• 제목/요약/키워드: 평균오차제곱

검색결과 365건 처리시간 0.027초

Weighting Effect on the Weighted Mean in Finite Population (유한모집단에서 가중평균에 포함된 가중치의 효과)

  • Kim, Kyu-Seong
    • Survey Research
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    • 제7권2호
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    • pp.53-69
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    • 2006
  • Weights can be made and imposed in both sample design stage and analysis stage in a sample survey. While in design stage weights are related with sample data acquisition quantities such as sample selection probability and response rate, in analysis stage weights are connected with external quantities, for instance population quantities and some auxiliary information. The final weight is the product of all weights in both stage. In the present paper, we focus on the weight in analysis stage and investigate the effect of such weights imposed on the weighted mean when estimating the population mean. We consider a finite population with a pair of fixed survey value and weight in each unit, and suppose equal selection probability designs. Under the condition we derive the formulas of the bias as well as mean square error of the weighted mean and show that the weighted mean is biased and the direction and amount of the bias can be explained by the correlation between survey variate and weight: if the correlation coefficient is positive, then the weighted mein over-estimates the population mean, on the other hand, if negative, then under-estimates. Also the magnitude of bias is getting larger when the correlation coefficient is getting greater. In addition to theoretical derivation about the weighted mean, we conduct a simulation study to show quantities of the bias and mean square errors numerically. In the simulation, nine weights having correlation coefficient with survey variate from -0.2 to 0.6 are generated and four sample sizes from 100 to 400 are considered and then biases and mean square errors are calculated in each case. As a result, in the case or 400 sample size and 0.55 correlation coefficient, the amount or squared bias of the weighted mean occupies up to 82% among mean square error, which says the weighted mean might be biased very seriously in some cases.

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Optimization of Transmit Power, Receiver Filter, and Access Point Selection (전송전력, 수신필터, 엑세스 포인트 선택 최적화)

  • Oh, Changyoon
    • Proceedings of the Korean Society of Computer Information Conference
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    • 한국컴퓨터정보학회 2021년도 제64차 하계학술대회논문집 29권2호
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    • pp.201-202
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    • 2021
  • 본 논문에서는 다중 엑세스 포인트 환경에서 전송전력, 수신필터, 엑세스 포인트 선정 최적화 알고리즘을 제안한다. 최종목적은 신호대간섭비를 유지하면서, 전송전력의 총합을 최소화하는 것이다. 증명을 통해서 제안하는 알고리즘은 최소전력에 수렴함을 보인다. 제안하는 알고리즘이 기존에 제안되었던 두 개의 알고리즘인 1)전송전력과 최소제곱평균오차(MMSE) 수신필터 최적화 알고리즘, 2) 전송전력 최적화 알고리즘보다 전송전력 소모량에서 성능이 우수함을 실험을 통해서 확인하였다.

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A Study on the Reliability Attributes of the Software Reliability Model Following the Shape Parameter of Minimax Life Distribution (미니맥스 수명분포의 형상모수를 따르는 소프트웨어 신뢰모형에 관한 신뢰속성에 관한 연구)

  • Kim, Hee-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • 제11권4호
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    • pp.325-330
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    • 2018
  • This paper, following the shape parameters of the minimax distribution, describes the special form of the beta distribution, the Minimax distribution, as a function of the shape parameters for the software reliability model based on the non-homogeneous Poisson process. Characteristics and usefulness were discussed. As a result, the case of the shape parameter 1 of Minimax distribution than less than and greate in mean squared error is the smallest, in determination coefficient, appears to be high, the shape parameter 1 of Minimax distribution regard as an efficient model. The estimated determination coefficient of the proposed model is estimated to be more than 95%, which is a useful model in the field of software reliability. Through this study, software design and users can identify the software failure characteristics using mean square error, decision coefficient, and confidence interval can be used as a basic guideline.

Fixed-Width Booth-folding Squarer Design (고정길이 Booth-Folding 제곱기 디자인)

  • Cho Kyung-Ju;Chung Jin-Gyun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제30권8C호
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    • pp.832-837
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    • 2005
  • This paper presents a design method for fixed-width squarer that receives a W-bit input and produces a W-bit squared product. To efficiently compensate for the quantization error, modified Booth encoder signals (not multiplier coefficients) are used for the generation of error compensation bias. The truncated bits are divided into two groups (major/minor group) depending upon their effects on the quantization error. Then, different error compensation methods are applied to each group. By simulations, it is shown that the performance of the proposed method is close to that of the rounding method and much better than that of the truncation method and conventional method. It is also shown that the proposed method leads to up to $28\%\;and\;27\%$ reduction in area and power consumption compared with the ideal squarers, respectively.

Forecasting of Passenger Numbers, Freight Volumes and Optimal Tonnage of Passenger Ship in Mokpo Port (목포항 여객수 및 적정 선복량 추정에 관한 연구)

  • Jang, Woon-Jae;Keum, Jong-Soo
    • Journal of Navigation and Port Research
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    • 제28권6호
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    • pp.509-515
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    • 2004
  • The aim of this paper is to forecast passenger numbers and freight volumes in 2005 and it is proposed optimal tonnage of passenger ship. The forecasting of passenger numbers and freight volumes is important problem in order to determine optimal tonnage of passenger ship, port plan and development. In this paper, the forecasting of passenger numbers and freight volumes are performed by the method of neural network using back-propagation learning algorithm. And this paper compares the forecasting performance of neural networks with moving average method and exponential smooth method As the result of analysis. The forecasting of passenger numbers and freight volumes is that the neural networks performed better than moving average method and exponential smoothing method on the basis of MSE(mean square error) and MAE(mean absolute error).

Selection of bandwidth for local linear composite quantile regression smoothing (국소 선형 복합 분위수 회귀에서의 평활계수 선택)

  • Jhun, Myoungshic;Kang, Jongkyeong;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • 제30권5호
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    • pp.733-745
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    • 2017
  • Local composite quantile regression is a useful non-parametric regression method widely used for its high efficiency. Data smoothing methods using kernel are typically used in the estimation process with performances that rely largely on the smoothing parameter rather than the kernel. However, $L_2$-norm is generally used as criterion to estimate the performance of the regression function. In addition, many studies have been conducted on the selection of smoothing parameters that minimize mean square error (MSE) or mean integrated square error (MISE). In this paper, we explored the optimality of selecting smoothing parameters that determine the performance of non-parametric regression models using local linear composite quantile regression. As evaluation criteria for the choice of smoothing parameter, we used mean absolute error (MAE) and mean integrated absolute error (MIAE), which have not been researched extensively due to mathematical difficulties. We proved the uniqueness of the optimal smoothing parameter based on MAE and MIAE. Furthermore, we compared the optimal smoothing parameter based on the proposed criteria (MAE and MIAE) with existing criteria (MSE and MISE). In this process, the properties of the proposed method were investigated through simulation studies in various situations.

Area-Efficient Squarer and Fixed-Width Squarer Design (저면적 제곱기 및 고정길이 제곱기의 설계)

  • Cho, Kyung-Ju
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • 제48권3호
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    • pp.42-47
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    • 2011
  • The partial product matrix (PPM) of a parallel squarer is symmetric. To reduce the depth of PPM, it can be folded, shifted and rearranged. In this paper, we present an area-efficient squarer design method using new partial product rearrangement. Also, a fixed-width squarer design method of the proposed squarer is presented. By simulations, it is shown that the proposed squarers lead to up to 17% reduction in area, 10% reduction in propagation delay and 10% reduction in power consumption compared with previous squarers. By using the proposed fixed-width squarers, the area, propagation delay and power consumption can be further reduced up to 30%, 16% and 28%, respectively.

A comparison of single charts for non-normal data (비정규성 데이터에 대한 단일 관리도들의 비교)

  • Kang, Myunggoo;Lee, Jangtaek
    • Journal of the Korean Data and Information Science Society
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    • 제26권3호
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    • pp.729-738
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    • 2015
  • In this paper, we compare the robustness to the assumption of normality of the single control charts to control the mean and variance simultaneously. The charts examined were semicircle control chart, max chart and MSE chart with Shewhart individuals control charts. Their in-control and out-of-control performance were studied by simulation combined with computation. We calculated false alarm rate to compare among single charts by changing subgroup size and shifting mean of quality characteristics. It turns out that max chart is more robust than any of the others if the process is in-control. In some cases max chart and MSE chart are more robust than others if the process is out-of-control.

Real-time Confidence interval estimation for Improved accuracy of Ship-inside the anomaly detection (선박내부 이상감지의 정확도 향상을 위한 실시간 신뢰구간 추정)

  • Kim, Yeong-Ju;Heo, yu Kyung;Jeong, Majung-A
    • Proceedings of the Korea Information Processing Society Conference
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    • 한국정보처리학회 2014년도 춘계학술발표대회
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    • pp.721-723
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    • 2014
  • 본 논문은 선박내부의 센서데이터 이상감지를 위해 실시간 신뢰구간을 설정하고 신뢰구간을 초과하거나 미만이 되면 경보를 통해 관리자에게 알려주는 모니터링을 위한 신뢰구간 추정이다. 여기서, 이상 감지 예측의 정확도 향상을 위해 단순지수평활법과 이동평균법의 평균제곱오차를 비교 평가 하였다. 실험결과, 이동평균법의 평균제곱오차가 단순지수평활법 보다 적게 나와 선박 내부 모니터링을 위한 신뢰구간은 이동평균법을 적용하였다.

Estimation of exponent value for Pythagorean method in Korean pro-baseball (한국프로야구에서 피타고라스 지수의 추정)

  • Lee, Jang Taek
    • Journal of the Korean Data and Information Science Society
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    • 제25권3호
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    • pp.493-499
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    • 2014
  • The Pythagorean won-loss formula postulated by James (1980) indicates the percentage of games as a function of runs scored and runs allowed. Several hundred articles have explored variations which improve RMSE by original formula and their fit to empirical data. This paper considers a variation on the formula which allows for variation of the Pythagorean exponent. We provide the most suitable optimal exponent in the Pythagorean method. We compare it with other methods, such as the Pythagenport by Davenport and Woolner, and the Pythagenpat by Smyth and Patriot. Finally, our results suggest that proposed method is superior to other tractable alternatives under criterion of RMSE.