• 제목/요약/키워드: log-ratio method

검색결과 209건 처리시간 0.028초

Small sample likelihood based inference for the normal variance ratio

  • Lee, Woo Dong
    • Journal of the Korean Data and Information Science Society
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    • 제24권4호
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    • pp.911-918
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    • 2013
  • This study deals with the small sample likelihood based inference for the ratio of two normal variances. The small sample likelihood inference is an approximation method. The signed log-likelihood ratio statistic and the modified signed log-likelihood ratio statistic, which converge to standard normal distribution, are proposed for the normal variance ratio. Through the simulation study, the coverage probabilities of confidence interval and power of the exact, the signed log-likelihood and the modified signed log-likelihood ratio statistic will be compared. A real data example will be provided.

불교란 점토 압밀시험 결과의 새로운 해석법 (A New Analysis Method of the Consolidation Test Data for an Undisturbed Clay)

  • 박종화;고우모또타쯔야
    • 한국농공학회지
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    • 제44권6호
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    • pp.106-114
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    • 2002
  • In this study, the results of a series of consolidation test for undisturbed Ariake clay in Japan were analyzed by three methods, e-log p (e: void ratio, p: consolidation pressure), log e-log p and n-log p (n: porosity). Moreover, the characteristics of each analysis method were studied. For undisturbed Ariake clay, the log o-Log p and the n-log p relationships can be found as two groups of straight lines of different gradients, but both the elastic consolidation and plastic consolidation regions of e-log p relationship are expressed as a curve. In this paper, the porosity of consolidation yield n$\_$y/, consolidation yield stress p$\_$y/, and the gradient of the plastic consolidation region C$\_$p/ were represented by the log e-log p method, and n$\_$c/, P$\_$cn/ and C$\_$cn/ were represented by the n-log p method. The meaning and the relationships of each value were studied, and the interrelationships among compression indices i.e. C$\_$cn/, C$\_$p/ and C$\_$c/ are obtained from each analysis method as a function of initial porosity n$\_$0/.

A CUSUM Chart Based on Log Probability Ratio Statistic

  • Park, Chang-Soon;Kim, Byung-Chun
    • Journal of the Korean Statistical Society
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    • 제19권2호
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    • pp.160-170
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    • 1990
  • A new approximation method is proposed for the ARL of CUSUM chart which is based on the log probability ratio statistic. This method uses the condition of before-stopping time to derive the expectation of excess over boundaries. The proposed method is compared to some other approximation methods in normal and exponential cases.

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Compositional data analysis by the square-root transformation: Application to NBA USG% data

  • Jeseok Lee;Byungwon Kim
    • Communications for Statistical Applications and Methods
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    • 제31권3호
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    • pp.349-363
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    • 2024
  • Compositional data refers to data where the sum of the values of the components is a constant, hence the sample space is defined as a simplex making it impossible to apply statistical methods developed in the usual Euclidean vector space. A natural approach to overcome this restriction is to consider an appropriate transformation which moves the sample space onto the Euclidean space, and log-ratio typed transformations, such as the additive log-ratio (ALR), the centered log-ratio (CLR) and the isometric log-ratio (ILR) transformations, have been mostly conducted. However, in scenarios with sparsity, where certain components take on exact zero values, these log-ratio type transformations may not be effective. In this work, we mainly suggest an alternative transformation, that is the square-root transformation which moves the original sample space onto the directional space. We compare the square-root transformation with the log-ratio typed transformation by the simulation study and the real data example. In the real data example, we applied both types of transformations to the USG% data obtained from NBA, and used a density based clustering method, DBSCAN (density-based spatial clustering of applications with noise), to show the result.

2-Methoxy-5-Nitrophenol 금속착염의 화학적 성질에 관한 연구 (Studies on the Properties of 2-Methoxy-5-Nitrophenol Complex Salts)

  • 김선덕;우세홍;김명운
    • 한국환경보건학회지
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    • 제1권1호
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    • pp.21-27
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    • 1974
  • This work was carried out to investigate the chemical properties of the chelate compounds which were produced with 2-methoxy-5-nitrophenol(MNG) and metal salt such as copper nitrate and manganese nitrate. And obtained results were as in the followings. 1) The binding ratio of the chelate compounds formation were determined by using the molar ratio concentration method and their chemical structures were identified by IR-spectrum. 2) In the absorbance measuring, 2-methoxy-5-nitrophenol coordinated with manganese and copper showed the maximum absorbance at $430 m\mu$ and $410 m\mu$ respectively. 3) The binding ratio of chelated compounds were measured by molar ratio method and continuous variation method with spectrophotometer, which was identified as 1:2. 4) The conditional formation constant(log Kn value) of manganese and copper chelate compounds were 6.70, 6.75, respectively according to the equation of $log\frac{A-AM\circ n MNG}{AMm MNG-A}=n log (M\circ)+log Kn$ 5) The dissociations degree of manganese and copper chelate compound were $2, 300{\times} 10^{-7}$, $2, 346{\times} 10^{-7}$ respectively according to the molar calculation method.

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Heap 병합 병렬 알고리즘 (On the parallel merging algorithm)

  • 민용식
    • 한국음향학회지
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    • 제12권2호
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    • pp.5-13
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    • 1993
  • The purpose of this paper is to suggest and analyze the parallel algorithm for merging two heaps, on SIMD-SM-R parallel computer. In order to create the parallel algorithm for merging two heaps, we have classified two subproblems. For the first method, to select node p as a LEVEL-FIND function, Wyllie(19) suggests the method with time complexity O(log n) while this thesis has O(log(n/k)). For the second method, to merge two subheap, our algorithm has O(log(n/k)*log(n)) using max(2**(i-1), 「(m+1)/4」)'s processors while Dekel and Sahni(4)'s method and Hong's method(18) have O(log m). Also our parallel algorithm's EPU is close to 1 and so has an optimal speed-up ratio.

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Estimation of Log-Odds Ratios for Incomplete $2{\times}2$ Tables with Covariates using FEFI

  • Kang, Shin-Soo;Bae, Je-Min
    • Journal of the Korean Data and Information Science Society
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    • 제18권1호
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    • pp.185-194
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    • 2007
  • The information of covariates are available to do fully efficient fractional imputation(FEFI). The new method, FEFI with logistic regression is proposed to construct complete contingency tables. Jackknife method is used to get a standard errors of log-odds ratio from the completed table by the new method. Simulation results, when covariates have more information about categorical variables, reveal that the new method provides more efficient estimates of log-odds ratio than either multiple imputation(MI) based on data augmentation or complete case analysis.

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Likelihood Based Inference for the Shape Parameter of the Inverse Gaussian Distribution

  • Lee, Woo-Dong;Kang, Sang-Gil;Kim, Dong-Seok
    • Communications for Statistical Applications and Methods
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    • 제15권5호
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    • pp.655-666
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    • 2008
  • Small sample likelihood based inference for the shape parameter of the inverse Gaussian distribution is the purpose of this paper. When shape parameter is of interest, the signed log-likelihood ratio statistic and the modified signed log-likelihood ratio statistic are derived. Hsieh (1990) gave a statistical inference for the shape parameter based on an exact method. Throughout simulation, we will compare the statistical properties of the proposed statistics to the statistic given by Hsieh (1990) in term of confidence interval and power of test. We also discuss a real data example.

Max-Log-MAP을 이용한 Gray 부호화된 PAM 신호의 연판정 계산식 (Soft decision for Gray Coded PAM Signals Using Max-Log-MAP)

  • 현광민;윤동원
    • 한국통신학회논문지
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    • 제31권2C호
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    • pp.117-122
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    • 2006
  • 본 논문에서는 로그 최우비(log likelihood ratio, LLR)를 이용하여 Gray 부호화된 PAM신호를 위한 비트 연판정 계산식을 제안한다. 이 계산식은 Gray 매핑 특성을 이용하여 Max-Log-MAP 알고리듬에서 필요한 max0/min0 함수를 사용하지 않고 산술 연산만을 사용하기 때문에 구현이 간단하다. 제안된 식의 결과는 기존 Max-Log-MAP 알고리듬의 결과와 일치한다. 또한, 식에 사용되는 인자들은 송수신 시스템이 서로 공유하는 정보와 수신된 심벌 값만을 이용하여 계산한다. 따라서 본 논문에서 제안된 알고리듬은 일반적으로 많이 사용하는 이진 반복 복호기 등과 함께 실제 응용 설계에 적용이 가능하며, 특히 실제 설계에 적용되는 기존의 여러 가지 알고리듬에 비하여 구조가 유연하고 효율적이며 정확한 비트별 LLR을 제공하는 효율적인 방법 중의 하나이다.

학교 급식용 친환경 및 일반농법 채소류의 미생물적 품질 비교 (The Microbiological Quality of Environmentally Friendly and Ordinary Agricultural Vegetables Used in a School Foodservices)

  • 김양숙;문혜경
    • 대한영양사협회학술지
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    • 제16권1호
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    • pp.49-61
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    • 2010
  • The purpose of this study was to determine basic information on the microbiological quality of environmentally friendly vegetables used in school foodservices. Comparisons were made on the microbiological quality of eight different kinds of vegetables grown by environmentally friendly agricultural methods and ordinary agricultural methods to determine if there were significant differences. In the raw materials, aerobic plate counts were as follows: lettuce 4.58~7.43 log CFU/g, winter plowing chinese cabbage 5.61~7.36 log CFU/g, Korean leek 5.81 log CFU/g to TNTC (too numerous to Count), cabbage 5.93~6.43 log CFU/g, sesame leaves 3.15~5.23 log CFU/g, cucumber 5.00~5.79 log CFU/g, cherry tomato 2.96~5.40 log CFU/g, paprika 1.30~3.52 log CFU/g. In the comparison of the microbiological quality between environmentally friendly and ordinary agricultural vegetables, their acceptable ratio was the same (81.3%) and the mean aerobic plate counts was not significantly different. In the comparison of the microbiological quality between the leafy vegetables and the fruity vegetables, the fruity vegetables had a 100% acceptable ratio regardless of the agricultural method used to grow them, while the leafy vegetables had an acceptable ratio of 70%. In terms of the aerobic plate counts, the leafy vegetables had significantly higher counts; the leafy vegetables 5.87${\pm}$1.18 log CFU/g, the fruity vegetables 4.12${\pm}$1.54 log CFU/g.