• Industrial Engineering and Management Systems
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• v.3 no.2
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• pp.134-139
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• 2004

During the last three decades, a few attentions have been paid for investigating the cost distribution for the optimal maintenance problems. In this article, we derive the moment of the discounted cost distribution over an infinite time horizon for the basic age replacement problem. With first two moments of the discounted cost distribution, we approximate the underlying distribution function by three theoretical distributions. Through a Monte Carlo simulation, we conclude that the log-normal distribution is the best fitted one to approximate the discounted cost distribution.

• Environmental Analysis Health and Toxicology
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• v.17 no.2
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• pp.109-115
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• 2002

This study was conducted to investigate the reference value of mercury (Hg) in liver and kidney of Korean population. The mercury concentration in 244‘sudden and unexpected death’autopsies (male: 180, female: 64) aged from 0 to 87 years was analyzed. The concentration of mercury was measured by atomic absorption spectrophotometer (Perkin-Elmer Model 5100) with mercury/hydride generating system (FIAS 400). The contents of mercury in liver and kidney fitted well the log-normal distribution rather than normal distribution. Geometric mean concentration of mercury in liver and kidney was 0.115 $\mu\textrm{g}$/g wet weight and 0.149 $\mu\textrm{g}$/g wet weight, respectively. Geometric mean concentration of mercury in female was higher than in male (p < 0.01). The mercury content in liver and kidney increased with age up to the forties and slightly decreased there-after. The regression model of mercury deposit in liver and kidney by age was predicted as the following equation : Log LHg : -1.0576＋0.0045$.$Age-0.0001$.$Age$^2$＋0.0873$.$Sex, Log KHg = -1.0576＋0.0152$.$Age-0.0002$.$Age$^2$＋0.1935$.$Sex. The liver burden of mercury was estimated to be 158.3∼161.3 $\mu\textrm{g}$ in male and 163.0∼166.9 $\mu\textrm{g}$ in female. The kidney burden of mercury was estimated to be 42.0∼42.9 $\mu\textrm{g}$ in male and 55.5∼57.1 $\mu\textrm{g}$ in female.

• Journal of the Korean Society of Food Science and Nutrition
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• v.30 no.2
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• pp.204-209
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• 2001

The effects of size distribution of oil particles on the emulsion stability of mayonnaise were studied as follows; The stability of mayonnaise has concerned closely with the viscosity and the size distribution of oil particles. Mostly, if the viscosity was increased, the stability was improved, and the distribution of oil particles was uniform and the less the variation, the more the stability. 75% of oil concentration of sample showed the highest viscosity, also the size of sample was the most uniform, compared to other concentration. Mayonnaise prepared with whole egg was unstable, and the size of oil particles was double larger than the case prepared with only the yolk. Addition of xanthan gum increased, the viscosity and the stability by centrifuge so that the more stable mayonnaise could be prepared. The result of using log-normal density function by Heldmann represented that the normal size of sample adding 0.6%-soluble starch and sample N in non-adding control was increased, while those of sample adding xanthan gum and soluble starch at the same time didn't change.

• Korean Journal of Ecology and Environment
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• v.52 no.1
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• pp.21-27
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• 2019

Analysis of water quality distribution is very important for river water quality management. Recently, various studies have been conducted on the analysis of water quality distribution according to reduction methods of nonpoint pollutant. The objective of this study was to select the probability distributions of water quality constituents (T-N, T-P, COD, SS) according to the farming forms (control, slow release fertilizer, water depth control) during non-storm period in the paddy fields. The field monitoring was conducted monitoring site located in Baeksan-myun, Buan-gun, Jeollabuk-do, Korea during non-storm period from May to September in 2016. Our results showed that there were no differences in water quality among three different farming forms, except for SS of control and water depth control. K-S method was used to analyzed the probability distributions of T-N, T-P, COD and SS concentrations discharged from paddy fields. As a results of the fitness analysis, T-N was not suitable for the normal probability distribution in the slow release fertilizer treatment, and the log-normal probability distribution was not suitable for the T-P in control treatment. The gamma probability distribution showed that T-N and T-P in control and slow release fertilizer treatment were not suitable. The Weibull probability distribution was found to be suitable for all water quality constituents of control, slow release fertilizer, and water depth control treatments. However, our results presented some differences from previous studies. Therefore, it is necessary to analyze the characteristics of pollutants flowing out in difference periods according to various farming types. The result of this study can help to understand the water quality characteristics of the river.

• Communications for Statistical Applications and Methods
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• v.30 no.6
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• pp.605-629
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• 2023

This paper proposes some diagnostics procedures for the skew-t linear regression model with censored response. The skew-t distribution is an attractive family of asymmetrical heavy-tailed densities that includes the normal, skew-normal and student's-t distributions as special cases. Inspired by the power and wide applicability of the EM-type algorithm, local and global influence analysis, based on the conditional expectation of the complete-data log-likelihood function are developed, following Zhu and Lee's approach. For the local influence analysis, four specific perturbation schemes are discussed. Two real data sets, from education and economics, which are right and left censoring, respectively, are analyzed in order to illustrate the usefulness of the proposed methodology.

• Journal of the Korean Society of Safety
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• v.32 no.5
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• pp.115-121
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• 2017

This paper is to introduce the main modeling assumptions and data structures associated with right-censored data to describe the successful methodological ideas for analyzing such a field-failure-data when components operating in different environments. The Kaplan - Meier method is the most popular method used for survival analysis. Together with the log-rank test, it may provide us with an opportunity to estimate survival probabilities and to compare survival between groups. An important advantage of the Kaplan - Meier curve is that the method can take into account some types of censored data, particularly right-censoring. The above non-parametric method was used to verify the equality of parts life used in different environments. After that, we performed the life distribution analysis using the parametric method. We simulated data from three distributions: exponential, normal, and Weibull. This allowed us to compare the results of the estimates to the known true values and to quantify the reliability indices. Here we used the Akaike information criterion to find a suitable life time distribution. If the Akaike information criterion is the smallest, the best model of failure data is presented. In this paper, no-nparametrics and parametrics methods are analyzed using R program which is a popular statistical program.

• The Journal of the Korean life insurance medical association
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• v.3 no.1
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• pp.219-232
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• 1986

A study on establishment of normal range of cardiothoracic ratio calculated from photofluorography film of chest by age and sex in a total of the 6,598 insureds was undertaken. The results were as follows: 1. In male group, the frequency distribution of cardiothoracic ratio was skewed weakly to the right in second decade, symmetrical in third and fourth decade, and was skewed weakly to the left in fifth and sixth decade; in female group, it was skewed weakly to the left in second, third and fourth decade, and was skewed weakly to the right in fifth and sixth decade. 2. On assumption that normal range of cardiothoracic ratio should comprise about 85% of all cardiothoracic ratios in each age group of both sexes, the sites of deviation from mean value of cardiothoracic ratio corresponding to maximum and minimum cardiothoracic ratio in the range of about 85% above mentioned were detected by statistical method on the frequency distribution of log tranformed cardiothoracic ratio, and $M{\pm}1.3$ sindicating normal range of cardiothoracic ratio was determined. In male group, normal range of cardiothoracic ratio determined by statistical method is 35-45%, 40-50%, 40-50%, 40-50% and 40-50% succesively in order from second to sixth decade; in female group, 40-50%, 40-50%, 40-50%, 45-55% and 45-55%.

• Journal of ILASS-Korea
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• v.20 no.3
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• pp.175-180
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• 2015

A series of sprinkler discharging tests was conducted to measure the droplet size and its distribution of residential fire sprinkler heads. Droplet sizes in sprinkler spray were measured using a laser diffraction method for the flush, circular and pendent type sprinkler head. In this study, the $D_{v,50}$ of the flush type sprinkler heads were ranged between $530{\sim}1040{\mu}m$ and those of circular and pendent type were $988{\mu}m$ and $916{\mu}m$, respectively. The measured cumulative volume distributions were followed by a combination of the log-normal and Rosin-Rammler distribution which is widely used in the computational fire analysis and the parameters of distribution function were obtained from the best fit line through the measured data.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.25 no.1
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• pp.9-17
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• 2001

A numerical study has been carried out on the evolution of the particle size distribution for unipolar charged particles that experience coagulation in an alternating electric field. The collision frequency function of charged particles was analytically derived. The log-normal size distribution function is utilized for representing a poly-disperse size distribution and the moments of the particle size distribution are used to solve the general dynamic equation considering only AC electric force effect. The results are compared with the effects of brownian coagulation.

• Proceedings of the KSME Conference
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• 2001.11a
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• pp.272-277
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• 2001

In order to evaluate variation of fatigue data of the LP steam turbine blade steel, it is important to estimate P - S - N curves to accurately define the probability distributions. In this study, new procedure is introduced to determine the expression of P - S - N curves. For this purpose, 3-parameter Weibull distribution was found to be most appropriate among assumed distributions when the probability distributions of the fatigue life were examined by the proposed analysis. Furthermore, parameter estimation for P - S - N curves was performed using various optimization to maximize the correlation coefficient. As a result of this, sequential linear programing method is used for estimation of P - S - N curves.