• Title/Summary/Keyword: skewed distribution

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A Study on the Polychlorinated Biphenyls in Human Blood (혈중 PCB 함량에 관한 조사)

  • 김돈균;정갑열;이수일;황인철
    • Journal of Korean Society for Atmospheric Environment
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    • v.1 no.1
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    • pp.9-15
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    • 1985
  • For the purpose of obtaining the index that represents the contaminated status due to polychlorinated biphenyls (PCB) in the human body, the authors investigated the contents of PCB in the plasma of 183 subjects who were not exposured to the massive amount of PCB occupationaly in the past. The obtained results were as follows; 1. The mean contents of PCB in plasma were 3.35 $\pm$ 1.48 ppb in male and 3.04 $\pm$ 1.06 ppb in female. $Cl_4$ and $Cl_3$ were the main isomers in both sexes. 2. The distribution of total-PCB by the age group was showed increasing tendency with the age in both sexes. 3. The tendency of freqyency distribution of total-PCB level were skewed to the higher level in malo and skewed to the lower level in female. 4. There was satistically significant interrelationship between age and total-PCB in plasma in both sexes.

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Modified Ranked Ordering Set Samples for Estimating the Population Mean

  • Kim, Hyun-Gee;Kim, Dong-Hee
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.641-648
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    • 2007
  • We propose the new sampling method, called modified ranked ordering set sampling (MROSS). Kim and Kim (2003) suggested the sign test using the ranked ordering set sampling (ROSS), and showed that the asymptotic relative efficiency (ARE) of ROSS against RSS for sign test increases as sample size does. We propose the estimator for the population mean using MROSS. The relative precision (RP) of estimator of the population mean using MROSS method with respect to the usual estimator using modified RSS is higher, and when the underlying distribution is skewed, the bias of the proposed estimator is smaller than that of several ranked set sampling estimators.

The Approximate MLE in a Skew-Symmetric Laplace Distribution

  • Son, Hee-Ju;Woo, Jung-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.2
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    • pp.573-584
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    • 2007
  • We define a skew-symmetric Laplace distribution by a symmetric Laplace distribution and evaluate its coefficient of skewness. And we derive an approximate maximum likelihood estimator(AME) and a moment estimator(MME) of a skewed parameter in a skew-symmetric Laplace distribution, and hence compare simulated mean squared errors of those estimators. We compare asymptotic mean squared errors of two defined estimators of reliability in two independent skew-symmetric distributions.

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On the Estimation of Parameters in ALT under Generalized Exponential Distribution

  • Yoon, Sang-Chul
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.923-931
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    • 2005
  • The two parameter generalized exponential distribution was recently introduced by Gupta and Kundu (1999). It is observed that the generalized exponential distribution can be used quite effectively to analyze skewed data set. This paper develops the accelerated life test model using generalized exponential distribution and considers maximum likelihood estimation of parameters under the tampered random variable model. To show the performance of proposed maximum likelihood estimates, some simulation will be performed. Using a real data set, an example will be given.

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선형모형에서 오차의 대칭성에 대한 검정과 회귀계수의 추정에 관한 연구

  • 김순옥
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.13-21
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    • 1995
  • 선형모형에서 오차가 대칭인 분포를 따르는지 또는 한쪽으로 치우친(skewed distribution)분포를 따르는지 검정하는 문제를 다루었다. 또 이러한 검정과정을 분석의 예비단계로 하는 회귀계수의 추정방법에 대해서 연구하고, 모의실험을 통해서 회귀계수 추정법들의 효율을 비교하였다.

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Connection Performance of Steel Moment Frame with Out-of-Plane Beam Skew (면외방향 어긋난 보를 갖는 철골모멘트골조의 접합부 성능)

  • Hong, Jong-Kook
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.26 no.2
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    • pp.84-91
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    • 2022
  • This study investigated the behavior of out-of-plane skewed moment connections that were designed as IMFs, as per the Korean standards. A total of 14 finite element models were constructed with the consideration of two types (single- and double-sided connections) and four levels of skew angle (0°, 10°, 20°, and 30°). The results indicated that the skewed connections considered in this study met the acceptance criteria for IMFs given by the codes. However, the load-carrying capacities of skewed connections were decreased as the skew angle increased. For the connection with a skew angle of 30°, the peak load was noted to be 13% less and the energy dissipation capacity could be 26% less than that of non-skewed connection. In addition, because of the skewed nature, the stress distribution in the skewed beam flange near the connection was asymmetric and the stresses were concentrated on the beam inner flange. Column twisting induced by the skewed configuration was very small and negligible in the beam and column combination considered in this study.

An Exponential Indexing Scheme for Broadcast Disk Program in a Single Wireless Channel (단일 무선 채널에서 브로드캐스트 디스크 프로그램을 위한 지수 인덱스 기법)

  • Park, Ki-Young;Jung, Sung-Won
    • Journal of KIISE:Databases
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    • v.35 no.6
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    • pp.518-532
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    • 2008
  • Broadcast scheme has been widely researched for efficient data delivery in the mobile environment because the downlink capacity of a mobile client is much greater than the uplink capacity, and the power of a mobile client is limited. In the proposed scheme, the index lets the client know when data items would be broadcasted and enables the client to minimize the tuning time and power consumption. Single channel index schemes are fit to flat broadcast that performs well when all the broadcasted data items are accessed with the same probability whereas the multi-disk broadcast scheme is proper when the data access distribution is skewed. The existing index schemes, however, cannot work on the Multi-disk broadcast scheme because they cannot point the replicating data items in a broadcast cycle. This paper proposes a Multi-disk Exponential Index (MDEI) which is a single channel index scheme fit to Multi-disk broadcast scheme. Because MDEI scheme organizes a separate index for each disk, it functions with multi-disk broadcast, resulting in a greater reduction of average access latency than that of other flat-broadcast index schemes when the data access distribution is skewed. The performance evaluation showed that MDEI has a good performance when data access distribution is skewed. MDEI has short average access latency and not much average tuning time when the data access distribution is skewed.

A Study on Cost Rate Analysis Methodology of Credit Card Value Proposition (신용카드 부가서비스 요율 분석 방법론에 대한 연구)

  • Lee, Chan-Kyung;Roh, Hyung-Bong
    • Journal of Korean Society for Quality Management
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    • v.46 no.4
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    • pp.797-820
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    • 2018
  • Purpose: It is to seek for an appropriate cost rate analysis methodology of credit card value propositions in Korea. For this issue, it is claimed that methodologies based on probability distribution is more suitable than methodologies based on data-mining. The analysis model constructed for the cost rate estimation is called VCPM model. Methods: The model includes two major variables denoted as S and P. S is monthly credit card usage amount. P stands for the proportion of usage amount at special merchants over the whole monthly usage amount. The distributions assumed for P are positively skewed distributions such as exponential, gamma and lognormal. The major inputs to the model are also derived from S and P, which are E(S) and the aggregate proportion of usage amount at special merchants over the total monthly usage amount. Results: When the credit card's value proposition is general discount, the VCPM model fits well and generates reasonable cost rate(denoted as R). However, it seems that the model does not work well for other types of credit cards. Conclusion: The VCPM model is reliable for calculating cost rate for credit cards with positively skewed distribution of P, which are general discount card. However, another model should be built for cards with other types of distributions of P.

Median Control Chart for Nonnormally Distributed Processes (비정규분포공정에서 매디안특수관리도의 모형설계와 적용연구)

  • 신용백
    • Journal of the Korean Professional Engineers Association
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    • v.20 no.3
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    • pp.15-25
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    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the X-chart, X-chart, X-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart X-chart, which is the most widely used one in Korea, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for tile more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the X-chart, the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the X-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based on a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $X^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the propose4 median chart and the X chart was also performed with these examples and the median chart turned out to be superior to the X-chart.

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Median Control Chart for Nonnormally Distributed Processes (비정규분포공정에서 메디안특수관리도 통용모형설정에 관한 실증적 연구(요약))

  • 신용백
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.10 no.16
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    • pp.101-106
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    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\bar{X}$-chart, $\bar{X}$-chart, $\bar{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart $\bar{X}$-chart. which is the most widely used one in Kora, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the $\bar{X}$-chart; the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the $\bar{X}$-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based oh a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $\chi$$^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the proposed median chart and the $\bar{X}$ chart was also performed with these examples and the median chart turned out to be superior to the $\bar{X}$-chart.

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