• Title/Summary/Keyword: Distribution of sample mean

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Elutriation and Production of Fines in a Fluidized Bed Coal Combustor (석탄유동층연소로에서 분진 발생 및 배출 특성)

  • 장현태;이종일
    • Journal of the Korean Society of Safety
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    • v.11 no.2
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    • pp.96-101
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    • 1996
  • The effects of coal type and mixing fraction of coal on attrition and elutriation were studied in a 15. 5cm diameter fluidized bed coal combustor. The domestic low-grade anthracite coal with heating value 2010kcal/kg and the imported bituminous coal from Australia with heating value of 6520kcal/kg were used as coal sample. It was found from the experimental that the elutriation rate inclosed with an increseing anthracite mixing fraction. The size of elutriated particle had a very wide distribution was found in this experiment. The mean size of elutriated particle increased with decreaseing anthracite mixing fraction.

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ASYMPTOTIC NORMALITY OF ESTIMATOR IN NON-PARAMETRIC MODEL UNDER CENSORED SAMPLES

  • Niu, Si-Li;Li, Qlan-Ru
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.525-539
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    • 2007
  • Consider the regression model $Y_i=g(x_i)+e_i\;for\;i=1,\;2,\;{\ldots},\;n$, where: (1) $x_i$ are fixed design points, (2) $e_i$ are independent random errors with mean zero, (3) g($\cdot$) is unknown regression function defined on [0, 1]. Under $Y_i$ are censored randomly, we discuss the asymptotic normality of the weighted kernel estimators of g when the censored distribution function is known or unknown.

A Design of One-Sided Cumulative Scored Control Chart (단방향 누적점수관리도의 설계)

  • 최인수;이윤동
    • Journal of Korean Society for Quality Management
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    • v.26 no.3
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    • pp.31-45
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    • 1998
  • This paper proposes a method of designing one-sided cumulative scored control charts to control the process mean with a normally distributed quality characteristic. The average run length(ARL) is obtained from the average sample number of sequential probability ratio test(SPRT) on trinomial distribution. Using the analogy between cumulative scored control chart and SPRT for trinomial observations, a procedure is presented to determine three control chart parameters; lower and u, pp.r scoring boundaries and action limit. The parameters are determined by minimizing the ARL when the process is out of control with prespecified ARL when the process is in control.

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Parameter estimation for exponential distribution under progressive type I interval censoring (지수 분포를 따르는 점진 제1종 구간 중도절단표본에서 모수 추정)

  • Shin, Hye-Jung;Lee, Kwang-Ho;Cho, Young-Seuk
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.927-934
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    • 2010
  • In this paper, we introduce a method of parameter estimation of progressive Type I interval censored sample and progressive type II censored sample. We propose a new parameter estimation method, that is converting the data which obtained by progressive type I interval censored, those data be used to estimate of the parameter in progressive type II censored sample. We used exponential distribution with unknown scale parameter, the maximum likelihood estimator of the parameter calculates from the two methods. A simulation is conducted to compare two kinds of methods, it is found that the proposed method obtains a better estimate than progressive Type I interval censoring method in terms of mean square error.

Statistical Estimation of Wind Speed in the Gwangyang-Myodo Region (광양 - 묘도 지역의 통계학적인 풍속 추정)

  • Bae, Yong Gwi;Han, Gwan Mun;Lee, Seong Lo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.2A
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    • pp.197-205
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    • 2008
  • In order to estimate mean wind speed in the Gwangyang-Myodo Region, the probability distribution model of extreme values has been used in the statistical analysis of joint distribution probability of daily maximum wind speed and corresponding direction in this paper. For this purpose frequency of daily maximum records at respective stations is inquired into and sample of largest yearly wind speed of sixteen compass direction and non-direction is extracted from daily data of maximum wind speed and appropriate direction of the meteorological observing stations nearby the bridge construction site. These extreme speed records are applied to Gumbel and Weibull distribution model and parameters are estimated through method of moment and method of least squares etc. And also, distribution and parameters are inquired into whether it is fitted through the probability plot correlation coefficient examination. From fitted parameters the largest yearly wind speed of sixteen compass direction and non-direction is extrapolated taking into account factors regarding sample size of data and distance from the bridge construction site according to the appropriate stations.

A PERMUTATION APPROACH TO THE BEHRENS-FISHER PROBLEM

  • Proschan, Michael-A.;, Dean-A.
    • Journal of the Korean Statistical Society
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    • v.33 no.1
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    • pp.79-97
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    • 2004
  • We propose a permutation approach to the classic Behrens-Fisher problem of comparing two means in the presence of unequal variances. It is motivated by the observation that a paired test is valid whether or not the variances are equal. Rather than using a single arbitrary pairing of the data, we average over all possible pairings. We do this in both a parametric and nonparametric setting. When the sample sizes are equal, the parametric version is equivalent to referral of the unpaired t-statistic to a t-table with half the usual degrees of freedom. The derivation provides an interesting representation of the unpaired t-statistic in terms of all possible pairwise t-statistics. The nonparametric version uses the same idea of considering all different pairings of data from the two groups, but applies it to a permutation test setting. Each pairing gives rise to a permutation distribution obtained by relabeling treatment and control within pairs. The totality of different mean differences across all possible pairings and relabelings forms the null distribution upon which the p-value is based. The conservatism of this procedure diminishes as the disparity in variances increases, disappearing completely when the ratio of the smaller to larger variance approaches 0. The nonparametric procedure behaves increasingly like a paired t-test as the sample sizes increase.

Bias corrected non-response estimation using nonparametric function estimation of super population model (선형 응답률 모형에서 초모집단 모형의 비모수적 함수 추정을 이용한 무응답 편향 보정 추정)

  • Sim, Joo-Yong;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.34 no.6
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    • pp.923-936
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    • 2021
  • A large number of non-responses are occurring in the sample survey, and various methods have been developed to deal with them appropriately. In particular, the bias caused by non-ignorable non-response greatly reduces the accuracy of estimation and makes non-response processing difficult. Recently, Chung and Shin (2017, 2020) proposed an estimator that improves the accuracy of estimation using parametric super-population model and response rate model. In this study, we suggested a bias corrected non-response mean estimator using a nonparametric function generalizing the form of a parametric super-population model. We confirmed the superiority of the proposed estimator through simulation studies.

THE EVOLUTION OF BARYONIC MASS OF ELLIPTICAL GALAXIES IN THE SLOAN DIGITAL SKY SURVEY

  • PENG, TING-HUNG;KOY, CHUNG-MING;TIAN, YONG;CHEN, CHEN-HUNG
    • Publications of The Korean Astronomical Society
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    • v.30 no.2
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    • pp.385-387
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    • 2015
  • Stellar mass is an important parameter of galaxies. We estimate the dynamical mass of an elliptical galaxy by its velocity dispersion and effective radius using the Hernquist model in the framework of MOdified Newtonian Dynamics (MOND). MOND is an alternative theory to the dark matter paradigm. In MOND the dynamical mass is the same as the baryonic mass or luminous mass, and in elliptical galaxies most of the baryons reside in stars. We select elliptical galaxies between redshift 0.05 and 0.5 from the main galaxy sample and the luminous red galaxy sample in the Sloan Digital Sky Survey. We find that the stellar mass-to-light ratio at different redshift epochs can be fitted by a gamma distribution, and its mean is smaller at smaller redshifts.

Observational Constraints on the Formation of the Milky Way's Disk

  • Han, Doori;Lee, Young Sun;Kim, Youngkwang;Beers, Timothy C.
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.2
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    • pp.51.4-52
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    • 2017
  • We present the derived kinematic characteristics of low-${\alpha}$ thin-disk and high-${\alpha}$ thick-disk stars in the Milky Way, investigated with a sample of about 33,900 G- and K-type dwarfs from the Sloan Extension for Galactic Understanding and Exploration (SEGUE). Based on the level of ${\alpha}$-element enhancement as a function of [Fe/H], we separate our sample into thin- and thick-disk stars and then derive mean velocity, velocity dispersion, and velocity gradients for the U, V and W velocity components, respectively, as well as the orbital eccentricity distribution. There are notable gradients in the V velocity over [Fe/H] in both populations: -23 km s-1 dex-1 for the thin disk and +44 km s-1 dex-1 for the thick disk. The velocity dispersion of the thick disk decrease with increasing [Fe/H], while the velocity.

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NBU- $t_{0}$ Class 에 대한 검정법 연구

  • 김환중
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.04a
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    • pp.185-191
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    • 2000
  • A survival variable is a nonnegative random variable X with distribution function F and a survival function (equation omitted)=1-F. This variable is said to be New Better than Used of specified age $t_{0}$ if (equation omitted) for all $\chi$$\geq$0 and a fixed to. We propose the test for $H_{0}$ : (equation omitted) for all $\chi$$\geq$0 against $H_1$:(equation omitted) for all $\chi$$\geq$0 when the specified age $t_{0}$ is unknown but can be estimated from the data when $t_{0}$=${\mu}$, the mean of F, and also when $t_{0}$=$\xi_p$, the pth percentile of F. This test statistic, which is based on a linear function of the order statistics from the sample, is readily applied in the case of small sample. Also, this test statistic is more simple than the test statistic of Ahmad's test statistic (1998). Finally, the performance of this test is presented.

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