• Title/Summary/Keyword: statistical limits

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A Maximal Inequality for Partial Sums of Negatively Associated Sequences

  • Tae Sung Kim;Hye Young Seo;In Bong Choi
    • Communications for Statistical Applications and Methods
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    • v.1 no.1
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    • pp.149-156
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    • 1994
  • For an r > 2 and a finite B, $E\mid max \;1\leq k\leq n \;\sum\limits_{j=m+1}^{m+k}X_j\mid^r\leq Bn^ {\frac{r}{2}}$ (all $n\geq 1$) is obtained for a negatively associated sequence $\{X_j \;:\; j\in N\}$. We also derive the maximal inequelity for a negatively associated sequence. Stationarity is not required.

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ALMOST SURE LIMITS OF SAMPLE ALIGNMENTS IN PROPORTIONAL HAZARDS MODELS

  • Lim Jo-Han;Kim Seung-Jean
    • Journal of the Korean Statistical Society
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    • v.35 no.3
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    • pp.251-260
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    • 2006
  • The proportional hazards model (PHM) can be associated with a non- homogeneous Markov chain (NHMC) in the sense that sample alignments in the PHM correspond to trajectories of the NHMC. As a result the partial likelihood widely used for the PHM is a probabilistic function of the trajectories of the NHMC. In this paper, we show that, as the total number of subjects involved increases, the trajectories of the NHMC, i.e. sample alignments in the PHM, converges to the solution of an ordinary differential equation which, subsequently, characterizes the almost sure limit of the partial likelihood.

On an Approximation for Calculating Multivariate t Orthant Probabilities

  • Hea Jung Kim
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.629-635
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    • 1997
  • An approximation for multivariate t probability for an orhant region(i.e., a rectangular resion with lower limits of $-\infty$ for all margins) is proposed. It is based on conditional expectations, a regression with binary variables, and the exact formula for the evalution of the bivariate t integrals by Dunnett and Sobel. It is noted that the proposed approximation method is espicially useful for evaluating the multivariate t integrals where there is no simple method available until now.

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A Comparision of the Limits of Stability at Different Body Positioning (체위에 따른 균형 안정성 한계의 비교)

  • Jeong, Dong-Hoon;Kwon, Hyuk-Cheol
    • Physical Therapy Korea
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    • v.6 no.1
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    • pp.35-46
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    • 1999
  • The purposes of this study were to evaluate and compare the limits of stability(LOS) at different body positioning(standing and one leg standing) in normal 20 years of age. Fourty subjects participated in the study. Subjects comprised 20 males and 20 females who without neurologic, orthopaedic impairments and balance performance impaired. The LOS was measured at Two Feet Forceplate and One Leg Forceplate with BPM(Balance Performance Monitor) Dataprint Software Version 5.3. The subjects stood 4 inches between the feet at Two Feet Forceplate and stood one legged at One Leg Forceplate. In this study applied the paired t-test and independent t-test to determine the statistical significance of results at 0.01 and 0.05 level of significance. The results of this study were as follows: 1) The anteroposterior LOS significantly increased with one legged stance(p<0.05). 2) The mediolateral LOS significantly decreased with one legged stance(p<0.01). 3) There were significant difference posterior LOS in standing and anterior LOS in one legged stance according to sexual difference(p<0.05). 4) The mediolateral LOS was not significant difference between standing and one legged stance according to sexual difference(p>0.05).

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Measurement reliability of irreversible stress/strain limits in Sn-Cu double layer stabilized IBAD/RCE-DR processed GdBCO coated conductor tapes under uniaxial tension at 77 K

  • Bautista, Zhierwinjay;Diaz, Mark Angelo;Shin, Hyung-Seop;Lee, Jae-Hun
    • Progress in Superconductivity and Cryogenics
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    • v.20 no.4
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    • pp.36-40
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    • 2018
  • In this study, the electromechanical properties in Sn-Cu double layer stabilized GdBCO coated conductor (CC) tapes with and without external lamination under uniaxial tension were examined at 77 K and self-field. Their irreversible stress and strain limits were determined using a loading-unloading scheme based on different critical current ($I_c$) recovery criteria. The repeated tests were performed and statistical estimation was done to check the reproducibility depending on the criterion adopted in evaluating the electromechanical properties. From the results, it showed that the Sn-Cu double-layer stabilized CC tapes have the higher irreversible stress limit, but lower irreversible strain limit as compared to brass laminated ones. Through the repeated tests, it can be found that a small scattering of irreversible limits existed in both CC tape samples. Finally, similar strain sensitivity of $I_c$ in both CC tapes was obtained.

The Monitoring on Gradual Change of Seepage Blocking State with the Hydraulic Head Loss Rate Change According to Passage of time in Sea Dike Embankment (수두손실률의 경시변화에 의한 방조제 제체의 점진적인 차수상태 변화 감시)

  • Eam, Sung Hoon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.57 no.1
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    • pp.1-9
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    • 2015
  • In this study it was adopted on sea dike monitoring that the safety monitoring with statistical limits which was adapted usually on safety monitoring by measuring pressures, stresses or deformations. And also the hydraulic head loss rate change according to passage of time was calculated for the purpose of safety monitoring. Safety monitoring by setting the statistical limit on the measured pore water pressure graphs need to be supplemented with an additional method of monitoring because the difference between the rise and fall of the tide was irregular. Safety monitoring by the limits set from values predicted by linear regression and standard errors on the hydraulic head loss graph was not affected by irregularity of tide. But if the condition of an embankment is changed gradually and slowly, it will not be detected on the hydraulic head loss graph. The graph of hydraulic head loss rate for every 24 hours vs date showed clearly that the sea water blocking state was getting better or not even though it was changed gradually and slowly.

Effects of Parameter Estimation in Phase I on Phase II Control Limits for Monitoring Autocorrelated Data (자기상관 데이터 모니터링에서 일단계 모수 추정이 이단계 관리한계선에 미치는 영향 연구)

  • Lee, Sungim
    • The Korean Journal of Applied Statistics
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    • v.28 no.5
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    • pp.1025-1034
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    • 2015
  • Traditional Shewhart control charts assume that the observations are independent over time. Current progress in measurement and data collection technology lead to the presence of autocorrelated process data that may affect poor performance in statistical process control. One of the most popular charts for autocorrelated data is to model a correlative structure with an appropriate time series model and apply control chart to the sequence of residuals. Model parameters are estimated by an in-control Phase I reference sample since they are usually unknown in practice. This paper deals with the effects of parameter estimation on Phase II control limits to monitor autocorrelated data.

Verification of a computer-aided replica technique for evaluating prosthesis adaptation using statistical agreement analysis

  • Mai, Hang-Nga;Lee, Kyeong Eun;Lee, Kyu-Bok;Jeong, Seung-Mi;Lee, Seok-Jae;Lee, Cheong-Hee;An, Seo-Young;Lee, Du-Hyeong
    • The Journal of Advanced Prosthodontics
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    • v.9 no.5
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    • pp.358-363
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    • 2017
  • PURPOSE. The purpose of this study was to evaluate the reliability of computer-aided replica technique (CART) by calculating its agreement with the replica technique (RT), using statistical agreement analysis. MATERIALS AND METHODS. A prepared metal die and a metal crown were fabricated. The gap between the restoration and abutment was replicated using silicone indicator paste (n = 25). Gap measurements differed in the control (RT) and experimental (CART) groups. In the RT group, the silicone replica was manually sectioned, and the marginal and occlusal gaps were measured using a microscope. In the CART group, the gap was digitized using optical scanning and image superimposition, and the gaps were measured using a software program. The agreement between the measurement techniques was evaluated by using the 95% Bland-Altman limits of agreement and concordance correlation coefficients (CCC). The least acceptable CCC was 0.90. RESULTS. The RT and CART groups showed linear association, with a strong positive correlation in gap measurements, but without significant differences. The 95% limits of agreement between the paired gap measurements were 3.84% and 7.08% of the mean. The lower 95% confidence limits of CCC were 0.9676 and 0.9188 for the marginal and occlusal gap measurements, respectively, and the values were greater than the allowed limit. CONCLUSION. The CART is a reliable digital approach for evaluating the fit accuracy of fixed dental prostheses.

A SEARCH FOR AGN INTRA-DAY VARIABILITY WITH KVN

  • LEE, TAESEOK;TRIPPE, SASCHA;OH, JUNGHWAN;BYUN, DO-YOUNG;SOHN, BONG-WON;LEE, SANG-SUNG
    • Journal of The Korean Astronomical Society
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    • v.48 no.5
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    • pp.313-323
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    • 2015
  • Active galactic nuclei (AGN) are known for irregular variability on all time scales, down to intra-day variability with relative variations of a few percent within minutes to hours. On such short timescales, unexplored territory, such as the possible existence of a shortest characteristic time scale of activity and the shape of the high frequency end of AGN power spectra, still exists. We present the results of AGN single-dish fast photometry performed with the Korean VLBI Network (KVN). Observations were done in a “anti-correlated” mode using two antennas, with always at least one antenna pointing at the target. This results in an effective time resolution of less than three minutes. We used all four KVN frequencies, 22, 43, 86, and 129 GHz, in order to trace spectral variability, if any. We were able to derive high-quality light curves for 3C 111, 3C 454.3, and BL Lacertae at 22 and 43 GHz, and for 3C 279 at 86 GHz, between May 2012 and April 2013. We performed a detailed statistical analysis in order to assess the levels of variability and the corresponding upper limits. We found upper limits on flux variability ranging from ~1.6% to ~7.6%. The upper limits on the derived brightness temperatures exceed the inverse Compton limit by three to six orders of magnitude. From our results, plus comparison with data obtained by the University of Michigan Radio Astronomy Observatory, we conclude that we have not detected source-intrinsic variability which would have to occur at sub-per cent levels.