• Title/Summary/Keyword: Statistical terms

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Outlying Cell Identification Method Using Interaction Estimates of Log-linear Models

  • Hong, Chong Sun;Jung, Min Jung
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.291-303
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    • 2003
  • This work is proposed an alternative identification method of outlying cell which is one of important issues in categorical data analysis. One finds that there is a strong relationship between the location of an outlying cell and the corresponding parameter estimates of the well-fitted log-linear model. Among parameters of log-linear model, an outlying cell is affected by interaction terms rather than main effect terms. Hence one could identify an outlying cell by investigating of parameter estimates in an appropriate log-linear model.

On Bounds for Moments of Unimodal Distributions

  • Sharma, R.;Bhandaria, R.
    • Communications for Statistical Applications and Methods
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    • v.21 no.3
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    • pp.201-212
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    • 2014
  • We provide a simple basic method to find bounds for higher order moments of unimodal distributions in terms of lower order moments when the random variable takes value in a given finite real interval. The bounds for moments in terms of the geometric mean of the distribution are also derived. Both continuous and discrete cases are considered. The bounds for the ratio and difference of moments are obtained. The special cases provide refinements of several well-known inequalities, such as Kantorovich inequality and Krasnosel'skii and Krein inequality.

Bootstrap Confidence Intervals for the Reliability Function of an Exponential Distribution

  • Kang, Suk-Bok;Cho, Young-Suk
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.523-532
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    • 1997
  • We propose several estimators of the reliability function R of the two-parameter exponential distribution, and then compare those estimator in terms of the mean square error (MSE) through Monte Carlo method. We also consider the parametric bootstrap estimation. Using the parametric bootstrap estimator, we obtain the bootstrap confidence intervals for reliability function and compare the proposed bootstrap confidence intervals in terms of the length and the coverage probability through Monte Carlo method.

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Recurrence Relations in the Fisher Information in Order Statistics

  • Park, Sang-Un
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.397-402
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    • 1999
  • We first derive the Fisher information identity in order statistics in terms of the hazard rate by considering the Fisher information identity in terms of the hazard rate (Efron and Johnstone, 1990). Then we use the identity and show an interesting and useful result that some identities and recurrence relations for the Fisher information in order statistics can be directly obtained from those between the c.d.f.s of order statistics.

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THE EXPANSION OF MEAN DISTANCE OF BROWNIAN MOTION ON RIEMANNIAN MANIFOLD

  • Kim, Yoon-Tae;Park, Hyun-Suk;Jeon, Jong-Woo
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.37-42
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    • 2003
  • We study the asymptotic expansion in small time of the mean distance of Brownian motion on Riemannian manifolds. We compute the first four terms of the asymptotic expansion of the mean distance by using the decomposition of Laplacian into homogeneous components. This expansion can he expressed in terms of the scalar valued curvature invariants of order 2, 4, 6.

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Selection Problems in terms of Coefficients of Vairiation

  • Park, Chi-Hoon;Jeon, Jong-Woo;Kim, Woo-Chul
    • Journal of the Korean Statistical Society
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    • v.11 no.1
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    • pp.12-24
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    • 1982
  • Selection procedures are proposed for selecting the 'best' industrial process with the smallest fraction defective. For normally distributed industrial processes, this is equivalent to selecting in terms of coefficients of variation. For the case of known vairances, selection procedures by Bechhofer (1954), and Bechhofer and Turnball (1978) are appropriate. We treat this problem for the case of uknown variances with or without reference to a standard. The large sample solutions of design constants are tabulated and the performance of these approximate solutions are investigated.

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The Effects of the Needle Electrode Electrical Stimulation in the Auricular Therapy on the smokers and non-smokers with Low Back Pain (외이에 적용한 침전극저주파치료가 흡연 및 비흡연 요통 환자에게 미치는 효과)

  • Min, Kyung-Ok;Kim, Soon-Hee;Park, Su-Jin
    • Journal of Korean Physical Therapy Science
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    • v.9 no.1
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    • pp.45-52
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    • 2002
  • This study was intended to observe the relationship of pain alleviation between the group with needle electrode electrical stimulation applied on bach of head, lung, nasalis internae, shen-men, pharynx & larynx, and internal secretion which are the pants to regulate smoking and that, with no treatment of the kind among smokers and con-smokers with chronic low back pain. It also aimed to conduct a research of applying different treatment methods according to smoking, thus ultimately providing basic data needed by clinic therapists and to help achieve appropriate treatment effects considering the characteristics of each patient. The subject criteria were men who were in their 40's or 50's, smoking or non-smoking and came to the physical therapy of the hospital to cure the chronic low back pain which had lasted more than three months. The total 24 subjects were randomly divided into four groups according to smoking; the group of smokers with needle electrode electrical stimulation applied, that of smokers with no application of such treatment, that of non-smokers with the action of such treatment, and that of non-smokers with no application of such treatment Each group was measured in terms of four pain assessment methods of visual analogue scale(VAS), verbal rating scale(VRS), McGil pain questionnaire(MPQ), endorphin. And the results were as follows: 1. In terms of the effects of the needle electrode electrical stimulation in the auricular therapy on pain had by the smokers with low back pain, there was a statistical significance in VAS, VRS, and endorphin 1 between before and after the treatment. 2. In terms of the pain effects had by the smokers with low back pain when no needle electrode electrical stimulation in the auricular therapy was applied, there was a statistical significance in VRS and MPQ between before and after the treatment. 3. In terms of the effects of the needle electrode electrical stimulation in the auricular therapy on pain had by the non-smokers with low back pain, there was a statistical significance in VAS, VRS, and MPQ between before and after the treatment. In terms of the pain effects had by the non-smokers with low back pain when no needle electrode electrical stimulation in the auricular was applied, there was a statistical significance in VAS, VRS, and MPQ between before and after the treatment. 5. The smokers with low back pain were given the needle electrode electrical stimulation in the auricular therapy to see how it affected their pain. There was found pain reduction in number, but no statistical significance. 6. The subject suffering from low back pain were given the needle electrode electrical stimulation to see how it affected their pain according to smoking. There was found pain reduction in number, but no statistical significance. Based upon the results, it can be concluded that smokers with low back pain received the more effects of pain alleviation from the application of the needle electrode electrical stimulation in the auricular therapy compared to the rest of the groups who suffered from low back pain.

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A study on the theory for Integrating of Statistical Process Control and Process Adjustmen (통계적 공정관리와 공정조절의 통합을 위한 이론에 대한연구)

  • Jung, Hae-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2005.11a
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    • pp.493-504
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    • 2005
  • Statistical Process Control and Process Adjustment theory is gaining recognition in the process industries where the process frequently experiences a shift mean. This paper aims to study, the theory difference between Statistical Process Control and Process Adjustment in simple terms and presents a case study that demonstrates successful integration of Statistical Process Control and Process Adjustment theory for a product in drifting industry.

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The Cumulants of the Non-normal t Distribution

  • Hwang, Hark
    • Journal of the Korean Statistical Society
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    • v.5 no.2
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    • pp.91-100
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    • 1976
  • The use of the statistic $t = \sqrt{n} (x-\mu)/S$, where $\bar{X) = \sum X_i/n, \mu = E(X_i), S^2 = \sum(X_i-\bar{X})^2/(n-1)$ in statistical inference is usually done under the assumption of normality of the population. If the population is not normally distributed the tabulated values of student t are no longer valid. The moments of t are obtained as a power series in $1/\sqar{n}$ whose coefficients are functions of the cumulants of X. The cumulants are obtained from the moments in the usual manner. The first eight cumulants of t are given up to terms of order $1/n^3$. The first eight cumulants of t are given up to terms of order $1/n^3$. These results extend those of Geary who gave the first six cumulants of t to order $1/n^2$.

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Automatic Term Recognition using Domain Similarity and Statistical Methods (분야간 유사도와 통계기법을 이용한 전문용어의 자동 추출)

  • Oh, Jong-Hoon;Lee, Kyung-Soon;Choi, Key-Sun
    • Journal of KIISE:Software and Applications
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    • v.29 no.4
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    • pp.258-269
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    • 2002
  • There have been many studies of automatic term recognition (ATR) and they have achieved good results. However, there are scopes to improve the performance of extracting terms still further by using the additional technical dictionaries. This paper focuses on the method for extracting terms using the hierarchy among technical dictionaries. Moreover, a statistical method based on frequencies, foreign words, and nested relations assists extracting terms which do not appear in dictionaries. Our method produces relatively good results for this task.