• 제목/요약/키워드: precise large deviations

검색결과 3건 처리시간 0.021초

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

  • Tang, Fengqin;Bai, Jianming
    • 대한수학회지
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    • 제52권3호
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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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    • 제31권5호
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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.

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

  • 신종화;손정익
    • 생물환경조절학회지
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    • 제24권1호
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    • pp.1-7
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    • 2015
  • 파프리카는 수분에 민감한 작물이므로 작물의 생산성 향상을 위하여 적정 관수조절은 매우 중요하다. 광환경 조건은 시설재배에서 여러 환경 변수 중 조절이 용이하지 못하며, 지역 별, 계절 별 분포가 다르기 때문에 광환경 데이터를 이용한 증산과 관수의 추정이 필요하다. 본 연구에서는 파프리카의 정확한 증산 예측을 위하여 변형된 증산 추정식을 활용하였다. 또한 기상청의 광도자료를 활용하여 지역 별 증산량과 관수량을 비교하였다. 우리나라의 경우 여름철 하루 중 광도의 편차가 심하고 장마기간이 있으므로 봄, 가을에 비하여 증산량이 오히려 낮았다. 그리고 광주기가 길어지는 봄에 증산량이 가장 많았으므로, 이 시기의 데이터를 이용하여 관수시설 용량을 지역별로 제시할 수 있었다. 이러한 결과는 시설재배에서 관수설비 기준제시를 위한 자료 및 투입에너지 최적화에도 유용하게 활용될 것으로 판단된다.