• 제목/요약/키워드: Multi-level rotation design

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THE EXTENSION OF THREE-WAY BALANCED MULTI-LEVEL ROTATION SAMPLING DESIGNS

  • Kim, K.W.;Park, Y.S.;Lee, D.H.
    • Journal of the Korean Statistical Society
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    • 제35권4호
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    • pp.343-353
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    • 2006
  • The two-way balanced one-level rotation design, $r_1^m-r_2^{m-1}$, and the three-way balanced multi-level rotation design, $r_1^m(\iota)-r_1^{m-1}$, were discussed (Park et al., 2001, 2003). Although these rotation designs enjoy balancing properties, they have a restriction of $r_2=c{\cdot}r_1$ (c should be a integer value) which interferes with applying these designs freely to various situations. To overcome this difficulty, we extend the $r_1^m(\iota)-r_1^{m-1}$ design to new one under the most general rotation system. The new multi-level rotation design also satisfies tree-way balancing which is done on interview time, rotation group and recall time. We present the rule and rotation algorithm which guarantee the three-way balancing. In particular, we specify the necessary condition for the extended three-way balanced multi-level rotation sampling design.

THREE-WAY BALANCED MULTI-LEVEL ROTATION SAMPLING DESIGNS

  • Park, Y. S.;Kim, K. W.;Kim, N. Y.
    • Journal of the Korean Statistical Society
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    • 제32권3호
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    • pp.245-259
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    • 2003
  • The 2-way balanced one-level rotation design has been discussed (Park et al., 2001), where the 2-way balancing is done on interview time in monthly sample and rotation group. We extend it to 3-way balanced multi-level design to obtain more information of the same sample unit for one or more previous months. The 3-way balancing is accomplished not only on interview time in monthly sample and rotation group but also on recall time as well. The 3-way balancing eliminates or reduces any bias arising from unbalanced interview time, rotation group and recall time, and all rotation groups are equally represented in the monthly sample. We present the rule and rotation algorithm which guarantee the 3-way balancing. In particular, we specify the necessary and sufficient condition for the 3-way balanced multi-level rotation design.

Three-Way Balanced Multi-level Semi Rotation Sampling Designs

  • 박유성;최재원;김기환
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2002년도 춘계 학술발표회 논문집
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    • pp.19-24
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    • 2002
  • The two-way balanced one-level rotation design has been discussed (Park, Kim and Choi, 2001), where the two-way balancing is done on interview time in monthly sample and rotation group. We extend it to three-way balanced multi-level design under the most general rotation system. The three-way balancing is accomplished on interview time not only in monthly sample and rotation group but also in recall time. We present the necessary condition and rotation algorithm which guarantee the three-way balancing. We propose multi-level composite estimators (MCE) from this design and derive their variances and mean squared errors (MSE), assuming the correlation from the measurements of the same sample unit and three types of biases in monthly sample.

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Multi-Level Rotation Sampling Designs and the Variances of Extended Generalized Composite Estimators

  • Park, You-Sung;Park, Jai-Won;Kim, Kee-Whan
    • 한국조사연구학회:학술대회논문집
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    • 한국조사연구학회 2002년도 추계학술대회 발표논문집
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    • pp.255-274
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    • 2002
  • We classify rotation sampling designs into two classes. The first class replaces sample units within the same rotation group while the second class replaces sample units between different rotation groups. The first class is specified by the three-way balanced design which is a multi-level version of previous balanced designs. We introduce an extended generalized composite estimator (EGCE) and derive its variance and mean squared error for each of the two classes of design, cooperating two types of correlations and three types of biases. Unbiased estimators are derived for difference between interview time biases, between recall time biases, and between rotation group biases. Using the variance and mean squared error, since any rotation design belongs to one of the two classes and the EGCE is a most general estimator for rotation design, we evaluate the efficiency of EGCE to simple weighted estimator and the effects of levels, design gaps, and rotation patterns on variance and mean squared error.

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l-STEP GENERALIZED COMPOSITE ESTIMATOR UNDER 3-WAY BALANCED ROTATION DESIGN

  • KIM K. W.;PARK Y. S.;KIM N. Y.
    • Journal of the Korean Statistical Society
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    • 제34권3호
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    • pp.219-233
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    • 2005
  • The 3-way balanced multi-level rotation design has been discussed (Park Kim and Kim, 2003), where the 3-way balancing is done on interview time, in monthly sample and rotation group and recall time. A greater advantage of 3-way balanced design is accomplished by an estimator. To obtain the advantage, we generalized previous generalized composite estimator (GCE). We call this as l-step GCE. The variance of the l-step GCE's of various characteristics of interest are presented. Also, we provide the coefficients which minimize the variance of the l-step GCE. Minimizing a weighted sum of variances of all concerned estimators of interest, we drive one set of the compromise coefficient of l-step GCE's to preserve additivity of estimates.

Multi-Level Rotation Designs for Unbiased Generalized Composite Estimator

  • Park, You-Sung;Choi, Jai-Won;Kim, Kee-Whan
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2003년도 추계 학술발표회 논문집
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    • pp.123-130
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    • 2003
  • We define a broad class of rotation designs whose monthly sample is balanced in interview time, level of recall, and rotation group, and whose rotation scheme is time-invariant. The necessary and sufficient conditions are obtained for such designs. Using these conditions, we derive a minimum variance unbiased generalized composite estimator (MVUGCE). To examine the existence of time-in-sample bias and recall bias, we also propose unbiased estimators and their variances. Numerical examples investigate the impacts of design gap, non-sampling error sources, and two types of correlations on the variance of MVUGCE.

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l/G 교체표본디자인에서의 일반화복합추정량과 평균제곱오차에 관한 연구 (Generalized Composite Estimators and Mean Squared Errors for l/G Rotation Design)

  • 김기환;박유성;남궁재은
    • 응용통계연구
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    • 제17권1호
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    • pp.61-73
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    • 2004
  • 교체표본조사에서는 모든 표본단위를 복수 개(=G)의 교체그룹으로 나누고 일정 횟수만큼 조사한 후 표본단위 의 교체를 하는 경우와 조사기 간 동안 동일한 표본단위를 조사한 후 교체그룹 자체를 교체하는 두 가지 경우가 있다. 본 연구는 후자의 경우를 일반화하는 것으로, 매 조사월에서 하나의 교체그룹이 조사되고 이 교체그룹에 속한 모든 표본단위는 최근 l개월 동안의 정보를 제공하는 l-수준 교체표본설계이다. 표본단위 교체가 오직 교체그룹의 총 개수인 G와 회상 개월 수인 l에 의해 결정되므로 이를 l/G 교체표본설계로 일반화하였으며 일반화복합추정량의 분산과 두 가지 형태의 편향(bias)하에서 MSE를 구하고 절충 GCE(compromise GCE)의 계수를 유도하였다. 또한 GCE의 분산과 MSE를 상관계수, 편향, 표본조사단위의 분산의 형태, 그리고 설계간격(design gap)의 형태에 따라 분석하였다.

링크식 격발기구 설계에 관한 연구 (A Study on Designing Link Type Percussion Lock)

  • 이준호;여운주;최의중
    • 한국군사과학기술학회지
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    • 제12권3호
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    • pp.259-265
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    • 2009
  • In the traditional percussion locks of small arms, a firing pin is struck by a hammer rotating on a single center of rotation, which makes the percussion mechanism simple and reliable. In order to strike the firing pin by the hammer, however, the firing pin should be located within the radius of rotation of the hammer. As the distance between the striking point of the firing pin and the center of rotation of the hammer becomes longer, the radius of rotation of the hammer should also be increased, which results in the increase of the volume and weight of the small arms because the hammer needs the more space for its operation inside of the small arms. In this paper, a link type percussion lock was newly proposed in order to overcome the limitation of designing small arms when using traditional percussion locks, as mentioned above. The link type percussion lock was modeled by using multi-body dynamics software and designed to satisfy the requirements such as striking force level of the hammer exerting on the firing pin enough to detonate the percussion cap of ammunitions and the safety on the accidental drop. It was applied to the newly developed dual-barrel weapon system, in which the weight and overall length are important design factors, and verified by durability test and drop test on the ground.

나노급 정밀 구동을 위한 스핀들 모터-척 시스템 설계 (Design of Spindle Motor-chuck System for Ultra High Resolution)

  • 김경호;김하용;신부현
    • 한국소음진동공학회논문집
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    • 제19권6호
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    • pp.614-619
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    • 2009
  • The STW(servo track writing) system which is the process of writing servo signals on disks before assembling in drives uses the spindle motor-chuck mechanism to realize low cost because the spindle motor-chuck mechanism has merit which can simultaneously write multi-disk by piling up disks in hub. Therefore, when the spindle motor-chuck mechanism of horizontal type operates in high rotation speed it is necessary to reduce the effect of RRO(repeatable run-out) and NRRO(non-repeatable run-out) to achieve the high precision accuracy of nano-meter level during the STW process. In this paper, we analyzed that the slip in assembly surfaces can be caused by the mechanical tolerance and clamping force in hub-chuck mechanism and can affect NRRO performance. We designed springs for centering and clamping considering centrifugal force by the rotation speed and assembly condition. The experimental result showed NRRO performance improves about 30 % than case of weak clamping force. The result shows that the optimal design of the spindle motor-chuck mechanism can effectively reduce the effect of NRRO and RRO in STW process.

A Control Strategy of Auto-Leveling Equipment of Multi-Function Radar for Vehicle based on Embedded System Modeling

  • Byeol Han;Yushin Chang;Sungyong Lee
    • 한국컴퓨터정보학회논문지
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    • 제28권9호
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    • pp.1-8
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    • 2023
  • 본 논문에서는 임베디드 시스템을 이용한 차량용 다기능 레이다(Multi-Function Radar, MFR) 수평구동장치(Auto-Leveling Equipment, ALE) 구동 전략을 제안한다. 차량용 레이다는 일정 속도로 회전하며 지대공 유도미사일, 유인/무인 전투기 감시정찰 임무를 수행한다. 수평구동장치는 수평구동모듈 4세트로 구성하고 레이다 차량의 수평을 유지하여 시스템의 안정성을 확보한다. 차량의 수평은 임베디드 시스템을 이용하여 경사도를 측정하고, 구동모터를 이용하여 차량의 수평각을 유지한다. 본 논문에서는 수평구동모듈 1세트를 모델링하여 수평구동장치를 축소 구현하여 수평구동장치 설계 향상에 기여한다. 제안하는 구동 전략의 타당성은 MATLAB/Simulink 시뮬레이션으로 입증한다.