• Title/Summary/Keyword: statistics

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Multivariate Control Charts for Means and Variances with Variable Sampling Intervals

  • Kim, Jae-Joo;Cho, Gyo-Young;Chang, Duk-Joon
    • Journal of Korean Society for Quality Management
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    • v.22 no.1
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    • pp.66-81
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    • 1994
  • Several sample statistics to simultaneously monitor both means and variances for multivariate quality characteristics under multivariate normal process are proposed. Performances of multivariate Shewhart schemes and cumulative sum(CUSUM) schemes are evaluated for matched fixed sampling interval(FSI) and variable sampling interval(VSI) feature. Numerical results show that multivariate CUSUM charts are more efficient than Shewhart charts for small or moderate shifts and VSI feature is more efficient than FSI feature.

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Introduction to the History of Statistics Development in Italy

  • Kim, Joo-Hwan
    • Communications for Statistical Applications and Methods
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    • v.8 no.2
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    • pp.515-530
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    • 2001
  • Recently Korean statistician have more chance to work with other researcher in other countries at international level. Especially the 53rd Scientist meeting of he International Statistical Institute(ISI) will be held in Seoul, Rep. of Korea at Aug 22-29, 2001. The fields of Statistics in Korea have been affected a lot from American Statistical Society. In this research communication, I would like to introduce a short history of he Italian statistical society and their major research topic and outputs. The contents will help us to understand the Italian statistician, and it can be a conner-stone to the future relationship between Korean statistician and Italian statistician.

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A STUDY ON THE EFFECT OF POWER TRANSFORMATION IN SPATIAL STATISTIC ANALYSIS

  • LEE JIN-HEE;SHIN KEY-IL
    • Journal of the Korean Statistical Society
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    • v.34 no.3
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    • pp.173-183
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    • 2005
  • The Box-Cox power transformation is generally used for variance stabilization. Recently, Shin and Kang (2001) showed, under the Box-Cox transformation, invariant properties to the original model under the large mean and relatively small variance assumptions in time series analysis. In this paper we obtain some invariant properties in spatial statistics. Spatial statistics, Invariant Property, Variogram, Box-Cox power Transformation.

Francis Gallon in the History of Statistics

  • Jo, Jae-Keun
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.479-490
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    • 2006
  • Francis Gallon (1822-1911) introduced the term 'regression' and 'correlation' in the study on human inheritance of the stature from parents to their children. In almost every statistics textbook, superficial attentions have been given to him just as the inventor of the term 'regression'. Rereading his books and papers, we investigated problems he had tried to solve and the methods he had used to solve the problems. In addition, we tried to find the motivation that had led Gallon to take attention to the variation rather than the central tendency of observational data that had fascinated his forerunner Adloph Quetelet.

THE CONDITIONAL BOREL-CANTELLI LEMMA AND APPLICATIONS

  • Chen, Qianmin;Liu, Jicheng
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.441-460
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    • 2017
  • In this paper, we establish some conditional versions of the first part of the Borel-Cantelli lemma. As its applications, we study strong limit results of $\mathfrak{F}$-independent random variables sequences, the convergence of sums of $\mathfrak{F}$-independent random variables and the conditional version of strong limit results of the concomitants of order statistics.

Implementation of a Web-Based Electronic Text for High School's Probability and Statistics Education

  • Choi, Sook-Hee
    • Communications for Statistical Applications and Methods
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    • v.11 no.2
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    • pp.329-343
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    • 2004
  • With advancement of computer and network, world wide web(WWW) as a medium of information communication is generalized in many fields. In educational aspect, applications of WWW as alternative media for class teachings or printed matters are increasing. In this article, we demonstrate a web-based electronic text on the 'probability and statistics' which is one of six fields of mathematics in the 7th curriculum. This text places importance on comprehension of concepts of probability and statistics as an applied science.

Small Area Estimation via Nonparametric Mixed Effects Model

  • Jeong, Seok-Oh;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.457-464
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    • 2012
  • Small area estimation is a statistical inference method to overcome the large variance due to the small sample size allocated in a small area. Recently some nonparametric estimators have been applied to small area estimation. In this study, we suggest a nonparametric mixed effect small area estimator using kernel smoothing and compare the small area estimators using labor statistics.

Applied Video Statistics

  • Beek, W.H.M. Van;Cordes, C.N.;Raman, N.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07b
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    • pp.1584-1587
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    • 2005
  • Although the picture quality of today's displays is very good already, a continuous improvement is desirable as the new larger display sizes increase the visibility of artifacts. A contributing factor for picture quality enhancement through smart video processing and algorithm design is the information gathered from video statistics. Interesting parameters gathered from video statistics are e.g. the image- and display load, the usage of the color gamut, the estimated power consumption and the occurrence of static image parts. Examples of applications that can benefit from video statistics are power calculations, color gamut mapping algorithms, dynamic backlight control for LCD panels and LED backlights for LCD panels.

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Invariance Properties for Statistics Based on the Sample Lorenz Curve

  • Kang, Suk-Bok;Cho, Young-Suk
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.3
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    • pp.653-660
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    • 2003
  • In this paper, we prove that the transformed sample Lorenz curve, normalized sample Lorenz curve, and the test statistics for testing of normality based on the normalized sample Lorenz curve and the modified Lorenz curve which were introduced by Kang and Cho (2001a, 2002) are location and scale invariant statistics.

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On the Mathematical Model for the Statistics of W-CDMA Signals (W-CDMA 신호의 통계적 특성에 대한 수학적 모델에 관한 연구)

  • 정철수;김형진;부수일;김철성
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.33-36
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    • 1999
  • This paper proposes a mathematical model for the statistics of the W-CDMA signals with different bandwidth. Based on the statistics of numerically generated signals, a mathematical model is obtained such as Rayleigh, Rician, and Maxwell distribution. We employ Chi-square test to verify the fitness of the mathematical model with signal statistics. The results show obviously that the new proposed model is useful for representing W-CDMA signals.

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