• Title/Summary/Keyword: Lognormal Distribution

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Development of Korean Standard Horizontal Design Spectrum Based on the Domestic and Overseas Intra-plate Earthquake Records (국내외 판내부 지진기록을 이용한 한국 표준수평설계스펙트럼의 개발)

  • Kim, Jae Kwan;Kim, Jung Han;Lee, Jin Ho;Heo, Tae Min
    • Journal of the Earthquake Engineering Society of Korea
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    • v.20 no.6
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    • pp.369-378
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    • 2016
  • The design spectrum for Korea, which is known to belong to an intra-plate region, is developed from the ground motion records of the earthquakes occurred in Korea and overseas intra-plate regions. The horizontal spectrum is defined as geometric mean spectrum, GMRotI50. From the statistical analysis of the geometric mean spectra, a mean plus one standard deviation spectrum in lognormal distribution is obtained. Regression analysis is performed on this curve to determine the shape of spectrum including transition periods. The developed design spectrum is valid for the estimation both spectral acceleration and displacement.

Reliability Assessment Criteria of Power Light Emitting Diodes for Lighting fittings (조명용 Power LED의 신뢰성평가기준)

  • Park, Chang-Kyu;Jeong, Hee-Suk;Jeong, Hai-Sung;Baik, Jai-Wook
    • Journal of Applied Reliability
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    • v.9 no.3
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    • pp.219-231
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    • 2009
  • Power light emitting diodes(LED) for lighting fittings are so much environment-friendly, highly reliable and consume less energy that they are widely used at home and in industries such as electronics, telecommunications and industrial machineries. However, they are exposed to a very diverse environment and consists of complex components and, therefore needs careful approach to the enhancement and assessment of reliability of the item. In this article reliability assessment criteria for LED are established in terms of performance assessment test, reliability assessment test and accelerated test.

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Economic Constant Stress Plans for Accelerated Life Testing (가속수명시험을 위한 경제적 일정스트레스 계획의 개발)

  • Seo, Sun-Keun;Kim, Kap-Seok
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.4
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    • pp.517-526
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    • 1999
  • This paper deals with two economic optimal designs of constant-stress accelerated life test(ALT) where failure distribution follows one of location-scale family, i. e., exponential, Weibull, and lognormal distributions which have been ones of the popular choices of failure distributions. Two optimization criteria to develop ALT plans are the statistical efficiency per unit expected cost which consists of the fixed test cost, cost being proportional to the number of test units, and variable test cost depending on test period and stress level, and the expected loss which combines Taguchi's quadratic loss function and expected test cost. Optimum plan determines the low stress level, test units allocated to each stress, and censoring times at two stress levels under Type I censoring. The proposed ALT plans are illustrated with a numerical example and sensitivity analyses are conducted to study effects of pre-estimates of design parameters.

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Seismic Risk Assessment of Piers Using Fragility Analysis (취약도 분석을 통한 교각의 지진위험도 평가)

  • Lee, Dae-Hyoung;Kim, Hyun-Jun;Park, Chang-Kyu;Chung, Young-Soo
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.261-268
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    • 2006
  • This study represents results of fragility curve development for 3-span continuous bridge. To research the response of bridge under earthquake excitation, Monte Carlo simulation is performed to study nonlinear dynamic analysis. Because of limited number of real time histories from the Korean peninsula, a set of 150 synthetic time histories were generated. Fragility corves in this study are represented by lognormal distribution functions with two parameters and developed as a function of PGA. Five damage states were defined to express the condition of damage based on the actual experimental damage data of bridge column. As a result of this research, the value of damage probability corresponding to each damage state were determined. This approach may be used in constructing the fragility curves for all of bridge structure and, by extension, in constructing the seismic hazard map.

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Experimental study on the fatigue performance of aluminum foam sandwich with 304 stainless steel face-sheet

  • Yan, Chang;Jing, Chuanhe;Song, Xuding
    • Steel and Composite Structures
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    • v.39 no.3
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    • pp.229-241
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    • 2021
  • This work focused on aluminum foam sandwich (AFS) with different foam core densities and different face-sheet thicknesses subjected to constant amplitude three-point bending cyclic loading to study its fatigue performance. The experiments were conducted out by a high frequency fatigue test machine named GPS-100. The experimental results showed that the fatigue life of AFS decreased with the increasing loading level and the structure was sensitive to cyclic loading, especially when the loading level was under 20%. S-N curves of nine groups of AFS specimens were obtained and the fatigue life of AFS followed three-parameter lognormal distribution well. AFS under low cyclic loading showed pronounced cyclic hardening and the static strength after fatigue test increased. For the same loading level, effects of foam core density and face-sheet thickness on the fatigue life of AFS structure were trade-off and for the same loading value, the fatigue life of AFS increased with aluminum foam core density or face-sheet thickness monotonously. Core shear was the main failure mode in the present study.

Use of Probability Distribution of Speed derived from Positioning Data (위치 데이터에서 유도된 속도의 확률분포)

  • On, Kyoung-Woon;Lee, Jun-Seok;Song, Ha Yoon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2013.11a
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    • pp.1092-1095
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    • 2013
  • 오늘날 모바일 스마트 기기의 발전은 위치기반의 새로운 기술을 이끌었다. 현재 위치 데이터를 사용하는 많은 응용프로그램들이 소개되었고, 또한 널리 사용되고 있다. 하지만 아직 이러한 위치 데이터들은 환경적인 요소 등으로 인해 오류가 많다. 우리는 이전 연구에서 위치 데이터의 오류 검출 및 교정 알고리즘을 제안하였다. 또 다른 연구에선 인간의 이동속도가 어떠한 확률분포모델을 따르는지 연구하였다. 그리하여 본 논문에서는 인간의 이동속도의 분포로서 적합하다고 판명된 확률분포모델 중 Lognormal 분포, Gamma 분포, Weibull분포를 선택하여 위치데이터 오류 검출 및 교정 알고리즘에 적용하기 위한 확률분포 계산을 제안한다. 그 중 일부는 계산의 복잡도를 낮추기 위해 확률분포표를 제공할 것이다.

Estimating Door Open Time Distributions for Occupants Escaping from Apartments

  • Hopkin, Charlie;Spearpoint, Michael;Hopkin, Danny;Wang, Yong
    • International Journal of High-Rise Buildings
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    • v.10 no.1
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    • pp.73-83
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    • 2021
  • The door open time, resulting from occupants evacuating from apartments, is an important parameter when assessing the performance of smoke ventilation systems in high-rise apartment buildings. However, the values recommended in UK design guidance appear to have limited substantiation. Monte Carlo simulations have been carried out considering variabilities in door swing time, flow rate and number of occupants. It has been found that the door open time can be represented by a lognormal distribution with a mean of 6.6, 8.7 and 11.1 s and a standard deviation of 1.7, 3.2 and 4.7 s for one, two and three-bedroom apartments, respectively. For deterministic analyses, it is proposed that the 95th percentile values may be adopted in line with recommended practice for other fire safety design parameters such as fuel load density and soot yield, giving door open times of 10 s to 19 s, depending on the number of bedrooms.

Outage Probability Analysis of Macro Diversity Combining Based on Stochastic Geometry (매크로 다이버시티 결합의 확률 기하 이론 기반 Outage 확률 분석)

  • Zihan, Ewaldo;Choi, Kae-Won
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.2
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    • pp.187-194
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    • 2014
  • In this paper, we analyze the outage probability of macro diversity combining in cellular networks in consideration of aggregate interference from other mobile stations (MSs). Different from existing works analyzing the outage probability of macro diversity combining, we focus on a diversity gain attained by selecting a base station (BS) subject to relatively low aggregate interference. In our model, MSs are randomly located according to a Poisson point process. The outage probability is analyzed by approximating the multivariate distribution of aggregate interferences on multiple BSs by a multivariate lognormal distribution.

Estimation of Performance and Pavement Life using National Highway Pavement Condition Index (NHPCI 지표를 활용한 공용성 추정과 수명 산정)

  • Do, Myung-Sik;Lee, Yong-Jun;Lim, Kwang-Su;Kwon, Soo-Ahn
    • International Journal of Highway Engineering
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    • v.14 no.5
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    • pp.11-19
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    • 2012
  • PURPOSES: The new methodology is proposed for estimation of long-term performance and pavement life based on the national highway database in Daejeon area. Furthermore, this study tried to verify the applicability of performance estimation using NHPCI (National Highway Pavement Condition Index) on tendency of pavement deterioration as time goes by under Korean road environments. METHODS: Reliability theories are applied to estimate the mean life and to determine the appropriate distribution using 3 levels of traffic loads (high, medium, low) based on maintenance and rehabilitation history data for 15 years. RESULTS: As a result, Lognormal distribution is suitable for explanation of pavement lifetime in Daejeon area regardless of traffic loads. In addition, we found that the results of mean life and maintenance timing based on NHPCI for the pavement sections of 3 levels of traffic loads are available. CONCLUSIONS: Based on this study, it was found that mean life of high, medium and low levels of traffic loads are about 8.1 years, 12.2 years and 12.7 years, respectively. Higher level of traffic loads shorten the pavement mean life.

A Study on the Trend Change Point of NBUE-property

  • Kim, Dae-Kyung
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.275-282
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    • 1996
  • A life distribution F with survival function $\overline{F}$=1-F, finite mean $\mu$ and mean residual life m(t) is said to be NBUE(NWUE) if m(t)$\leq$($\geq$) .$\mu$ for t$\geq$0. This NBUE property can equivalently be characterized by the fact that $\varphi$(u)$\geq$($\leq$)u for 0$\leq$u$\leq$1, where $\varphi$(u) is the scaled total-time-on test transform of F. A generalization of the NBUE properties is that there is a value of p such that $\varphi$(u)\geq.u$ for 0$\leq$u$\leq$p and $\varphi$(u)\leq$$\leq$u$\leq$1, or vice versa. This means that we have a trend change in the NBUE property. In this paper we point out an error of Klefsjo's paper (1988). He erroneously takes advantage of trend change point of failure rate to calculate the empirical test size and power in lognormal distribution. We solves the trend change point of mean residual lifetime and recalculate the empirical test size and power of Klefsjo (1988) in mocensoring case.

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