• 제목/요약/키워드: Mean expected width

검색결과 37건 처리시간 0.023초

이항자료에 대한 예측구간 (On Prediction Intervals for Binomial Data)

  • 류제복
    • 응용통계연구
    • /
    • 제26권6호
    • /
    • pp.943-952
    • /
    • 2013
  • 신뢰구간 추정에 널리 사용되고 있는 Wald, Agresti-Coull, 그리고 베이지안 방법인 Jeffrey와 Bayes-Laplace를 예측구간에 적용하였다. 네 가지 방법의 수치적 비교를 위해서 포함확률, 평균포함확률, 평균제곱오차의 제곱근, 그리고 평균기대폭을 사용하였다. 비교결과 Wald 방법은 신뢰구간에서와 마찬가지로 예측구간에서도 바람직하지 않았고 신뢰구간에서 선호되던 Agresti-Coull 방법은 예측구간에서는 너무 보수적이라 적절치 않다. 반면에 Jeffrey와 Bayes-Laplace 방법은 적절하였고, 특히 Jeffrey 방법은 신뢰구간의 경우에서와 마찬가지로 예측구간에서도 바람직하였다.

이항자료에 대한 예측구간 (On prediction intervals for binomial data)

  • 류제복
    • 응용통계연구
    • /
    • 제34권4호
    • /
    • pp.579-588
    • /
    • 2021
  • 신뢰구간 추정에 널리 사용되고 있는 Wald, Agresti-Coull, 그리고 베이지안 방법인 Jeffrey와 Bayes-Laplace를 예측구간에 적용하였다. 네 가지 방법의 수치적 비교를 위해서 포함확률, 평균포함확률, 평균제곱오차의 제곱근, 그리고 평균기대폭을 사용하였다. 비교결과 Wald 방법은 신뢰구간에서와 마찬가지로 예측구간에서도 바람직하지 않았고 신뢰구간에서 선호되던 Agresti-Coull 방법은 예측구간에서는 너무 보수적이라 적절치 않다. 반면에 Jeffrey와 Bayes-Laplace 방법은 적절하였고, 특히 Jeffrey 방법은 신뢰구간의 경우에서와 마찬가지로 예측구간에서도 바람직하였다.

Sequential Estimation of variable width confidence interval for the mean

  • Kim, Sung Lai
    • 충청수학회지
    • /
    • 제14권2호
    • /
    • pp.47-54
    • /
    • 2001
  • Let {Xn, n = 1,2,${\cdots}$} be i.i.d. random variables with the only unknown parameters mean ${\mu}$ and variance a ${\sigma}^2$. We consider a sequential confidence interval C1 for the mean with coverage probability 1-${\alpha}$ and expected length of confidence interval $E_{\theta}$(Length of CI)/${\mid}{\mu}{\mid}{\leq}k$ (k : constant) and give some asymptotic properties of the stopping time in various limiting situations.

  • PDF

한강유역의 중소하천에 대한 계획하폭 산정 (Determination of Design Width for Medium Streams in the Han River Basin)

  • 전세진;안태진;박정응
    • 한국수자원학회논문집
    • /
    • 제31권6호
    • /
    • pp.675-684
    • /
    • 1998
  • 본 연구는 한강유역 중소하천 계획하폭 산정공식을 결정하기 위하여 216개 구간의 중소하천에서의 계획홍수량, 유역면적, 하상경사, 실제하폭을 수집한 후, 1) 최소자승법(least squares, LS), 2) 최소중간치자승법(least median squares, LMS) 및 3) 재가중최소자승법(reweighted least squares, RLS)을 이용하여 경험적인 계획 하폭 공식을 결정하였다. 한강유역에서의 기존하폭 산정공식과 비교하기 위하여 계획하폭 산정공식의 형식은 6가지 형으로 고려하였다. 기존하폭공식과 6가지 형의 공식을 평가하기 위하여 평균제곱근오차, 절대평균오차 및 평균오차를 계산하여 비교 검토한 결과, 하폭공식의 형식으로는 본 연구의 하폭-계획홍수량-하상경사로 표현된 공식이 적합한 것으로 나타났다. 본 연구에서 추정된 계획하폭 산정공식은 한강유역 중소하천 설계시 계획하폭 결정의 지표로 적용될 수 있으리라 기대된다.

  • PDF

낮은 이항 비율에 대한 신뢰구간 (Confidence Intervals for a tow Binomial Proportion)

  • 류제복;이승주
    • 응용통계연구
    • /
    • 제19권2호
    • /
    • pp.217-230
    • /
    • 2006
  • 본 연구에서는 낮은 이항비율에 관한 구간추정을 위해서 어떤 신뢰구간이 바람직한지를 살펴보았다. 실제 적으로 희귀질병, 특정 산업재해율, 그리 고 기생충에 관한 실태조사를 위해서 대규모 표본조사가 실시된다. 표본 규모가 크고, 0 < p ${\leq}$ 0.1인 상황에서 모비율 p의 추정에 바람직한 신뢰구간을 살펴보았다. 위의 조건에서 6가지의 신뢰구간들에 대해 평균포함확률과 평균제곱오차의 제곱근, 그리고 평균기대폭을 사용한 결과 Mid-p 신뢰 구간이 가장 바람직하고 다음으로 AC, score와 Jeffrey 신뢰 구간들이 적절한 것으로 밝혀졌다.

황금 분할 마스크를 이용한 대학생 안면의 수평적 분석 (Horizontal Ratio of the Korean University Student's Face and Facial Golden Mask)

  • 이준호;박건욱;김용하
    • Archives of Plastic Surgery
    • /
    • 제35권5호
    • /
    • pp.514-520
    • /
    • 2008
  • Purpose: Many attempts have been made to describe ideal facial proportions for over two thousands year and constantly lasted till now. Dr. Marquardt has derived supposedly ideal facial proportions from the facial golden mask using golden ratio of 1 : 1.618. On the other hand, facial reducing surgeries such as mandible angle reduction are popularized in Asia because the width of mid and lower face of Korean is recognized to be wider. The purpose is to analyze characters of Korean university students' faces in horizontal plane and establish the objective data for facial width distributions and clinical applications. Methods: We applied the facial golden mask to the photographs in 1000 cases, compared the width of mid and lower face between the facial golden mask and Korean university students' faces. And we first calculated the horizontal ratio(HR) of middle and lower face each for using comparative scale of width, facial golden mask. We divided 1,000 cases into 3 groups by degrees of HR and analyzed data of HR on each groups. Using calculated horizontal ratio, we newly invented the cumulative frequency of distribution graphs in Korean university students' faces. Results: Mean data of HR were over 1.0 in all groups, which means that Korean university students' faces are typically wider than facial golden mask in horizontal planes. And this study was statistically significant(p- value < 0.05). Clinically using the cumulative frequency distributions of Korean university students' face width, we can easily explain changes of facial width to patient after facial reducing surgery and describe the changes into objective data. Conclusion: This study concludes thatKorean university students' faces are wider than facial golden mask is significantly true and the cumulative frequency of distribution graphs are expected to be widely used for comparison of results in facial reducing surgery.

민감한 이항특성에 대한 신뢰구간 : 직접질문법과 간접질문법 (Confidence Interval for Sensitive Binomial Attribute : Direct Question Method and Indirect Question Method)

  • 류제복
    • 응용통계연구
    • /
    • 제28권1호
    • /
    • pp.75-82
    • /
    • 2015
  • 본 연구에서는 민감한 이항특성에 대한 신뢰구간 추정에 직접질문법과 간접질문법을 사용한다. 간접질문법으로 응답자들의 응답부담을 줄여주기 위해서 확률장치를 사용하는 Warner (1965)의 확률화응답기법(RRT)을 고려한다. 두 방법에 의한 신뢰구간을 비교하기 위해서 평가기준으로 평균포함확률(MCP), 평균제곱오차의 제곱근(RMSE), 그리고 평균기대폭(MEW)을 사용한다. 수치적 비교 결과 RRT의 MCP가 명목수준()을 크게 초과하여 보수적이고 MEW도 매우 크다. 따라서 이들을 보완해 주어야 실제적으로 간접질문법의 유용성을 높일 수 있다.

Comparison of Lines From Anther and Maternally-derived Dihaploids in Flue-cured Tobacco(Nicotiana tabacum L.)

  • Chung, Yun-Hwa;Keum, Wan-Soo;Choi, Sang-Ju;Cho, Myung-Cho
    • 한국연초학회지
    • /
    • 제21권1호
    • /
    • pp.82-88
    • /
    • 1999
  • The present study was conducted to compare the relative efficiency of two different haploid breeding methods in tobacco varietal development. A single FI hybrid plant from cross of two flue-cured cultivars of Nicotiana tabacum L., Bright Yellow4(BY4) and NC95, was used to develop the 30 anther derived dihaploid (ADH) lines and maternally-derived dihaploid (MDH) lines utilizing Nicotiana africana, respectively. As compared with mid-parent, mean of ADH lines showed increase in number of leaves, delay in days to flower and narrow in width of leaf. However, no significant differences in the other investigated characters were recognized. MDH lines also showed narrow width of leaf, while no significant differences in the other characters were observed. The variations of the investigated characters were generally greater in ADH than MDH lines. MDH lines had higher height of plant and shorter days to flower than ADH lines, while the other characters did not show remarkable differences. The degree of heritability for each of the characters observed between ADH and MDH was almost the same. The characters showing high heritability value were height of plant, number of leaves, days to flower, and yield, while those showing relatively low value were length of leaf, width of leaf, and total alkaloid content. Predicted gains from selection for increased yield were calculated for both populations(ADH, MDH) and correlated responses associated with selection for yield were estimated. Height of plant, width of leaf, days to flower, and concentration of reduceing sugar would be expected to improve with selection for yield much faster in the MDH population than in the ADH.

  • PDF

Comparison of Cone Model Parameters for Halo Coronal Mass Ejections

  • Na, Hyeon-Ock;Moon, Yong-Jae
    • 천문학회보
    • /
    • 제36권2호
    • /
    • pp.96.1-96.1
    • /
    • 2011
  • Halo coronal mass ejections (HCMEs) are major cause of the geomagnetic storms. To minimize the projection effect by coronagraph observations, we consider two CME cone models: an ice-cream cone model and an asymmetric cone model. These models allow us to determine three dimensional parameters of HCMEs such as radial speed, angular width, and the angle between sky plane and cone axis. In this study, we compare these parameters obtained from both models using 50 well-observed HCMEs from 2001 to 2002. Then we obtain the root mean square error (RMS error) between measured projection speeds and estimated ones for the models. As a result, we find that the radial speeds obtained from the models are well correlated with each other (R=0.89), and the correlation coefficient of angular width is 0.68. The correlation coefficient of the angle between sky plane and cone axis is 0.42, which is much smaller than what is expected. The reason may be due to the fact that the source locations of the asymmetric cone model are assumed to be near the center. The average RMS error of the asymmetric cone model (86.2km/s) is slightly smaller than that of the ice-cream cone model (88.6km/s).

  • PDF

연안복합어선의 크기 변화에 따른 어로작업 효율 분석 (Analysis of efficiency of fishing operation by the change in the size of coastal composite fishing boat)

  • 김민선;황보규;장호영
    • 수산해양기술연구
    • /
    • 제56권2호
    • /
    • pp.126-137
    • /
    • 2020
  • This study collected and analyzed the fishing process of existing fishing boat and newly built fishing boat by using the video observation methods to understand the improvement of fishing operation efficiency and safety according to the scale change of coastal composite fishing boat. The fishing operation efficiency was calculated by analyzing the frequency of movement, the movement distance and the moving time per basket used in the fishing process to derive the improvement of the newly built fishing boat compared to the existing fishing boat. It was confirmed that the mean frequency of movements decreased to 13.9%, the average moving time decreased to 21.8%, the mean movement distance increased to 20.5% and the movement through the top of gunwale did not occur. Movement of frequency, increased and time according to the fishing operation were directly affected by the width of side passages and the presence or absence of walking obstruction such as bulwark stay, hatch coaming and fishing gears on deck. The results of this study are expected to be used as basic data for redesigning into a safe and efficient coastal composite fishing boat in the future.