• Title/Summary/Keyword: Sampling Density

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Development of a Sampling Strategy and Sample Size Calculation to Estimate the Distribution of Mammographic Breast Density in Korean Women

  • Jun, Jae Kwan;Kim, Mi Jin;Choi, Kui Son;Suh, Mina;Jung, Kyu-Won
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.9
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    • pp.4661-4664
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    • 2012
  • Mammographic breast density is a known risk factor for breast cancer. To conduct a survey to estimate the distribution of mammographic breast density in Korean women, appropriate sampling strategies for representative and efficient sampling design were evaluated through simulation. Using the target population from the National Cancer Screening Programme (NCSP) for breast cancer in 2009, we verified the distribution estimate by repeating the simulation 1,000 times using stratified random sampling to investigate the distribution of breast density of 1,340,362 women. According to the simulation results, using a sampling design stratifying the nation into three groups (metropolitan, urban, and rural), with a total sample size of 4,000, we estimated the distribution of breast density in Korean women at a level of 0.01% tolerance. Based on the results of our study, a nationwide survey for estimating the distribution of mammographic breast density among Korean women can be conducted efficiently.

Quincunx Sampling Method For Improvement of Double-Density Wavelet Transformation (이중 밀도 웨이브렛 변환의 성능 향상을 위한 Quincunx 표본화 기법)

  • Lim, Joong Hee;Shin, Jong Hong
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.8 no.1
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    • pp.171-181
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    • 2012
  • This paper introduces the double-density discrete wavelet transform(DWT) using quincunx sampling, which is a DWT that combines the double-density DWT and quincunx sampling method, each of which has its own characteristics and advantages. The double-density DWT is an improvement upon the critically sampled DWT with important additional properties: Firstly, It employs one scaling function and two distinct wavelets, which are designed to be offset from one another by one half. Secondly, the double-density DWT is overcomplete by a factor of two, and Finally, it is nearly shift-invariant. In two dimensions, this transform outperforms the standard DWT in terms of denoising; however, there is room for improvement because not all of the wavelets are directional. That is, although the double-density DWT utilizes more wavelets, some lack a dominant spatial orientation, which prevents them from being able to isolate those directions. A solution to this problem is a quincunx sampling method. The quincunx lattice is a sampling method in image processing. It treats the different directions more homogeneously than the separable two dimensional schemes. Proposed wavelet transformation can generate sub-images of multiple degrees rotated versions. Therefore, This method services good performance in image processing fields.

Failure Probability Calculation Method Using Kriging Metamodel-based Importance Sampling Method (크리깅 근사모델 기반의 중요도 추출법을 이용한 고장확률 계산 방안)

  • Lee, Seunggyu;Kim, Jae Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.5
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    • pp.381-389
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    • 2017
  • The kernel density was determined based on sampling points obtained in a Markov chain simulation and was assumed to be an important sampling function. A Kriging metamodel was constructed in more detail in the vicinity of a limit state. The failure probability was calculated based on importance sampling, which was performed for the Kriging metamodel. A pre-existing method was modified to obtain more sampling points for a kernel density in the vicinity of a limit state. A stable numerical method was proposed to find a parameter of the kernel density. To assess the completeness of the Kriging metamodel, the possibility of changes in the calculated failure probability due to the uncertainty of the Kriging metamodel was calculated.

Digital Image Processing Using Non-separable High Density Discrete Wavelet Transformation (비분리 고밀도 이산 웨이브렛 변환을 이용한 디지털 영상처리)

  • Shin, Jong Hong
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.9 no.1
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    • pp.165-176
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    • 2013
  • This paper introduces the high density discrete wavelet transform using quincunx sampling, which is a discrete wavelet transformation that combines the high density discrete transformation and non-separable processing method, each of which has its own characteristics and advantages. The high density discrete wavelet transformation is one that expands an N point signal to M transform coefficients with M > N. The high density discrete wavelet transformation is a new set of dyadic wavelet transformation with two generators. The construction provides a higher sampling in both time and frequency. This new transform is approximately shift-invariant and has intermediate scales. In two dimensions, this transform outperforms the standard discrete wavelet transformation in terms of shift-invariant. Although the transformation utilizes more wavelets, sampling rates are high costs and some lack a dominant spatial orientation, which prevents them from being able to isolate those directions. A solution to this problem is a non separable method. The quincunx lattice is a non-separable sampling method in image processing. It treats the different directions more homogeneously than the separable two dimensional schemes. Proposed wavelet transformation can generate sub-images of multiple degrees rotated versions. Therefore, This method services good performance in image processing fields.

PERFORMANCE EVALUATION VIA MONTE CARLO IMPORTANCE SAMPLING IN SINGLE USER DIGITAL COMMUNICATION SYSTEMS

  • Oh Man-Suk
    • Journal of the Korean Statistical Society
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    • v.35 no.2
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    • pp.157-166
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    • 2006
  • This research proposes an efficient Monte Carlo algorithm for computing error probability in high performance digital communication st stems. It characterizes special features of the problem and suggests an importance sampling algorithm specially designed to handle the problem. It uses a shifted exponential density as the importance sampling density, and shows an adaptive way of choosing the rate and the origin of the shifted exponential density. Instead of equal allocation, an intelligent allocation of the samples is proposed so that more samples are allocated to more important part of the error probability. The algorithm uses the nested feature of the error space and avoids redundancy in estimating the probability. The algorithm is applied to an example data set and shows a great improvement in accuracy of the error probability estimation.

The Density Effect on the Dry Matter Production of Zea mays (옥수수의 건물질성산에 미치는 밀도효과)

  • 이일구
    • Journal of Plant Biology
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    • v.13 no.1
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    • pp.56-64
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    • 1970
  • The present experiments differning from that conducted by agriculturists with the first consideration of food or seed production were performed in order to investigate the density effect on dry matter production in the artified population of maize. Three experimental plots were established and one seed was sown in the first plot, 2 seeds in the second plot and 3 seeds in the third plot, respectively. The space of each ridge was designed with 30cm in width and 50cm in length. The space of each seed was 4cm and the growth amount by density was measured through three times. The results obtained are as follows: 1) The total growth amount per unit area was in the order of the third, second and first plots until the second sampling. At the third sampling the whole plots showed almost the same growth amount except the first plot which showed a slightly smaller amount. 2) The growth amount per individual plant was in the order of the third, second and first plots until the second sampling, while the first plot showed drastic growth compared with the other two plots at the third sampling. 3) The growth amount by each organ(leaf, stem and root) of the plant body was markedly abundant in the stem of the non-productive part compared with that in the leaf of the productive part. Especially the root was affected remarkably by density and the first plot showed an abundant growth in comparison with the other plots which were too poor to resist the gound surface.

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Easy and Quick Survey Method to Estimate Quantitative Characteristics in the Thin Forests

  • Mirzaei, Mehrdad;Bonyad, Amir Eslam;Bijarpas, Mahboobeh Mohebi;Golmohamadi, Fatemeh
    • Journal of Forest and Environmental Science
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    • v.31 no.2
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    • pp.73-77
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    • 2015
  • Acquiring accurate quantitative and qualitative information is necessary for the technical and scientific management of forest stands. In this study, stratification and systematic random sampling methods were used to estimation of quantitative characteristics in study area. The estimator ($((E%)^2xT)$) was used to compare the systematic random and stratified sampling methods. 100 percent inventory was carried out in an area of 400 hectares; characteristics as: tree density, crown cover (canopy), and basal area were measured. Tree density of stands was compared through systemic random and stratified sampling methods. Findings of the study reveal that stratified sampling method gives a better representation of estimates than systematic random sampling.

RANDOM SAMPLING AND RECONSTRUCTION OF SIGNALS WITH FINITE RATE OF INNOVATION

  • Jiang, Yingchun;Zhao, Junjian
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.2
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    • pp.285-301
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    • 2022
  • In this paper, we mainly study the random sampling and reconstruction of signals living in the subspace Vp(𝚽, 𝚲) of Lp(ℝd), which is generated by a family of molecules 𝚽 located on a relatively separated subset 𝚲 ⊂ ℝd. The space Vp(𝚽, 𝚲) is used to model signals with finite rate of innovation, such as stream of pulses in GPS applications, cellular radio and ultra wide-band communication. The sampling set is independently and randomly drawn from a general probability distribution over ℝd. Under some proper conditions for the generators 𝚽 = {𝜙λ : λ ∈ 𝚲} and the probability density function 𝜌, we first approximate Vp(𝚽, 𝚲) by a finite dimensional subspace VpN (𝚽, 𝚲) on any bounded domains. Then, we prove that the random sampling stability holds with high probability for all signals in Vp(𝚽, 𝚲) whose energy concentrate on a cube when the sampling size is large enough. Finally, a reconstruction algorithm based on random samples is given for signals in VpN (𝚽, 𝚲).

Prediction of Service Life of a Respirator Cartridge for Organic Solvent by Using Yoon and Nelson's Adsorption Model (Yoon과 Nelson의 흡착모델을 이용한 방독마스크 정화통의 수명예측(I))

  • Kim, Ki-Hwan;Won, Jung-Il
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.18 no.1
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    • pp.20-31
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    • 2008
  • A respirator is useful to protect a worker from the harmful gases and vapors in the workplace, and the evaluation of respirator cartridge service life is important for the worker's health and safety. The performance of cartridge is effected by several factors such as concentration of gas and vapor, humidity, temperature, adsorbents and cartridge packing density. Adsorption model was applied to both sampling tube and respirator cartridge to predict the service life for organic vapors. The variables of the adsorption model were measured from the experiment with the sampling tube, and it was used to predict the service life of respirator cartridge. In the experiment, we used carbon tetrachloride as a organic vapor and activated carbon take out respirator cartridge as activated carbon. As a result, it was possible to predict the service life of respirator cartridge and predicted service life was quite correct. Breakthrough time decreased with increase of CCl4 concentration. In case of sampling tube, adsorbed amount of CCl4 was larger than respirator cartridge due to linear velocity. Also, rate constant of sampling tube was larger than respirator cartridge, because of, effect of flow rate, packing density. In the prediction of service life of respirator cartridge by using sampling tube, the time required for 50% contaminant breakthrough(${\tau}$) is more effective than the rate constant(k').

Report on the molluscan fauna in Tongbatarl lagoon on the east coast of Jeju, Korea (제주 동부연안 통밧알 석호의 연체동물상 보고)

  • Lee, Hee-Jung;Noseworthy, Ronald G.;Park, SangRul;Hong, Hyun-Ki;Lee, Byung-Gul;Choi, Kwang-Sik
    • The Korean Journal of Malacology
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    • v.30 no.1
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    • pp.95-99
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    • 2014
  • In the present study, we surveyed the molluscan fauna in a lagoon located near Seong-san harbor on the east coast of Jeju Island in July 2012. For the survey, a $25{\times}25cm$ quadrat was deployed over 3 randomly selected sites in the intertidal area of the lagoon. Sediment from the surface to a depth of 25 cm in the quadrat was removed and sieved using a 1 mm mesh sieve. All molluscan fauna retained on the sieve was identified to the species level. From the survey, 25 species of mollusca belonging to 2 orders and 16 families were identified. Species richness, in terms of total number of species, was found to be the highest at sampling site 1, where the substrate was composed of coarse sand and some rocks, while it was lowest at sampling site 3, composed of compact fine sand. Regardless of the type of substrate at the sampling sites, the mud-creeping snail Batillaria cumingii (Crosse, 1862) occurred at a high density, ranging from $324-468ind./m^2$. The luciniid bivalve Pillucina pisidium also occurred at a high density at sampling site 1, at $336ind./m^2$, while the density of this species was only $4ind./m^2$ at sampling site 3. The Manila clam Ruditapes philippinarum could be found at all 3 sampling sites with very low density ranging from $16-48ind./m^2$. The density and species richness of molluscs observed in this study was lower compared to the previously reported molluscan fauna in Jeju Island, suggesting that further investigation needs to be carried out to conserve the unique marine lagoon ecosystem in Jeju Island.