• Title/Summary/Keyword: 지수함수분포

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Durability Analysis of Underground Structure based on Limit State Function Considering Carbonation (탄산화 기반의 한계상태함수를 활용한 지하구조물의 내구성 평가)

  • Choo, Jin-Ho;Lee, Tae-Jong;Yoon, Tae-Gook;Lee, Sang-Chul
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.3
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    • pp.69-75
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    • 2014
  • The priority of repair areas are chosen with the probability distribution of 0.3mm wide crack and carbonation induced corrosion. Data is analyzed and evaluated based on the 28 section of Precise Inspection for Safety and Diagnosis (PISD) in seoul. As the crack is distributed in log-normal, the carbonation and cover are in normal distribution. To have rational in repair sections among 503 sheets of underground structure, it is adopted the reliability index as well as the environment factors: strength, sonic speed, $CO_2$ concentration, corrosion, and content of chloride.

A Study on Correlation between Soil Properties and Parameters of Soft Clay in Honam Coastal Region (호남해안지역 연약점토의 토질특성과 제 토질정수와의 상관성에 관한 연구)

  • Kim Jong-Ryeol;Choo Youn-Woo;Kang Hee-Bog;Kim Gyo-Jun;Lee Sang-Hun
    • The Journal of Engineering Geology
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    • v.14 no.4 s.41
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    • pp.371-379
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    • 2004
  • Soil investigation data at 7 different locations around Honam costal region were analyzed and experimental correlations between soil properties and parameters of soft clay were presented. Most soils were classified as CL and CH by the Unified Soil Classification System and were unstable structurally because the water contents were generally greater than the liquid limits. The compression index has good correlations with water content, liquid limit and initial void ratio. The trend of these correlations were similar to the Skempton equation Cc = 0.009(LL -10) and other studies for Korean soft clays but the constants were small different. The slope of these correlations for Honam costal region were slightly greater than those for Kyunggi costal region and Kyungnam costal region. The correlation coefficient (R) between the liquid limit and the plastic index is 0.93. It is seen that not only the water content and the liquid limit but also the water content and the initial void ratio are correlate, therefore the experimental equations were presented for the practical purpose.

Extraction of Soil Wetness Information and Application to Distribution-Type Rainfall-Runoff Model Utilizing Satellite Image Data and GIS (위성영상자료와 GIS를 활용한 토양함수정보 추출 및 분포형 강우-유출 모형 적용)

  • Lee, Jin-Duk;Lee, Jung-Sik;Hur, Chan-Hoe;Kim, Suk-Dong
    • Journal of Korean Society for Geospatial Information Science
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    • v.19 no.3
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    • pp.23-32
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    • 2011
  • This research uses a distributed model, Vflo which can devide subwater shed into square grids and interpret diverse topographic elements which are obtained through GIS processing. To use the distributed model, soil wetness information was extracted through Tasseled Cap transformation from LANDSAT 7 $ETM^+$ satellite data and then they were applied to each cell of the test area, unlike previous studies in which have applied average soil condition of river basin uniformly regardless of space-difference in subwater shed. As a resut of the research, it was ascertained the spatial change of soil wetness is suited to the distributed model in a subwater shed. In addition, we derived out a relation between soil wetness of image collection time and 10 days-preceded rainfall and improved the feasibility of weights obtained by the relation equation.

Testing Exponentiality Based on EDF Statistics for Randomly Censored Data when the Scale Parameter is Unknown (척도모수가 미지인 임의중도절단자료의 EDF 통계량을 이용한 지수 검정)

  • Kim, Nam-Hyun
    • The Korean Journal of Applied Statistics
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    • v.25 no.2
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    • pp.311-319
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    • 2012
  • The simplest and the most important distribution in survival analysis is exponential distribution. Koziol and Green (1976) derived Cram$\acute{e}$r-von Mises statistic's randomly censored version based on the Kaplan-Meier product limit estimate of the distribution function; however, it could not be practical for a real data set since the statistic is for testing a simple goodness of fit hypothesis. We generalized it to the composite hypothesis for exponentiality with an unknown scale parameter. We also considered the classical Kolmogorov-Smirnov statistic and generalized it by the exact same way. The two statistics are compared through a simulation study. As a result, we can see that the generalized Koziol-Green statistic has better power in most of the alternative distributions considered.

Estimation of Site Index Equation for Pinus densiflora at Mt. Osu Region using Schnute Growth Function (Schnute 생장함수를 이용한 오서산지역 소나무림의 지위지수 추정)

  • Pyo, Jung-Kee;Lee, Young-Jin;Son, Yeong-Mo;Lee, Kyeong-Hak;Moon, Hyun-Shik
    • Journal of agriculture & life science
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    • v.43 no.4
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    • pp.9-14
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    • 2009
  • The purpose of this study was to estimate height growth pattern and to derive site index equation for Pinus densiflora grown at Mt. Osu region, Chungnam. A total of 21 repre - sentative trees from the established temporary plots around Boryeng and Cheongyang regions were destructively sampled to measure diameter, height, volume growth per 1-year interval by using of DTRS- 2000 measurement instrument. The Schnute growth function was select ed for height growth prediction using 181 height-age paired observations and derived anamorphic base age invariant site index curves (base index age 30 years). The fitted index and the asymptotic value of Schnute model indicated both 0.96 and 10.8 meter, respectively. The results suggested in this study could be very useful to understand the height growth pattern and productivity of the site quality on Pinus densiflora grown at Mt. Osu region, Chungnam.

Statistical Estimation for Hazard Function and Process Capability Index under Bivariate Exponential Process (이변량 지수 공정 하에서 위험함수와 공정능력지수에 대한 통계적 추정)

  • Cho, Joong-Jae;Kang, Su-Mook;Park, Byoung-Sun
    • Communications for Statistical Applications and Methods
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    • v.16 no.3
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    • pp.449-461
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    • 2009
  • Higher sigma quality level is generally perceived by customers as improved performance by assigning a correspondingly higher satisfaction score. The process capability indices and the sigma level $Z_{st}$ ave been widely used in six sigma industries to assess process performance. Most evaluations on process capability indices focus on statistical estimation under normal process which may result in unreliable assessments of process performance. In this paper, we consider statistical estimation for bivariate VPCI(Vector-valued Process Capability Index) $C_{pkl}=(C_{pklx},\;C_{pklx})$ under Marshall and Olkin (1967)'s bivariate exponential process. First, we derive some limiting distribution for statistical inference of bivariate VPCI $C_{pkl}$. And we propose two asymptotic normal confidence regions for bivariate VPCI $C_{pkl}$. The proposed method may be very useful under bivariate exponential process. A numerical result based on our proposed method shows to be more reliable.

Sigmoid Curve Model for Software Test-Effort Estimation (소프트웨어 시험 노력 추정 시그모이드 모델)

  • Lee, Sang-Un
    • The KIPS Transactions:PartD
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    • v.11D no.4
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    • pp.885-892
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    • 2004
  • Weibull distribution Iincluding Rayleigh and Exponential distribution is a typical model to estimate the effort distribution which is committed to the software testing phase. This model does not represent standpoint that many efforts are committed actually at the test beginning point. Moreover, it does not properly represent the various distribution form of actual test effort. To solve these problems, this paper proposes the Sigmoid model. The sigmoid function to be applicable in neural network transformed into the function which properly represents the test effort of software in the model. The model was verified to the six test effort data which were got from actual software projects which have various distribution form and verified the suitability. The Sigmoid model nay be selected by the alternative of Weibull model to estimate software test effort because it is superior than the Weibull model.

A study of predicting runoff volume applying a two-parameter analytical probabilistic model for South Korea (이변수 해석적 확률모형을 적용한 우리나라 유출량 예측 연구)

  • Lee, Moonyoung;An, Heejin;Jeon, Seol;Kim, Si Yeon;Min, inkyung;Park, Daeryong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.201-201
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    • 2022
  • 본 연구에서는 강우량이 여름에 집중되어있는 우리나라의 강우 특성을 잘 나타낼 수 있는 최적의 확률분포형을 선정하고 해석적 확률모델 (Analytical Probabilistic Model, APM)을 개발하여 유출량을 예측하고자 하였다. 국내 10개 지역인 부산, 춘천, 대구, 대전, 전주, 진주, 서울, 속초, 태백, 원주를 연구 지역으로 설정하였고, 30년 시 단위 강우자료를 지역별 interevent time definition(IETD)을 적용하여 강우 사상으로 그룹화하였다. APM 연구에 일반적으로 사용되는 일변수 지수 분포 이외의 이변수 지수, 감마, 이변수 로그정규 확률밀도함수 (Probability Density Function, PDF)를 강우사상의 특성인 강우량, 강우 지속시간, 무강우 시간의 히스토그램에 적용한 결과, 이 변수 로그정규분포가 우리나라의 강우 특성을 가장 잘 대표하였다. 로그정규분포를 이용하여 APM을 유도하고 유출량을 예측하였다. 예측한 유출량에 대한 빈도분석을 수행하여 Storm Water Management Model (SWMM)의 결과와 비교함으로써 유도한 APM의 적합성을 확인하였다. SWMM의 입력 매개변수 보정을 위해서는 서울 군자 지역에서 관측한 실제 강우량 및 유출량 자료를 사용하였다. 로그정규분포로 유도한 APM과 SWMM의 빈도분석 결과를 비교하였을 때 초과 확률과 재현주기 모두 매우 유사한 결과를 나타내었음을 확인하였다.

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Minimum Density Power Divergence Estimation for Normal-Exponential Distribution (정규-지수분포에 대한 최소밀도함수승간격 추정법)

  • Pak, Ro Jin
    • The Korean Journal of Applied Statistics
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    • v.27 no.3
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    • pp.397-406
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    • 2014
  • The minimum density power divergence estimation has been a popular topic in the field of robust estimation for since Basu et al. (1988). The minimum density power divergence estimator has strong robustness properties with the little loss in asymptotic efficiency relative to the maximum likelihood estimator under model conditions. However, a limitation in applying this estimation method is the algebraic difficulty on an integral involved in an estimation function. This paper considers a minimum density power divergence estimation method with approximated divergence avoiding such difficulty. As an example, we consider the normal-exponential convolution model introduced by Bolstad (2004). The estimated divergence in this case is too complicated; consequently, a Laplace approximation is employed to obtain a manageable form. Simulations and an empirical study show that the minimum density power divergence estimators based on an approximated estimated divergence for the normal-exponential model perform adequately in terms of bias and efficiency.

Application of rip current likelihood distributions on rip current forecast system (이안류 예보를 위한 이안류 발생정도 분포 함수의 적용)

  • Choi, Junwoo
    • Journal of Korea Water Resources Association
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    • v.56 no.8
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    • pp.521-528
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    • 2023
  • An approach for producing a rip current risk index using the rip current likelihood distribution obtained through the FUNWAVE simulations was applied to a rip current forecast system. The approach originally developed for an observation-based real-time rip current warning system was utilized with wave forecast data instead of observations for the rip current forecast system. The availability of the present approach was checked by comparing the observation-based rip current risk index and the wave forecast-based rip current risk index of the Haeundae Beach in 2021.