• Title/Summary/Keyword: Probability of exclusion

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Performance analysis of satellite and terrestrial spectrum-shared networks with directional antenna

  • Yeom, Jeong Seon;Noh, Gosan;Chung, Heesang;Kim, Ilgyu;Jung, Bang Chul
    • ETRI Journal
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    • v.42 no.5
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    • pp.712-720
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    • 2020
  • Recently, to make the best use of limited and precious spectrum resources, spectrum sharing between satellite and cellular networks has received much interest. In this study, we mathematically analyze the success probability of a fixed (satellite) earth station (FES) based on a stochastic geometry framework. Both the FES and base stations (BSs) are assumed to be equipped with a directional antenna, and the location and the number of BSs are modeled based on the Poisson point process. Furthermore, an exclusion zone is considered, in which the BSs are prohibited from locating in a circular zone with a certain radius around the FES to protect it from severe interference from the cellular BSs. We validate the analytical results on the success probability of the cognitive satellite-terrestrial network with directional antennas by comparing it using extensive computer simulations and show the effect of the exclusion zone on the success probability at the FES. It is shown that the exclusion zone-based interference mitigation technique significantly improves the success probability as the exclusion zone increases.

INCLUSION AND EXCLUSION FOR FINITELY MANY TYPES OF PROPERTIES

  • Chae, Gab-Byoung;Cheong, Min-Seok;Kim, Sang-Mok
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.113-129
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    • 2010
  • Inclusion and exclusion is used in many papers to count certain objects exactly or asymptotically. Also it is used to derive the Bonferroni inequalities in probabilistic area [6]. Inclusion and exclusion on finitely many types of properties is first used in R. Meyer [7] in probability form and first used in the paper of McKay, Palmer, Read and Robinson [8] as a form of counting version of inclusion and exclusion on two types of properties. In this paper, we provide a proof for inclusion and exclusion on finitely many types of properties in counting version. As an example, the asymptotic number of general cubic graphs via inclusion and exclusion formula is given for this generalization.

Validation of 17 Microsatellite Markers for Parentage Verification and Identity Test in Chinese Holstein Cattle

  • Zhang, Yi;Wang, Yachun;Sun, Dongxiao;Yu, Ying;Zhang, Yuan
    • Asian-Australasian Journal of Animal Sciences
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    • v.23 no.4
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    • pp.425-429
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    • 2010
  • To develop an efficient DNA typing system for Chinese Holstein cattle, 17 microsatellites, which were amplified in four fluorescent multiplex reactions and genotyped by two capillary electrophoresis injections, were evaluated for parentage verification and identity test. These markers were highly polymorphic with a mean of 8.35 alleles per locus and an average expected heterozygosity of 0.711 in 371 individuals. Parentage exclusion probability with only one sampled parent was approximately 0.999. Parentage exclusion probability when another parent' genotype was known was over 0.99999. Overall probability of identity, i.e. the probability that two animals share a common genotype by chance, was $1.52{\times}10^{-16}$. In a test case of parentage assignment, the 17 loci assigned 31 out of 33 cows to the pedigree sires with 95% confidence, while 2 cows were excluded from the paternity relationship with candidate sires. The results demonstrated the high efficacy of the 17 markers in parentage analysis and individual identification for Chinese Holstein cattle.

Probabilistic Exclusion Based Orthogonal Matching Pursuit Algorithm for Sparse Signal Reconstruction (희소 신호의 복원을 위한 확률적 배제 기반의 직교 정합 추구 알고리듬)

  • Kim, Seehyun
    • Journal of IKEEE
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    • v.17 no.3
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    • pp.339-345
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    • 2013
  • In this paper, the probabilistic exclusion based orthogonal matching pursuit (PEOMP) algorithm for the sparse signal reconstruction is proposed. Some of recent greedy algorithms such as CoSaMP, gOMP, BAOMP improved the reconstruction performance by deleting unsuitable atoms at each iteration. They still often fail to converge to the solution because the support set could not escape from a local minimum. PEOMP helps to escape by excluding a random atom in the support set according to a well-chosen probability function. Experimental results show that PEOMP outperforms several OMP based algorithms and the $l_1$ optimization method in terms of exact reconstruction probability.

Development of a Multiplex PCR System for Microsatellite Genotyping of the Sea Cucumber Stichopus japonicus (해삼(Stichopus japonicus)의 microsatellite 유전자형 분석을 위한 multiplex PCR 시스템 개발)

  • Sim, Yong-Teak;Lee, Chul-Sang
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.50 no.6
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    • pp.806-811
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    • 2017
  • A multiplex PCR system comprising 14 microsatellite markers was developed for genotyping analysis of the sea cucumber Stichopus japonicus. A total of 286 samples were used to evaluate genetic polymorphisms and forensic parameters of the microsatellite loci. In a single PCR reaction, all 14 loci were uniformly amplified and a total of 269 alleles were identified. The AJ19024 locus had the largest number of alleles (46), and its discriminatory power and exclusion power were 0.99 and 0.76, respectively. The fewest alleles (8) were present at the Psj2575 locus, which provided the lowest discriminatory power (0.81) and exclusion power (0.20). The mean number of alleles, mean heterozygosity, mean discrimination power and mean exclusion power per locus were 19.21, 0.70, 0.93, and 0.46, respectively. The combined matching probability for the 14 loci was $9.64{\times}10^{-19}$, and the combined power of exclusion was 0.999995. Thus, the forensic parameters evaluated in the present study demonstrated the utility of our multiplex PCR system for biological tracing methods, such as individual identification and paternity testing, in the sea cucumber.

Microsatellite DNA Typing Using 16 Markers for Parentage Verification of the Korean Native Horse

  • Cho, G.J.;Cho, B.W.
    • Asian-Australasian Journal of Animal Sciences
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    • v.17 no.6
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    • pp.750-754
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    • 2004
  • This study was performed for parentage verification of the Korean native horse (KNH). 103 random KNH samples (including 19 foals for parentage testing) were genotyped by using 16 microsatellite markers. The number of alleles per locus varied from 5 to 13 with an average value of 8.56 in the KNH. The observed heterozygosity and the expected heterozygosity ranged 0.398-0.893 (the average value was 0.683) and 0.368-0.871 (the average value was 0.727) in the KNH, respectively. The PIC value and the exclusion probability ranged 0.347-0.853 (the average value was 0.692) and 0.208-0.736, respectively, and the total exclusion probability of 16 microsatellite loci was 0.9999. Of the 16 markers, AHT4, AHT5, ASB2, ASB17, HMS2, HMS3, HTG10, LEX33, TKY321 and VHL20 loci have a relatively high PIC value (>0.7) in the KNH. Of the 19 foals, 5 foals were disqualified by an incompatibility of 4-7 markers according to a Mendelian fashion in the present DNA typing for parentage testing. These results present basic information for developing a system for parentage verification and individual identification in the KNH.

Semi closed-form pricing autocallable ELS using Brownian Bridge

  • Lee, Minha;Hong, Jimin
    • Communications for Statistical Applications and Methods
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    • v.28 no.3
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    • pp.251-265
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    • 2021
  • This paper discusses the pricing of autocallable structured product with knock-in (KI) feature using the exit probability with the Brownian Bridge technique. The explicit pricing formula of autocallable ELS derived in the existing paper handles the part including the minimum of the Brownian motion using the inclusion-exclusion principle. This has the disadvantage that the pricing formula is complicate because of the probability with minimum value and the computational volume increases dramatically as the number of autocall chances increases. To solve this problem, we applied an efficient and robust simulation method called the Brownian Bridge technique, which provides the probability of touching the predetermined barrier when the initial and terminal values of the process following the Brownian motion in a certain interval are specified. We rewrite the existing pricing formula and provide a brief theoretical background and computational algorithm for the technique. We also provide several numerical examples computed in three different ways: explicit pricing formula, the Crude Monte Carlo simulation method and the Brownian Bridge technique.

Study of the Impact of Light Through the Vitamin $B_{12}$/Folate Inspection (Vitamin $B_{12}$/Folate 검사 시 빛의 영향에 대한 고찰)

  • Cho, Eun Bit;Pack, Song Ran;Kim, Whe Jung;Kim, Seong Ho;Yoo, Seon Hee
    • The Korean Journal of Nuclear Medicine Technology
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    • v.16 no.2
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    • pp.162-166
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    • 2012
  • Purpose : Vitamin $B_{12}$ and Folate are for anemia work-up which is well known for its sensitivity of light; the screening manual also specifies to be careful with light conditions. According to this, our laboratory minimized the exposure of light when inspecting the Vitamin $B_{12}$ and Folate, but the exposure cannot be wholly blocked due to other various factors such as when conducting specimen segregation. Thus, this inspection is to identify to what extent light can influence and whether the exclusion of light is mandatory during the Vitamin $B_{12}$/Folate test. Materials and Methods : We have conducted two experiments of identifying the extent of light's influence when conducting the Vitamin $B_{12}$/Folate test and also when specimens are under preservation. These experiments were progressed with various concentrations of patients' specimens which were requested to our hospital in March 2012. The first experiment is to verify the results on Vitamin $B_{12}$/Folate dependent on light exposure during the experiment. In the process, we have compared the results of light exposure/exclusion during the incubation process after the reagent division. The second experiment is about the impact of light exposure on the results on Vitamin $B_{12}$/Folate during the preservation. For 1, 2, 7 days the light on the specimen were wholly blocked and were preserved under $-15^{\circ}C$ temperature refrigeration. Then, we compared the results of light-excluded specimen and the exposed one. Results : When conducting first experiment, there were no noticeable changes in the Standard and specimen's cpm, but for Vitamin $B_{12}$, the average result of specimen exposed to light increased 7.8% compare to that of excluded one's. Furthermore, in the significant level 0.05, the significance probability or the p-value was 0.251 which means it has no impact. For Folate, the result being exposed to light decreased 5.4%, the significance probability was 0.033 which means it has little impact. For the second preservation, the result was dependent on the light exposure. The first day of preservation of Vitamin $B_{12}$, the clinical material exposed to light was 11.6%, second day clinical material exposed to light was 10.8%, seventh day clinical material exposed to light increased 3.8%, the significance probability of the $1^{st}$, $2^{nd}$, $7^{th}$ day is 0.372, 0.033, 0.144 respectively, and which indicates that the $1^{st}$ and $7^{th}$ day seems to have no impact. For Folate's case, the clinical material exposed to light has increased 1.4% but hardly had impact, $2^{nd}$ day clinical material being exposed to light was 6.1%, $7^{Th}$ day clinical material being exposed to light decreased 5.2%. The significance probability of Folate on the $1^{st}$, $2^{nd}$, $7^{th}$ day is 0.378, 0.037, 0.217 respectively, and the $1^{st}$ day and the $7^{th}$ day seems to have no impact. Conclusion : After scrutinizing the impact of light exposure/exclusion, Vitamin $B_{12}$ has no impact, while Folate seems to have no noticeable influence but light exclusion is recommended due to its significance probability of 0.033 when conducting experiment. During the preservation, the $2^{nd}$ day result depend on the light exclusion seems to have impact or influence. However, to consider the complication of the experimental process, the experiment including technical errors is predictable. Hence, it is likely to have no impact of light. Nevertheless, it is recommendable to exclude the light during the long preservation as per the significance probability (p-value) of $1^{st}$ and $7^{th}$ day has been diminished.

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Estimation of Genetic Variation in Holstein Young Bulls of Iran AI Station Using Molecular Markers

  • Rahimi, G.;Nejati-Javaremi, A.;Saneei, D.;Olek, K.
    • Asian-Australasian Journal of Animal Sciences
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    • v.19 no.4
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    • pp.463-467
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    • 2006
  • Genetic profiles of Iranian Holstein young bulls at the national artificial insemination station were determined on the basis of individual genotypes at 13 ISAG's recommended microsatellites, the most useful markers of choice for parentage identification. In the present study a total of 119 individuals were genotyped at 13 microsatellite loci and for possible parent-offspring combinations. A high level of genetic variation was evident within the investigated individuals as assessed from various genetic diversity measures. The mean number of observed alleles per microsatellite marker was 9.15 and the number of effective alleles as usual was less than the observed values (4.03). The average observed and expected heterozygosity values were 0.612 and 0.898, respectively. The mean polymorphic information content (PIC) value (0.694) further reflected a high level of genetic variability. The average exclusion of probability (PE) of the 13 markers was 0.520, ranging from 0.389 to 0.788. The combined exclusion of probability was 0.999, when 13 microsatellite loci were used for analysis in the individual identification system. Inbreeding was calculated as the difference between observed and expected heterozygosity. Observed homozygosity was less than expected which reflects inbreeding of -3.7% indicating that there are genetic differences between bull-sires and bull-dams used to produce young bulls. The results obtained from this study demonstrate that the microsatellite DNA markers used in the present DNA typing are useful and sufficient for individual identification and parentage verification without accurate pedigree information.

Development of a Computer Code for Common Cause Failure Analysis (공통원인 고장분석을 위한 전산 코드 개발)

  • Park, Byung-Hyun;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • v.24 no.1
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    • pp.14-29
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    • 1992
  • COMCAF, a computer code for the common-cause failure analysis, is developed to treat the common-cause failures in nuclear power plants. In the treatment of common-cause failures, the minimal cut sets of the system are obtained first without changing the fault-tree structure. The occurrence probabilities of the minimal cut sets are then calculated accounting for the common-cause failures among components in the same minimal cut set or in different minimal cut sets. The basic parameter model is used to model the common-cause failures between similar or identical components. For dissimilar components, the assumption of symmetry used in the basic parameter model is applied to the basic events affecting two or more components. The top event probability is evaluated using the inclusion-exclusion method. In addition to the common-cause failures of components in the same minimal cut sets, failures of components in the different minimal cut sets are also easily accounted for by this method. This study applied this common-cause failure analysis to the PWR auxiliary feedwater system. The results in the top event probability for the system are compared with those of no common-cause failures.

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