• Title/Summary/Keyword: Under-Sampling

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On OIML Mixed Acceptance Sampling Plans and Optimal Target Value for Products in Prepackages (OIML 혼합 샘플링 검사계획에 대한 고찰과 최적 목표값의 설정 : 실량표시상품을 대상으로)

  • Seo, Sun-Keun
    • Journal of Korean Institute of Industrial Engineers
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    • v.41 no.1
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    • pp.17-24
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    • 2015
  • Mixed acceptance sampling plans for quantity of products in prepackages are widely used for compliance testing. To pass testing, random samples jointly comply with two legal requirements: (i) the average net content of an inspection lot shall be not less than the labelled quantity and (ii) the numbers of under-filled prepackages in a sample are less than or equal to permitted numbers. This paper discusses some drawbacks of the acceptance sampling plans and requirements recommended in OIML R87 (KS A 50087 translated by Korean) developed by the International Organization of Legal Metrology and evaluates the producer's and consumer's risks. In addition, problem of determining a target value in filling processes of prepackages under the OIML R87 requirements is addressed and illustrated with a numerical example.

A New Method for Sampling Inspection by Variables under Undesired Measurement Conditions (불확실한 계측 조건하에 변수에 의한 샘플링 검사를 위한 새로운 방법)

  • 김일수
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.10a
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    • pp.187-193
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    • 1996
  • This paper presents a new approach to modify the traditional method for sampling inspectionby variables to suit undesired measurement conditions. On the basis of a systematic analysis of the effects of measurement errors on different types of acceptance schemes this paper gives two modified equations for revising the sampling size η and the acceptability constant $textsc{k}$ to form a new acceptance scheme (η'$textsc{k}$) under undesired measurement conditions. It has proved that the new method is suitable to different types of sampling inspection by variables including that for mean value and that for percent defective. The new acceptance scheme based on the proposed technique provides an engineering feasibility to replace the traditional scheme to suit undesired measurement conditions.

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Ratio Cum Regression Estimator for Estimating a Population Mean with a Sub Sampling of Non Respondents

  • Kumar, Sunil
    • Communications for Statistical Applications and Methods
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    • v.19 no.5
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    • pp.663-671
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    • 2012
  • In the present study, a combined ratio cum regression estimator is proposed to estimate the population mean of the study variable in the presence of a non-response using an auxiliary variable under double sampling. The expressions of bias and mean squared error(MSE) based on the proposed estimator is derived under double (or two stage) sampling to the first degree of approximation. Some estimators are also derived from the proposed class by allocating the suitable values of constants used. A comparison of the proposed estimator with the usual unbiased estimator and other derived estimators is carried out. An empirical study is carried out to demonstrate the performance of the suggested estimator and of others; it is endow that the empirical results backing the theoretical study.

An Estimator of Population Mean Based on Balanced Systematic Sampling When Both the Sample Size and the Reciprocal of the Sampling Fraction are Odd Numbers

  • Kim, Hyuk-Joo
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.667-677
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    • 2007
  • In this paper, we propose a method for estimating the mean of a population which has a linear trend, when both n, the sample size, and k, the reciprocal of the sampling fraction, are odd numbers. The proposed method, not having the drawbacks of centered systematic sampling, centered modified sampling and centered balanced sampling, consists of selecting a sample by balanced systematic sampling and estimating the population mean by using interpolation. We compare the efficiency of the proposed method and existing methods under the criterion of the expected mean square error based on the infinite superpopulation model.

Ranked-Set Sample Wilcoxon Signed Rank Test For Quantiles Under Equal Allocation

  • Kim, Dong Hee;Kim, Hyun Gee
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.535-543
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    • 2003
  • A ranked set sample version of the sign test is proposed for testing hypotheses concerning the quantiles of a population characteristic by Kaur, et. al(2002). In this paper, we proposed the ranked set sample Wilcoxon signed rank test for quantiles under equal allocation. We obtain the asymptotic property and the asymptotic relative efficiencies of the proposed test statistic with respect to Wilcoxon signed rank test of simple random sample for quantiles under equal allocation. We calculate the ARE of test statistics, the proposed test statistic is more efficient than simple random sampling for all quantiles. The relative advantage of ranked set sampling is greatest at the median and tapers off in the tails.

Design of an improved STT missile digital autopilot with respect to sampling time (샘플링 시간에 대해 개선된 Singular Perturbation 기반 STT missile 디지털 autopilot 설계)

  • 정선태
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.468-471
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    • 1997
  • In this paper, we investigate the time-sampling effects on the digital implementation of singular perturbation based STT autopilot with excellent performance and propose a compensation method for the time-sampling effects. In digitization of analog STT autopilot, it is found that the stability margin of the fast dynamics is mostly affected to lead to rapid decrease. Under the this analysis, a composite digital controller with additional compensator for fast dynamics is proposed to improve the time-sampling effect and a simulation verifies the result.

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Variables Sampling Plans for the Weibull Distribution under Progressive Failure Censoring (점진적 정수 중단 하에서의 와이블분포에 대한 계량형 샘플링검사)

  • Lee, Sang-Ho;Jeon, Chi-Hyeok;Balamurali, S.
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.922-926
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    • 2005
  • Progressively censored variables sampling plans are proposed for the lot acceptance of parts whose life follows Weibull distribution with known shape parameter. Progressive type-II censoring gives us not only time to failure but also degradation information. So, one can construct more flexible and more cost effective sampling plans. Design parameters of our sampling plan are determined by using the usual two-point approach.

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PERTURBATION OF NONHARMONIC FOURIER SERIES AND NONUNIFORM SAMPLING THEOREM

  • Park, Hee-Chul;Shin, Chang-Eon
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.2
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    • pp.351-358
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    • 2007
  • For an entire function f whose Fourier transform has a compact support confined to $[-{\pi},\;{\pi}]$ and restriction to ${\mathbb{R}}$ belongs to $L^2{\mathbb{R}}$, we derive a nonuniform sampling theorem of Lagrange interpolation type with sampling points ${\lambda}_n{\in}{\mathbb{R}},\;n{\in}{\mathbb{Z}}$, under the condition that $$\frac{lim\;sup}{n{\rightarrow}{\infty}}|{\lambda}_n-n|<\frac {1}{4}$.

Acceptance Sampling Plans in the Rayleigh Model

  • Baklizi Ayman;El-Masri Abedel-Qader;AL-Nasser Amjad
    • Communications for Statistical Applications and Methods
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    • v.12 no.1
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    • pp.11-18
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    • 2005
  • Assume that the life times of the units under test follow the Rayleigh distribution and the test is terminated at a pre assigned time. Acceptance sampling plans are developed for this situation. The minimum sample size necessary to ensure the specified average life are obtained and the operating characteristic values of the sampling plans and producer's risk are given. An example is given to illustrate the methodology.

Rectifying Inspection of Linear Cost Model with a Constraint and a $\alpha$-Optimal Acceptance Sampling (제약조건과 사전확률이 고려된 선형비용모형의 수정검사정책)

  • 이도경;이근희
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.24
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    • pp.1-5
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    • 1991
  • Various linear cost models have been proposed that can be used to determine a sampling plan by attributes. This paper is concerned with this sampling cost model when the probability that the number of nonconforming item is smaller than the break-even quality level is known. In addition to this situation, a constraint by AOQL is considered. Under these conditions, optimal sampling plan which minimize the average cost per lot is suggested.

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