• 제목/요약/키워드: mean squared error

검색결과 696건 처리시간 0.031초

Estimation of Mean Using Multi Auxiliary Information in Presence of Non Response

  • Kumar, Sunil;Singh, Housila P.
    • Communications for Statistical Applications and Methods
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    • 제17권3호
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    • pp.391-411
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    • 2010
  • For estimating the mean of a finite population, three classes of estimators using multi-auxiliary information with unknown means using two phase sampling in presence of non-response have been proposed with their properties. Asymptotically optimum estimator(AOE) in each class has been identified along with their mean squared error formulae. An empirical study is also given.

Estimation of the Population Mean in Presence of Non-Response

  • Kumar, Sunil;Bhougal, Sandeep
    • Communications for Statistical Applications and Methods
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    • 제18권4호
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    • pp.537-548
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    • 2011
  • In this paper following Singh et al. (2008), we propose a modified ratio-product type exponential estimator to estimate the finite population mean $\={Y}$ of the study variable y in presence of non-response in different situations viz. (i) population mean $\={X}$ is known, and (ii) population mean $\={X}$ is unknown. The expressions of biases and mean squared error of the proposed estimators have been obtained under large sample approximation using single as well as double sampling. Some realistic conditions have been obtained under which the proposed estimator is more efficient than usual unbiased estimators, ratio estimators, product estimators and exponential ratio and product estimators reported by Rao (1986) and Singh et al. (2010) are found to be more efficient in many situations.

ESTIMATING VARIOUS MEASURES IN NORMAL POPULATION THROUGH A SINGLE CLASS OF ESTIMATORS

  • Sharad Saxena;Housila P. Singh
    • Journal of the Korean Statistical Society
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    • 제33권3호
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    • pp.323-337
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    • 2004
  • This article coined a general class of estimators for various measures in normal population when some' a priori' or guessed value of standard deviation a is available in addition to sample information. The class of estimators is primarily defined for a function of standard deviation. An unbiased estimator and the minimum mean squared error estimator are worked out and the suggested class of estimators is compared with these classical estimators. Numerical computations in terms of percent relative efficiency and absolute relative bias established the merits of the proposed class of estimators especially for small samples. Simulation study confirms the excellence of the proposed class of estimators. The beauty of this article lies in estimation of various measures like standard deviation, variance, Fisher information, precision of sample mean, process capability index $C_{p}$, fourth moment about mean, mean deviation about mean etc. as particular cases of the proposed class of estimators.

Logistic Regression Type Small Area Estimations Based on Relative Error

  • Hwang, Hee-Jin;Shin, Key-Il
    • 응용통계연구
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    • 제24권3호
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    • pp.445-453
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    • 2011
  • Almost all small area estimations are obtained by minimizing the mean squared error. Recently relative error prediction methods have been developed and adapted to small area estimation. Usually the estimators obtained by using relative error prediction is called a shrinkage estimator. Especially when data set consists of large range values, the shrinkage estimator is known as having good statistical properties and an easy interpretation. In this paper we study the shrinkage estimators based on logistic regression type estimators for small area estimation. Some simulation studies are performed and the Economically Active Population Survey data of 2005 is used for comparison.

반도체 칩의 높이 측정을 위한 스테레오 비전의 측정값 조정 알고리즘 (Adjustment Algorithms for the Measured Data of Stereo Vision Methods for Measuring the Height of Semiconductor Chips)

  • 김영두;조태훈
    • 반도체디스플레이기술학회지
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    • 제10권2호
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    • pp.97-102
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    • 2011
  • Lots of 2D vision algorithms have been applied for inspection. However, these 2D vision algorithms have limitation in inspection applications which require 3D information data such as the height of semiconductor chips. Stereo vision is a well known method to measure the distance from the camera to the object to be measured. But it is difficult to apply for inspection directly because of its measurement error. In this paper, we propose two adjustment methods to reduce the error of the measured height data for stereo vision. The weight value based model is used to minimize the mean squared error. The average value based model is used with simple concept to reduce the measured error. The effect of these algorithms has been proved through the experiments which measure the height of semiconductor chips.

인지 왜곡 척도를 사용한 프랙탈 영상 압축 (Fractal image compression with perceptual distortion measure)

  • 문용호;박기웅;손경식;김윤수;김재호
    • 한국통신학회논문지
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    • 제21권3호
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    • pp.587-599
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    • 1996
  • In general fractal imge compression, each range block is approximated by a contractive transform of the matching domain block under the mean squared error criterion. In this paper, a distortion measure reflecting the properties of human visual system is defined and applied to a fractal image compression. the perceptual distortion measure is obtained by multiplying the mean square error and the noise sensitivity modeled by using the background brightness and spatial masking. In order to compare the performance of the mean squared error and perceptual distortion measure, a simulation is carried out by using the 512*512 Lena and papper gray image. Compared to the results, 6%-10% compression ratio improvements under improvements under the same image quality are achieved in the perceptual distortion measure.

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에너지 효율적 반복 SIC-MMSE MIMO 검출 (Energy efficient joint iterative SIC-MMSE MIMO detection)

  • 클라우파브리스;아흐메드살림;김수영
    • 한국위성정보통신학회논문지
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    • 제10권1호
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    • pp.22-28
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    • 2015
  • 본 논문에서는 연판정 간섭 소거 최소 자승-오류(soft interference cancellation and minimum mean squared-error; SIC-MMSE) 방법을 이용한 새로운 에너지 효율적 다중안테나(multi-input multi-output; MIMO) 검출 기법을 소개한다. SIC-MMSE 방법의 가장 큰 계산 복잡도는 복소 행렬에 대하여 안테나 개수 만큼의 여러 번 역행렬 계산을 해야 하는데 있다. 본 논문에서는 행렬에 대한 테일러 시리즈 확장(Taylor series expansion) 기법을 이용하여 안테나 개수에 상관없이 단 한번의 역행렬 계산만을 필요로 하는 방법을 제안하며, 이와 같은 방법을 이용하여 계산의 복잡도를 감소시킬 수 있다. 본 논문에서 제안한 기법의 복잡도 감소 효과는 안테나 개수가 증가함에 따라 더 크게 나타난다. 본 논문에서 제시한 시뮬레이션 결과를 통하여 제안한 기법이 기존의 SIC-MMSE 기법에 비하여 더 적은 복잡도로 거의 동일한 성능을 도출할 수 있음을 알 수 있다.

쌍대반응표면최적화를 위한 가중평균제곱오차 최소화법: 공정능력지수 기반의 가중치 결정 (Weighted Mean Squared Error Minimization Approach to Dual Response Surface Optimization: A Process Capability Indices-Based Weighting Procedure)

  • 정인준
    • 품질경영학회지
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    • 제42권4호
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    • pp.685-700
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    • 2014
  • Purpose: The purpose of this paper is to develop a systematic weighting procedure based on process capability indices method applying weighted mean squared error minimization (WMSE) approach to dual response surface optimization. Methods: The proposed procedure consists of 5 steps. Step 1 is to prepare the alternative vectors. Step 2 is to rank the vectors based on process capability indices in a pairwise manner. Step 3 is to transform the pairwise rankings into the inequalities between the corresponding WMSE values. Step 4 is to obtain the weight value by calculating the inequalities. Or, step 5 is to obtain the weight value by minimizing the total violation amount, in case there is no weight value in step 4. Results: The typical 4 process capability indices, namely, $C_p$, $C_{pk}$, $C_{pm}$, $C_{pmk}$ are utilized for the proposed procedure. Conclusion: The proposed procedure can provide a weight value in WMSE based on the objective quality performance criteria, not on the decision maker's subjective judgments or experiences.

고정된 MIMO 환경에서의 최적의 직교 오버레이 시스템 설계 (An Optimal Orthogonal Overlay for Fixed MIMO Wireless Link)

  • 윤여훈;조준호
    • 한국통신학회논문지
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    • 제34권10C호
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    • pp.929-936
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    • 2009
  • 기존의 MIMO 다중 송수신기들이 협대역 flat 채널을 공유하고 있는 환경에서 오버레이 MIMO 시스템의 디자인을 고려한다. 오버레이 시스템의 수신기로 수신되는 기존 시스템 신호의 2nd-order 통계량과 오버레이 송신단으로부터 기존 시스템들의 수신단 사이의 채널이 모두 알려져 있다고 가정한다. 평균 송신 전력 제약과 이미 관심대역을 차지하고 있는 기존 시스템들의 수신단에 간섭을 일으키지 않는다는 제약 아래 오버레이 시스템의 각 수신안테나 출력에서의 데이터 심볼의 평균 제곱 오차 (MSE: mean-squared error)의 합인 전체 MSE를 최소화 하는 최적 오버레이 시스템의 선형 precoding과 decoding 행렬을 유도한다. 최적 해가 존재하기 위한 필요충분 조건 또한 유도하고, 제안된 시스템의 성능에 대한 모의 실험 결과를 제공한다.

Prediction of Academic Performance of College Students with Bipolar Disorder using different Deep learning and Machine learning algorithms

  • Peerbasha, S.;Surputheen, M. Mohamed
    • International Journal of Computer Science & Network Security
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    • 제21권7호
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    • pp.350-358
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    • 2021
  • In modern years, the performance of the students is analysed with lot of difficulties, which is a very important problem in all the academic institutions. The main idea of this paper is to analyze and evaluate the academic performance of the college students with bipolar disorder by applying data mining classification algorithms using Jupiter Notebook, python tool. This tool has been generally used as a decision-making tool in terms of academic performance of the students. The various classifiers could be logistic regression, random forest classifier gini, random forest classifier entropy, decision tree classifier, K-Neighbours classifier, Ada Boost classifier, Extra Tree Classifier, GaussianNB, BernoulliNB are used. The results of such classification model deals with 13 measures like Accuracy, Precision, Recall, F1 Measure, Sensitivity, Specificity, R Squared, Mean Absolute Error, Mean Squared Error, Root Mean Squared Error, TPR, TNR, FPR and FNR. Therefore, conclusion could be reached that the Decision Tree Classifier is better than that of different algorithms.