• Title/Summary/Keyword: normal rank

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Reconstruction of missing response data for identification of higher modes

  • Shrikhande, Manish
    • Earthquakes and Structures
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    • v.2 no.4
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    • pp.323-336
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    • 2011
  • The problem of reconstruction of complete building response from a limited number of response measurements is considered. The response at the intermediate degrees of freedom is reconstructed by using piecewise cubic Hermite polynomial interpolation in time domain. The piecewise cubic Hermite polynomial interpolation is preferred over the spline interpolation due to its trend preserving character. It has been shown that factorization of response data in variable separable form via singular value decomposition can be used to derive the complete set of normal modes of the structural system. The time domain principal components can be used to derive empirical transfer functions from which the natural frequencies of the structural system can be identified by peak-picking technique. A reduced-rank approximation for the system flexibility matrix can be readily constructed from the identified mass-orthonormal mode shapes and natural frequencies.

DEFECT INSPECTION IN SEMICONDUCTOR IMAGES USING HISTOGRAM FITTING AND NEURAL NETWORKS

  • JINKYU, YU;SONGHEE, HAN;CHANG-OCK, LEE
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.26 no.4
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    • pp.263-279
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    • 2022
  • This paper presents an automatic inspection of defects in semiconductor images. We devise a statistical method to find defects on homogeneous background from the observation that it has a log-normal distribution. If computer aided design (CAD) data is available, we use it to construct a signed distance function (SDF) and change the pixel values so that the average of pixel values along the level curve of the SDF is zero, so that the image has a homogeneous background. In the absence of CAD data, we devise a hybrid method consisting of a model-based algorithm and two neural networks. The model-based algorithm uses the first right singular vector to determine whether the image has a linear or complex structure. For an image with a linear structure, we remove the structure using the rank 1 approximation so that it has a homogeneous background. An image with a complex structure is inspected by two neural networks. We provide results of numerical experiments for the proposed methods.

SIMPLE RANKED SAMPLING SCHEME: MODIFICATION AND APPLICATION IN THE THEORY OF ESTIMATION OF ERLANG DISTRIBUTION

  • RAFIA GULZAR;IRSA SAJJAD;M. YOUNUS BHAT;SHAKEEL UL REHMAN
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.449-468
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    • 2023
  • This paper deals in the study of the estimation of the parameters of Erlang distribution based on rank set sampling and some of its modifications. Here we considered Maximum Likelihood (ML) and the Bayesian technique to estimate the shape and scale parameter of Erlang distribution based on RSS and its some modifications such as ERSS, MRSS, and MRSSu. The derivation for unknown parameters of Erlang distribution is well presented using normal approximation to the asymptotic distribution of ML estimators. But due to the complexity involves in the integral, the Bayes estimator of unknown parameters is obtained using MCMC method. Further, we compared the MSE of estimation in different sampling schemes with different set sizes and cycle size. A real-life data application is also given to illustrate the efficiency of the proposed scheme.

Depth-Based rank test for multivariate two-sample scale problem

  • Digambar Tukaram Shirke;Swapnil Dattatray Khorate
    • Communications for Statistical Applications and Methods
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    • v.30 no.3
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    • pp.227-244
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    • 2023
  • In this paper, a depth-based nonparametric test for a multivariate two-sample scale problem is proposed. The proposed test statistic is based on the depth-induced ranks and is thus distribution-free. In this article, the depth values of data points of one sample are calculated with respect to the other sample or distribution and vice versa. A comprehensive simulation study is used to examine the performance of the proposed test for symmetric as well as skewed distributions. Comparison of the proposed test with the existing depth-based nonparametric tests is accomplished through empirical powers over different depth functions. The simulation study admits that the proposed test outperforms existing nonparametric depth-based tests for symmetric and skewed distributions. Finally, an actual life data set is used to demonstrate the applicability of the proposed test.

A Study on the Organizational Justice of Fire Service Agency (소방기관의 조직공정성에 관한 연구)

  • Kyong-Jin Park;Hyeon-Gyeong Lee
    • Journal of the Korean Society of Industry Convergence
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    • v.27 no.2_2
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    • pp.363-370
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    • 2024
  • This study is about the organizational justice of fire service agency for organizational commitment and motivation of firefighters. The research data were collected from 355 firefighters nationwide using the On-nara Administrative Work Management System 2.0. The statistical processing method of the research data was analyzed using the statistical program SPSS 28.0. The study results showed that the overall level of firefighters' perception of organizational justice was slightly lower than normal, with an average score of 2.85. Regarding gender, male firefighters were more likely to believe that the organization was injustice than female firefighters. In addition, organizational justice was found to be lower among fire sergeants by rank and first aiders by responsibility.

Effects of Various Formulations on Bioavailability of Acetaminophen Soft Gelatin Capsules in Rabbits (토끼에서 아세트아미노펜 연집캅셀제의 생체이용율에 미치는 제제처방들의 영향)

  • Park, Gee-Bae;Lee, Yong-Suk;Choi, Myung-Ho;Lee, Do-Ik;Lee, Kwang-Pyo
    • YAKHAK HOEJI
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    • v.36 no.6
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    • pp.598-603
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    • 1992
  • The purpose of this study was to assess the effect of three formulations; product A (polyethylene glycol was used as a main dispersing agent), product B (wax mixture was used as a main dispersing agent) and product C(silicon dioxide was used as a main dispersing agent) on bioavailability of acetaminophen soft gelatin capsules(softgels) and to develop an effective acetaminophen softgel which exhibits an excellent bioavailability. Acetaminophen softgels of various formulations were prepared as 4 minim round type by rotary die method. Four softgels of the three formulation (A, B, C), each of which contained 50 mg acetaminophen, were administered orally to 12 normal healthy rabbits using a three-way cross over design. Plasma acetaminophen concentrations were measured by HPLC. The results obtained in this study were as follows: 1. The Tmax rank order of acetaminophen softgel was C$(63.75{\pm}10.62\;min)$>A$(36.25{\pm}5.37\;min)$>B$(35{\pm}6.74\;min)$. 2. The decreasing Cmax order of softgel product was A$(93.51{\pm}0.55\;{\mu}g/ml)$>B$(3.16{\pm}0.37\;{\mu}g/ml)$>C$(2.6{\pm}0.55\;{\mu}g/ml)$. 3. The $[AUC]^{\infty}_0$ rank order for three acetaminophen softgel formulations was A $(14.89{\pm}1.56\;{\mu}g/ml{\cdot}min)$ >B$(14.39{\pm}1.43\;{\mu}g/ml{\cdot}min)$>C$(11.45{\pm}1.49\;{\mu}g/ml{\cdot}min)$. 4. Pharmacokinetic parameters such as Tmax, Cmax and $[AUC]^{\infty}_0$ of product A and B did not differ significantly(p>0.05). On the other hand, those of product C were significantly different(p>0.05).

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Effects of a Recreational Combination Gymnastics Program for Old-old Women (레크리에이션병합 체조프로그램이 후기 여성노인의 체력, 우울, 인지기능 및 삶의 질에 미치는 효과)

  • Choi, Yeon Hee;Lee, Choon Ji
    • Journal of Korean Academy of Nursing
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    • v.42 no.6
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    • pp.843-852
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    • 2012
  • Purpose: In this study a recreational combination gymnastics program was provided for women 75 years of age or older and the effects on physical fitness (grip strength, static balance, ability to do complex movement), depression, cognitive function and quality of life were examined. Methods: A quasi-experimental study employing a nonequivalent control group, pre-post design was conducted. Participants included 53 women elders whose cognitive function was within the normal range. The women were assigned to an experimental group (27) or a control group (26). The intervention was conducted twice a week for a period of 12 weeks. Chi-square test, t-test, paired t-test, Wilcoxon rank sum test and Wilcoxon signed rank test were used for data analysis. Results: Following completion of the program, left grip strength (t=2.17, p=.035), right grip strength (t=2.04, p=.046), static balance (t=-2.18, p=.030), depression (z=-2.88, p=.004), cognitive function (t=3.96, p<.001), and quality of life (t=-3.19, p=.002) were significantly better in the experimental group. Conclusion: Findings from this study indicate that recreational combination gymnastics programs are effective in enhancing physical fitness, cognitive function, and quality of life and in decreasing depression for female elders and could therefore be regarded as positive programs for promotion of physical and mental health for older women.

Simulation analysis of type I error and power for F test and rank transformed F test in $2 times 2$ factorial ANOVA ($2 times 2$ 요인 계획법의 F 검정과 순위 F 검정에 따른 제1종 오류와 검정력 분석에 대한 의태 연구)

  • 최영훈
    • The Korean Journal of Applied Statistics
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    • v.8 no.2
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    • pp.87-97
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    • 1995
  • When there is no main effcts or only one main effect in a $2 \times 2$ factorial design, Type I error rates and power for the rank transformed F test (FR test) for interaction are nearly equal to those of the classical F test. However the power of FR test is quite superior under the exponential distribution rather than the of FR test is quite superior under the exponential distribution rather than the normal distribution. Meanwhile when both main effects are in the model, Type I error rates of FR test, compared with those of F test, decrease as the effect size increases and are dependent on the fashion in which main effects are constructed. In addition, the power of FR test increases as the effect size and the sample size increase and is highly dependent on the manner in which main effects are constructed and the type of population distribution.

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Development of Operating Rule Curve for Multipurpose Water Supply in Heightened Agricultural Reservoir (농업용 둑높임저수지의 다중 용수공급을 위한 이수운영기준곡선 개발)

  • Park, Jong-Yoon;Jung, In-Kyun;Lee, Kwang-Ya;Kim, Seong-Joon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.4
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    • pp.1389-1400
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    • 2013
  • This study developed an operating rule curve (ORC) for multipurpose water supply (irrigation and environmental water) in heightened agricultural reservoir. Among the 20 reservoirs in improvement project of agricultural reservoir dam heightening, the 4 representative reservoirs (Ungyang, Gungchon, Yongam and Unam) were selected for the study according to the analysis of statistical characteristics. Available environmental water supply amounts during irrigation and non-irrigation periods, which is the range from release restricted water level to high water level were estimated by water balance analysis using reservoir operation model. Reliability, resiliency and vulnerability criteria for water system performance were used to assess the multiple water supply capacity. The ORC was presented as the percentile rank for the daily reservoir water level from the results of reservoir operation using the past couple of decades weather data. The water levels for each percentile were divided into 3 buffer sections representing drought (5~25%), normal (25~75%), and flood (75~95%) year to operate the heightened agricultural reservoir with ORC.

A Comparative Study of the Stress Level between Military Wives and Civilian Wies (군인부인과 일반부인의 스트레스 비교)

  • Park, Young-Suk
    • Women's Health Nursing
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    • v.1 no.1
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    • pp.68-80
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    • 1995
  • Housewife plays a significant role in maintaining a health family life. If she can not function adequately due to high stress, it will affect quality of life of the household members. It also interferes with the normal process of family development. Futhermore, dysfunctional family will have effects on morale of the servicemen in military. This is a descriptive study. The main purpose of this study is to compare the level and types of stress between a group of military wives and a group of civilian wives and provide a data which can be used to develop a stress management program. Sample consist with 250 military wives and 250 civilian wives residing in metro Seoul area. Data collection was done during October 4, 1994-November 30, 1994. Stress was measured with the instrument developed by the researcher. The cronbach's ${\alpha}$ score of the instrument was .91. The data was analyzed by using SPSS-PC. The results of this study are : 1. The stress score was 47.09 for military wives, 36.56 for civilian wives. The range of score was 0-192. The stress level of military wives was greater than civilian wives. (t=4.80, P<.000) 2. The rank order of stressors of military wives were 1) move 2) residential environment 3) purchase of house 4) holidays. The rank order of stressors of civilian wives were 1) husband late return after work 2) arguments with husband 3) holidays 4) husband's drinking problem. The result shows that the main stressors of military wives are frequent moves, residential environment, uncertainty of the future, unsafe work environment of husband, and the lack of private life which are all associated with the military. Therefore, it is urgently needed to distribute this facts through military journal to understand the characteristic of the stress of military wives, and to develope appropriate health care program to lessen the stress.

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