper experimental results.

Parameter estimation for exponential distribution under progressive type I interval censoring (지수 분포를 따르는 점진 제1종 구간 중도절단표본에서 모수 추정)

  • Shin, Hye-Jung;Lee, Kwang-Ho;Cho, Young-Seuk
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.927-934
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    • 2010
  • In this paper, we introduce a method of parameter estimation of progressive Type I interval censored sample and progressive type II censored sample. We propose a new parameter estimation method, that is converting the data which obtained by progressive type I interval censored, those data be used to estimate of the parameter in progressive type II censored sample. We used exponential distribution with unknown scale parameter, the maximum likelihood estimator of the parameter calculates from the two methods. A simulation is conducted to compare two kinds of methods, it is found that the proposed method obtains a better estimate than progressive Type I interval censoring method in terms of mean square error.

Testing Log Normality for Randomly Censored Data (임의중도절단자료에 대한 로그정규성 검정)

  • Kim, Nam-Hyun
    • The Korean Journal of Applied Statistics
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    • v.24 no.5
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    • pp.883-891
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    • 2011
  • For survival data we sometimes want to test a log normality hypothesis that can be changed into normality by transforming the survival data. Hence the Shapiro-Wilk type statistic for normality is generalized to randomly censored data based on the Kaplan-Meier product limit estimate of the distribution function. Koziol and Green (1976) derived Cram$\acute{e}$r-von Mises statistic's randomly censored version under the simpl hypothesis. These two test statistics are compared through a simulation study. As for the distribution of censoring variables, we consider Koziol and Green (1976)'s model and other similar models. Through the simulation results, we can see that the power of the proposed statistic is higher than that of Koziol-Green statistic and that the proportion of the censored observations (rather than the distribution of censoring variables) has a strong influence on the power of the proposed statistic.

Study on Types and Distributional Properties of Abandoned Channels in Korea (우리나라의 구하도 유형과 분포 특성)

  • Lee, Gwang-Ryul
    • Journal of the Korean Geographical Society
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    • v.46 no.3
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    • pp.304-318
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    • 2011
  • The types, distributional and shape properties of abandoned channels in Korea are classified and examined. There are 409 abandoned channels in Korea and they can be classified into the 6 types such as the incised meander cutoff, stream piracy, distributary, artificial incised meander neck-cutoff, channel straightening of free meander and distributary streams. The abandoned channels by incised meander neck-cutoff showing the most frequency with 266, have the topographical properties of high altitude and steep relief and frequently distribute in Gangwon and Gyeonbuk Province and in the upper reaches of main stream of Nakdong-River, and Dal-River and Pyeongchang-River, tributaries of Namhan-River. The most frequency areas of abandoned channels by distributary, channel straightening of free meander and distributary streams are the lower reaches of Namhan-River and main stream in the lower reaches of Nakdong-River, Mangyeong-River and Yeongsan-River, and Geumho-River, respectively. The abandoned channles by incised meandering neck-cutoff and stream piracy are relatively used as farmlands or forests due to the high altitude and relative altitude from the river bed.