• Title/Summary/Keyword: Random Sampling

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The systematic sampling for inferring the survey indices of Korean groundfish stocks

  • Hyun, Saang-Yoon;Seo, Young IL
    • Fisheries and Aquatic Sciences
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    • v.21 no.8
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    • pp.24.1-24.9
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    • 2018
  • The Korean bottom trawl survey has been deployed on a regular basis for about the last decade as part of groundfish stock assessments. The regularity indicates that they sample groundfish once per grid cell whose sides are half of one latitude and that of one longitude, respectively, and whose inside is furthermore divided into nine nested grids. Unless they have a special reason (e.g., running into a rocky bottom), their sample location is at the center grid of the nine nested grids. Given data collected by the survey, we intended to show how to appropriately estimate not only the survey index of a fish stock but also its uncertainty. For the regularity reason, we applied the systematic sampling theory for the above purposes and compared its results with a reference, which was based on the simple random sampling. When using the survey data about 11 fish stocks, collected by the spring and fall surveys in 2014, the survey indices of those stocks estimated under the systematic sampling were overall more precise than those under the simple random sampling. In estimates of the survey indices in number, the standard errors of those estimates under the systematic sampling were reduced from those under the simple random sampling by 0.23~27.44%, while in estimates of the survey indices in weight, they decreased by 0.04~31.97%. In bias of the estimates, the systematic sampling was the same as the simple random sampling. Our paper is first in formally showing how to apply the systematic sampling theory to the actual data collected by the Korean bottom trawl surveys.

Semi-deterministic Sparse Matrix for Low Complexity Compressive Sampling

  • Quan, Lei;Xiao, Song;Xue, Xiao;Lu, Cunbo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.5
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    • pp.2468-2483
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    • 2017
  • The construction of completely random sensing matrices of Compressive Sensing requires a large number of random numbers while that of deterministic sensing operators often needs complex mathematical operations. Thus both of them have difficulty in acquiring large signals efficiently. This paper focuses on the enhancement of the practicability of the structurally random matrices and proposes a semi-deterministic sensing matrix called Partial Kronecker product of Identity and Hadamard (PKIH) matrix. The proposed matrix can be viewed as a sub matrix of a well-structured, sparse, and orthogonal matrix. Only the row index is selected at random and the positions of the entries of each row are determined by a deterministic sequence. Therefore, the PKIH significantly decreases the requirement of random numbers, which has a complex generating algorithm, in matrix construction and further reduces the complexity of sampling. Besides, in order to process large signals, the corresponding fast sampling algorithm is developed, which can be easily parallelized and realized in hardware. Simulation results illustrate that the proposed sensing matrix maintains almost the same performance but with at least 50% less random numbers comparing with the popular sampling matrices. Meanwhile, it saved roughly 15%-35% processing time in comparison to that of the SRM matrices.

An importance sampling for a function of a multivariate random variable

  • Jae-Yeol Park;Hee-Geon Kang;Sunggon Kim
    • Communications for Statistical Applications and Methods
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    • v.31 no.1
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    • pp.65-85
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    • 2024
  • The tail probability of a function of a multivariate random variable is not easy to estimate by the crude Monte Carlo simulation. When the occurrence of the function value over a threshold is rare, the accurate estimation of the corresponding probability requires a huge number of samples. When the explicit form of the cumulative distribution function of each component of the variable is known, the inverse transform likelihood ratio method is directly applicable scheme to estimate the tail probability efficiently. The method is a type of the importance sampling and its efficiency depends on the selection of the importance sampling distribution. When the cumulative distribution of the multivariate random variable is represented by a copula and its marginal distributions, we develop an iterative algorithm to find the optimal importance sampling distribution, and show the convergence of the algorithm. The performance of the proposed scheme is compared with the crude Monte Carlo simulation numerically.

Sampling Phase Detector for NRZ Random Bit Synchronization (NRZ Random Bit 동기를 위한 표본 위상 검출기)

  • 박세현;박세훈
    • Journal of Korea Multimedia Society
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    • v.3 no.6
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    • pp.652-660
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    • 2000
  • This paper proposes a new type of sampling Phase Detector (SPD) for NRZ random bit synchronization circuit. The proposed SPD calculates the mean value of phase difference between bit interval of input signal and period of local reference. Simulated and experimental results show that the proposed SPD is applicable to the phase detector for NRZ random signal. finally the Random NRZ bit synchronization circuit. is designed and implemented by using SPD.

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Performance comparison of random number generators based on Adaptive Rejection Sampling (적응 기각 추출을 기반으로 하는 난수 생성기의 성능 비교)

  • Kim, Hyotae;Jo, Seongil;Choi, Taeryon
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.3
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    • pp.593-610
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    • 2015
  • Adaptive Rejection Sampling (ARS) method is a well-known random number generator to acquire a random sample from a probability distribution, and has the advantage of improving the proposal distribution during the sampling procedures, which update it closer to the target distribution. However, the use of ARS is limited since it can be used only for the target distribution in the form of the log-concave function, and thus various methods have been proposed to overcome such a limitation of ARS. In this paper, we attempt to compare five random number generators based on ARS in terms of adequacy and efficiency. Based on empirical analysis using simulations, we discuss their results and make a comparison of five ARS-based methods.

Practical Advantage of Systematic Sampling to Attain a Representative Sample (표본의 대표성 확보를 위한 계통표집법의 활용)

  • 박진우;김영원
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2001.04a
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    • pp.153-165
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    • 2001
  • In this paper we point out another advantage of systematic sampling over simple random sampling, which have not yet been spelled out in the literature. After a single sample is drawn by a sampling scheme, it is important to check whether the achieved sample represents the pupulation well or out. Therefore, a sampling scheme which avoids the possibility of selecting non-preferred samples is desirable. The simulation results are given to illustrate that, in the ordered population, the possibility of selecting non-preferred sample by systematic sampling is lower than that by simple random sampling.

Practical Advantage of Systematic Sampling to Attain a Representative Sample (표본의 대표성 확보틀 위한 계통표집법의 활용)

  • 박진우;김영원
    • Survey Research
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    • v.2 no.2
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    • pp.153-165
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    • 2001
  • In this paper we point out another advantage of systematic sampling over simple random sampling, which have not yet been spelled out in the literature. After a single sample is drawn by a sampling scheme, it is important to check whether the achived sample represents the population well or not. Therefore. a sampling scheme which avoids the possibility of selecting non-preferred samples is desirable. The simulation results are given to illustrate that, in the ordered population, the possibility of selecting non-preferred sample by systematic sampling is lower than that by simple random sampling.

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The Economic Design of Two-Stage Sampling Plan for Attributes (비용을 고려한 계수치 2단계 샘플링 방법의 경제적 설계)

  • Lee, Gyeong-Jong;Lee, Sang-Yong
    • Journal of Korean Society for Quality Management
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    • v.21 no.1
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    • pp.35-43
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    • 1993
  • The principal objective of a sampling plan is to make efficient use of the budget allocated and to obtain as precise an estimate of a population parameter as possible. In order to estimate the proportion of defectives produced or to determine some measure of product Quality, it is necessary to select random samples which represent a population parameter of the process. In this case, the two stage sampling is more efficient and convenient than simple random sampling. Therefore this paper aims to propose the design procedures of two stage sampling plan to obtain a representative samples in considering the sampling precision under the restricted sampling unspection cost.

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A Comparative Case Study on Sampling Methods for Cost-Effective Forest Inventory: Focused on Random, Systematic and Line Sampling (비용 효율적 표준지 조사를 위한 표본추출방법 비교 사례연구: 임의추출법, 계통추출법, 선상추출법을 중심으로)

  • Park, Joowon;Cho, Seungwan;Kim, Dong-geun;Jung, Geonhwi;Kim, Bomi;Woo, Heesung
    • Journal of Korean Society of Forest Science
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    • v.109 no.3
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    • pp.291-299
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    • 2020
  • The purpose of this study was to propose the most cost-effective sampling method, by analyzing the cost of forest resource investigation per sampling method for the planned harvesting area of in Chunyang-myeon, Byeonghwa-gun, Gyeongsangbuk-do, Korea. For this study, three sampling methods were selected: random sampling method, systematic sampling method, and line transect method. For each method, sample size, hourly wage, number of sample points, survey time, travel time, the sample error rate of the estimated average volume, and the desired sampling error rate were used to calculate the cost of forest resource inventories. Thus, 10 sampling points were extracted for each sampling method, and the factors required for cost analysis were calculated via a field survey. As a result, the field survey cost per ha using the random sampling method was found to be have the lowest cost, regardless of the desired sampling error rate, followed by the systematic sampling method, and the line transect method.

The Major Findings of the Telephone Survey by Random Digit Dialing and Time-Balanced Quota Sampling (임의번호걸기와 시간균형할당표집에 의한 전화조사의 주요결과)

  • Huh, M.H.;Han, S.T.;Kim, J.Y.;Sung, E.H.;Kang, H.
    • Survey Research
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    • v.12 no.2
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    • pp.77-88
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    • 2011
  • Korean telephone surveys have been based on telephone directory and thus criticized for considerable under-coverage. Now, Korean survey institutions progress to random digit dialing (RDD) very actively. But still most surveys are administered by quota sampling, prone to assign heavier weights to social classes with more hours staying indoor. As a practical remedy, time-balanced quota sampling scheme was proposed by Huh and Hwang (2006). This study compares two telephone surveys on TV audience environment in Korea: RDD with conventional quota sampling versus RDD with time-balanced quota sampling.

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