• Title/Summary/Keyword: Distribution of sample mean

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An Algorithm for Color Object Tracking (색상변화를 갖는 객체추적 알고리즘)

  • Whoang, In-Teck;Choi, Kwang-Nam
    • Journal of Korea Multimedia Society
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    • v.10 no.7
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    • pp.827-837
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    • 2007
  • Conventional color-based object tracking using Mean Shift algorithm does not provide appropriate result when initial color distribution disappears. In this paper we propose a tracking algorithm that updates the object color sample when the color is changing. Mean Shift analysis is first used to derive the object candidate with maximum increase in density direction from current position. The color information of object is updated iteratively. The proposed algorithm achieves accurate tracking of objects when initial color samples are changed and finally disappeared. The validity of the effective approach is illustrated by the experimental results.

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Nonparametric Inference for the Recurrent Event Data with Incomplete Observation Gaps

  • Kim, Jin-Heum;Nam, Chung-Mo;Kim, Yang-Jin
    • The Korean Journal of Applied Statistics
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    • v.25 no.4
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    • pp.621-632
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    • 2012
  • Recurrent event data can be easily found in longitudinal studies such as clinical trials, reliability fields, and the social sciences; however, there are a few observations that disappear temporarily in sight during the follow-up and then suddenly reappear without notice like the Young Traffic Offenders Program(YTOP) data collected by Farmer et al. (2000). In this article we focused on inference for a cumulative mean function of the recurrent event data with these incomplete observation gaps. Defining a corresponding risk set would be easily accomplished if we know the exact intervals where the observation gaps occur. However, when they are incomplete (if their starting times are known but their terminating times are unknown) we need to estimate a distribution function for the terminating times of the observation gaps. To accomplish this, we treated them as interval-censored and then estimated their distribution using the EM algorithm proposed by Turnbull (1976). We proposed a nonparametric estimator for the cumulative mean function and also a nonparametric test to compare the cumulative mean functions of two groups. Through simulation we investigated the finite-sample performance of the proposed estimator and proposed test. Finally, we applied the proposed methods to YTOP data.

Variable Sampling Interval $\bar{X}$ Control Chart Using Weighted Standard Deviation Method (가중표준편차를 이용한 가변표본채취간격 $\bar{X}$ 관리도)

  • Chang, Youngsoon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.1
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    • pp.1-12
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    • 2014
  • This article proposes a variable sampling interval (VSI) $\bar{X}$ control chart using weighted standard deviation (WSD) method for skewed populations. The WSD method decomposes the standard deviation of a quality characteristic into upper and lower deviations and adjusts control limits and warning limits of a control chart in accordance with the direction and degree of skewness. A control chart constant is derived for estimating the standard deviation of skewed distributions with the mean of sample standard deviations. The proposed chart is compared with the conventional VSI $\bar{X}$ control chart under some skewed distributions. Simulation study shows that the proposed WSD VSI chart can control the in-control average time to signal (ATS) as an adequate level better than the conventional VSI chart, and the proposed chart can detect a decrease in the process mean of a quality characteristic following a positively skewed distribution more quickly than the standard VSI chart.

Development of Reliability Acceptance Sampling Plan for the Exponential Lifetime Distribution under Periodic Inspection and Type I Censoring (수명이 지수분포를 따를 때 정기검사 및 정시종결하에서 신뢰성 샘플링검사계획의 개발)

  • 서순근;김갑석
    • Journal of the Korean Operations Research and Management Science Society
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    • v.21 no.1
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    • pp.115-129
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    • 1996
  • A reliability Acceptance Sampling Plan (RASP) is developed for testing the exponential mean lifetime under the periodic (i. e., equally-spaced) inspection and Type I censoring. Under the periodic inspection, the exact sampling distribution of maximum likelihood (ML) estimator of mean can not be derived. Hence sample size and acceptance criterion are determined by the algorithm proposed on the basis of Monte Carlo simulation such that the producer's and consumer's risks are satisfied for given censoring time and number of inspections. In addition, the developed RASP is compared in terms of sampling size, OC curve, and expected completion time. The effects for the RASP by the chosen inspection scheme are also discussed.

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TIDAL DENSITIES OF GLOBULAR CLUSTERS AND THE GALACTIC MASS DISTRIBUTION

  • Lee, Hyung-Mok
    • Journal of The Korean Astronomical Society
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    • v.23 no.2
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    • pp.97-105
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    • 1990
  • The tidal radii of globular clusters reflect the tidal field of the Galaxy. The mass distribution of the Galaxy thus may be obtained if the tidal fields of clusters are well known. Although large amounts of uncertainties in the determination of tidal radii have been obstacles in utilizing this method, analysis of tidal density could give independent check for the Galactic mass distribution. Recent theoretical modeling of dynamical evolution including steady Galactic tidal field shows that the observationally determined tidal radii could be systematically larger by about a factor of 1.5 compared to the theoretical values. From the analysis of entire sample of 148 globular clusters and 7 dwarf spheroidal systems compiled by Webbink (1985), we find that such reduction from observed values would make the tidal density (the mean density within the tidal radius) distribution consistent with the flat rotation curve of our Galaxy out to large distances if the velocity distribution of clusters and dwarf spheroidals with respect to the Galactic center is isotropic.

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On Statistical Inference of Stratified Population Mean with Bootstrap (층화모집단 평균에 대한 붓스트랩 추론)

  • Heo, Tae-Young;Lee, Doo-Ri;Cho, Joong-Jae
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.405-414
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    • 2012
  • In a stratified sample, the sampling frame is divided into non-overlapping groups or strata (e.g. geographical areas, age-groups, and genders). A sample is taken from each stratum, if this sample is a simple random sample it is referred to as stratified random sampling. In this paper, we study the bootstrap inference (including confidence interval) and test for a stratified population mean. We also introduce the bootstrap consistency based on limiting distribution related to the plug-in estimator of the population mean. We suggest three bootstrap confidence intervals such as standard bootstrap method, percentile bootstrap method and studentized bootstrap method. We also suggest a bootstrap test method computing the $ASL_{boot}$(Achieved Significance Level). The results of estimation are verified using simulation.

Goodness-of-fit test for mean and variance functions

  • Jung, Sin-Ho;Lee, Kee-Won
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.199-210
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    • 1997
  • Using regression methods based on quasi-likelihood equation, one only needs to specify the conditional mean and variance functions for the response variable in the analysis. In this paper, an omnibus lack-of-fit test is proposed to test the validity of these two functions. Our test is consistent against the alternative under which either the mean or the variance is not the one specified in the null hypothesis. The large-sample null distribution of our test statistics can be approximated through simulations. Extensive numerical studies are performed to demonstrate that the new test preserves the prescribed type I error probability. Power comparisons are conducted to show the advantage of the new proposal.

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Nanoparticle Synthesis by Pulsed Laser Ablation of Metal Microparticle and Consolidated Sample (금속 마이크로입자 및 압밀 시편의 펄스레이저 어블레이션에 의한 나노입자 합성)

  • Kim, Dong-Sik;Jang, Deok-Suk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.9
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    • pp.1335-1341
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    • 2003
  • This paper describes the process of nanoparticle synthesis by laser ablation of microparticles and consolidated sample. We have generated nanoparticles by high-power pulsed laser ablation of AI, Cu and Ag microparticles using a Q-switched Nd:YAG laser (wavelength 355nm, FWHM 6ns, fluence $0.8{\sim}2.0J/cm^2$). Microparticles of mean diameter $18{\sim}80{\mu}m$ are ablated in the ambient air. The generated nanoparticles are collected on a glass substrate and the size distribution and morphology are examined using a scanning electron microscope and a transmission electron microscope. The effect of laser fluence, collector position and compacting pressure on the distribution of particle size is investigated. To better understand the process of laser ablation of microparticle(LAM), we investigated the Nd: YAG laser-induced breakdown of Cu microparticle using time-resolved optical shadow images. Nanosecond time-resolved images of the ablation process are also obtained by laser flash shadowgraphy. Based on the experimental results, discussions are made on the dynamics of ablation plume.

An Investigation into the Effects of the Work Environment / Occupation on Hiv Related Stigma: A Case of Service Staff in Grahamstown: Eastern Cape, South Africa

  • Mazorodze, Tasara
    • Journal of Distribution Science
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    • v.12 no.5
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    • pp.41-47
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    • 2014
  • Purpose - This paper investigates whether one's occupation influences one's attitude toward people with HIV/AIDS and suggests ways to counter HIV-related stigma in different work settings. Two samples comprising workers in different environments and occupations with contrasting personalities were chosen. Thus, security guards (authoritarian types) and catering workers (social types) were included. Research design, data, and methodology - The sample comprised246 service staff from the Rhodes University Catering Division and the Hi-Tec Security company, both in Grahamstown, South Africa, a small Eastern Cape province town. All employees at these organizations during the survey were eligible to participate. Results -The security sample displays significantly higher personal stigma scores than the catering sample, according to the Visser personal stigma scale (mean scores of 4.01 and 1.37, respectively; t=10.30, df=244, p=0.00). Similar results were found using Visser subscales. Conclusions - This study shows that occupation is a strong predictor of HIV-related stigma in the workplace, suggesting that workplace settings, by attracting particular personalities and influencing workers, may shape attitudes towards those who are HIV positive.

Applications on p-values of Chi-Square Distribution

  • Hong, Chong Sun;Hong, Sung Sick
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.877-887
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    • 2002
  • In this paper, behaviors and properties of p-values for goodness-of-fit test are investigated. With some findings on the p-values, we consider some applications to determine sample size of a survey research using the regression equation based on a pilot study data. Regression equations are obtained by the well-known least squared method, and we find that regression lines could be formulated with only two data points, alternatively. For further studies, this works might be extended to t distributions for testing hypotheses about population mean in order to determine sample size of a prospective study. Also similar arguments could be explored for F test statistics.