• Title/Summary/Keyword: precise large deviations

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PRECISE LARGE DEVIATIONS FOR AGGREGATE LOSS PROCESS IN A MULTI-RISK MODEL

  • Tang, Fengqin;Bai, Jianming
    • Journal of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.447-467
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    • 2015
  • In this paper, we consider a multi-risk model based on the policy entrance process with n independent policies. For each policy, the entrance process of the customer is a non-homogeneous Poisson process, and the claim process is a renewal process. The loss process of the single-risk model is a random sum of stochastic processes, and the actual individual claim sizes are described as extended upper negatively dependent (EUND) structure with heavy tails. We derive precise large deviations for the loss process of the multi-risk model after giving the precise large deviations of the single-risk model. Our results extend and improve the existing results in significant ways.

Effect of single nucleotide polymorphism on the total number of piglets born per parity of three different pig breeds

  • Do, Kyoung-Tag;Jung, Soon-Woo;Park, Kyung-Do;Na, Chong-Sam
    • Asian-Australasian Journal of Animal Sciences
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    • v.31 no.5
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    • pp.628-635
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    • 2018
  • Objective: To determine the effects of genomic breeding values (GBV) and single nucleotide polymorphisms (SNP) on the total number of piglets born (TNB) in 3 pig breeds (Berkshire, Landrace, and Yorkshire). Methods: After collecting genomic information (Porcine SNP BeadChip) and phenotypic TNB records for each breed, the effects of GBV and SNP were estimated by using single step best linear unbiased prediction (ssBLUP) method. Results: The heritability estimates for TNB in Berkshire, Landrace, and Yorkshire breeds were 0.078, 0.107, and 0.121, respectively. The breeding value estimates for TNB in Berkshire, Landrace, and Yorkshire breeds were in the range of -1.34 to 1.47 heads, -1.79 to 1.87 heads, and -2.60 to 2.94 heads, respectively. Of sows having records for TNB, the reliability of breeding value for individuals with SNP information was higher than that for individuals without SNP information. Distributions of the SNP effects on TNB did not follow gamma distribution. Most SNP effects were near zero. Only a few SNPs had large effects. The numbers of SNPs with absolute value of more than 4 standard deviations in Berkshire, Landrace, and Yorkshire breeds were 11, 8, and 19, respectively. There was no SNP with absolute value of more than 5 standard deviations in Berkshire or Landrace. However, in Yorkshire, four SNPs (ASGA 0089457, ASGA0103374, ALGA0111816, and ALGA0098882) had absolute values of more than 5 standard deviations. Conclusion: There was no common SNP with large effect among breeds. This might be due to the large genetic composition differences and the small size of reference population. For the precise evaluation of genetic performance of individuals using a genomic selection method, it may be necessary to establish the appropriate size of reference population.

Irrigation Criteria based on Estimated Transpiration and Seasonal Light Environmental Condition for Greenhouse Cultivation of Paprika (파프리카 재배에서 계절별 광환경 조건과 증산량 예측에 근거한 관수공급 기준 제시)

  • Shin, Jong Hwa;Son, Jung Eek
    • Journal of Bio-Environment Control
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    • v.24 no.1
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    • pp.1-7
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    • 2015
  • Irrigation control plays an important role in improving productivity of paprika which is very sensitive to moisture condition. Among environmental factors, light intensity and distribution are not easily controlled and showed a big difference depending on season and region. For adequate irrigation control, therefore, transpiration and irrigation amounts considering light environmental data should be estimated. In current study, modified transpiration model was used for more precise estimation of transpiration. Seasonal transpiration and irrigation amounts at different regions were compared by using light environmental data provided from Korea Meteorological Administration. The transpiration amount in summer was rather smaller than those in spring and autumn seasons in Korea due to large deviations in light intensity as well as rainy period in summer. Irrigation system capacities at various regions could be recommended by using the transpiration amount in the spring having the longest photoperiod in the year. These results will be useful to the design of irrigation system and optimization of input energy in greenhouse.