• Title/Summary/Keyword: location-scale model

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Higher Order Moments of Record Values From the Inverse Weibull Lifetime Model and Edgeworth Approximate Inference

  • Sultan, K.S.
    • International Journal of Reliability and Applications
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    • v.8 no.1
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    • pp.1-16
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    • 2007
  • In this paper, we derive exact explicit expressions for the triple and quadruple moments of the lower record values from inverse the Weibull (IW) distribution. Next, we present and calculate the coefficients of the best linear unbiased estimates of the location and scale parameters of IW distribution (BLUEs) for different choices of the shape parameter and records size. We then use the higher order moments and the calculated BLUEs to compute the mean, variance, and the coefficients of skewness and kurtosis of certain linear functions of lower record values. By using the coefficients of the skewness and kurtosis, we develop approximate confidence intervals for the location and scale parameters of the IW distribution using Edgeworth approximate values and then compare them with the corresponding intervals constructed through Monte Carlo simulations. Finally, we apply the findings of the paper to some simulated data.

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M-Estimation Functions Induced From Minimum L$_2$ Distance Estimation

  • Pak, Ro-Jin
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.507-514
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    • 1998
  • The minimum distance estimation based on the L$_2$ distance between a model density and a density estimator is studied from M-estimation point of view. We will show that how a model density and a density estimator are incorporated in order to create an M-estimation function. This method enables us to create an M-estimating function reflecting the natures of both an assumed model density and a given set of data. Some new types of M-estimation functions for estimating a location and scale parameters are introduced.

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Damage Detection in Highway Bridges Via Changes in Modal Parameters (진동특성치의 변화를 통한 교량의 손상발견)

  • Kim, Jeong-Tae;Ryu, Yeon-Sun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.87-94
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    • 1995
  • In highway bridges robust damage detection exercises are mandatory to secure the safety of the structures from hostile environmental conditions such as fatigue earthquake, wind, and corrosion. This paper presents a damage detection practice in a full-scale highway bridge by utilizing modal response parameters of as-built and damaged states of the structure. first the test structure is described and modal testing procedures are outlined. Next, a damage detection model which yields information on the location of damage directly from changes in mode shapes is outlined. Finally, the damage detection model is implemented to predict the location of damage in the ten structure. From the results, it was found that the damage detection model accurately locates damage in the test structures for which modal parameters of only a single mode are available for pre-damage (as-built) and post-damage stages.

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Diffuser design for both auditorium and stage acoustics in concert halls (콘서트홀에서 객석과 무대의 음향방사를 위한 확산체 설계)

  • Kim, Jae-Ho;Kim, Yong-Hee;Jeon, Jin-Yong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.25-28
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    • 2008
  • This study investigates the effect of geometrical shape of concert halls, with variation in the shape and location of diffusers. The acoustical characteristics both in the audience area and on the stage 1:50 scale models of shoebox and fan-shaped halls. It was found that the front side walls affect sound diffusion. The 1:50 scale model based on the Boston Symphony Hall was used for monaural impulse response measurements for calculation of RT, EDT, C80, G and ST1. In addition, calculating the numbers and amplitudes of reflection rays were applied to quantify diffusion phenomena.

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Scale effect of mechanical properties of jointed rock mass: A numerical study based on particle flow code

  • Wang, Xiao;Yuan, Wei;Yan, Yatao;Zhang, Xue
    • Geomechanics and Engineering
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    • v.21 no.3
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    • pp.259-268
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    • 2020
  • The synthetic rock mass (SRM) were used to investigate the influence of specimen size on the mechanical properties of jointed rock mass. The SRM were established based on parallel bond model (PBM) and smooth joint model (SJM) and the scaled rock specimens were sampled in two SRMs considering three sampling locations. The research results show that the smaller the initial fracture density is, the greater the uniaxial compressive strength (UCS), elastic modulus (E) is when compared with the same sampling location. The mechanical properties of rock specimens obtained by different sampling methods in different SRMs have different scale effects. The strength of rock specimens with more new cracks is not necessarily less than that of rock specimens with fewer new cracks and the failure of rock is caused by the formation of macro-fracture surface.

Behaviour Characteristics of Tunnel in the Cavity Ground by using Scale Model Tests (축소모형실험을 이용한 공동지반에서의 터널 거동특성)

  • Chung, Jeeseung;Moon, Innki;Yoo, Chanho
    • Journal of the Korean GEO-environmental Society
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    • v.14 no.12
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    • pp.61-69
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    • 2013
  • As construction for road and train tunnel is increasing, various geotechnical conditions can be faced during the construction stage. Especially, if the tunnel is located in limestone area, the cavity is mostly to locate in tunnel planning location. One or some cavities which can be harmful for tunnel safety are predicted. Hence, this study was fulfilled to confirm the influence between tunnel and cavity using laboratory scale down model test and numerical analysis. The scale down model test was carried out to confirm the failure load of the model ground about the interval length of cavity and tunnel and to analyze behaviour characteristics of the model ground on the cavity shape. From the model test result, the failure load decrease in accordance with decreasing of interval length between cavity and tunnel within 0.5D. The numerical analyses were carried out for verification about scale down model test. From the numerical analysis result, tunnel safety decreases in the case of the interval between cavity and tunnel within 0.5D.

Application of a Non-stationary Frequency Analysis Method for Estimating Probable Precipitation in Korea (전국 확률강수량 산정을 위한 비정상성 빈도해석 기법의 적용)

  • Kim, Gwang-Seob;Lee, Gi-Chun
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.5
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    • pp.141-153
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    • 2012
  • In this study, we estimated probable precipitation amounts at the target year (2020, 2030, 2040) of 55 weather stations in Korea using the 24 hour annual maximum precipitation data from 1973 through 2009 which should be useful for management of agricultural reservoirs. Not only trend tests but also non-stationary tests were performed and non-stationary frequency analysis were conducted to all of 55 sites. Gumbel distribution was chosen and probability weighted moment method was used to estimate model parameters. The behavior of the mean of extreme precipitation data, scale parameter, and location parameter were analyzed. The probable precipitation amount at the target year was estimated by a non-stationary frequency analysis using the linear regression analysis for the mean of extreme precipitation data, scale parameter, and location parameter. Overall results demonstrated that the probable precipitation amounts using the non-stationary frequency analysis were overestimated. There were large increase of the probable precipitation amounts of middle part of Korea and decrease at several sites in Southern part. The non-stationary frequency analysis using a linear model should be applicable to relatively short projection periods.

Flame Propagation in a Micro Vessel under Excessive Heat Loss (과도한 열손실을 수반하는 초소형 정적연소실 내 화염전파)

  • Na, Han-Bee;Choi, Kwon-Hyoung;Kwon, Se-Jin
    • 한국연소학회:학술대회논문집
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    • 2002.06a
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    • pp.95-98
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    • 2002
  • A numerical investigation on the flame propagation and extinction in a micro combustor is described. Previous measurements of $H_2-air$ flame propagation in a submilimeter scale combustor exhibited significance of wall effects on burning velocity and extinction. The heat transfer to wall becomes important not only in the cooling of burnt gases but also during the flame ropagation, which has be by and large ignored in macro scale combustor calculations. In order to take the heat loss into account the combustion calculation, we developed a numerical code with a heat transfer model that was determined empirically from measured data. PISO algorithm was used for differencing of conservation equations. $H_2-air$ reaction was modeled with 10 species - 16 steps. Comparison with measured data showed good agreement in flame propagation speed. Also the pressure decrease after flame extinction was accurately predicted by the model. A further study is desirable for a better quenching model that can predict the quenching location.

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A Smooth Goodness-of-fit Test Using Selected Sample Quantiles

  • Umbach, Dale;Masoom Ali, M.
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.347-358
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    • 1996
  • A new test for goodness-of-fit is presented. It is a modification of a test of LaRiccia (1991). These tests are applicable to continuous lo-cation/scale models. The new test statistic is based on a few selected order statistics taken from the sample, while the LaRiccia test is based directly on the full sample. Each test embeds the hypothesized model in a larger linear model and proceeds to test the goodness-of-fit hy-pothesis by testing the coefficients of this linear model appropriately. The general theory is presented. The tests are compared via computer simulation to a related test of Ali and Umbach (1989) for distributions that could be used as lifetime models. An important aspect of all these tests is that only standard $X_2$ tables are used. Selection of the spacings of the order statistics is discussed.

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