• 제목/요약/키워드: actuarial model

검색결과 71건 처리시간 0.019초

Cox 비례위험모형을 따르는 중도절단자료 생성 (Generating censored data from Cox proportional hazards models)

  • 김지현;김봉성
    • 응용통계연구
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    • 제31권6호
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    • pp.761-769
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    • 2018
  • 통계학 연구에 모의실험이 중요하게 쓰이며 중도절단자료를 다루는 생존분석에서도 마찬가지다. 생존분석에서 Cox 모형이 널리 쓰이는데, Cox 모형을 따르는 중도절단자료를 생성하는 방법에 대해 살펴보았다. Bender 등 (Statistics in Medicine, 24, 1713-1723, 2005)은 생존시간을 생성하는 모수적 방법을 제시하였으나 생존시간뿐만 아니라 중도절단시간도 생성해야 중도절단자료를 얻게 된다. 중도절단자료를 생성하기 위한 모수적 방법과 함께 비모수적 방법도 제시하였으며 실제 자료에도 적용해 보았다.

Bayesian mixed models for longitudinal genetic data: theory, concepts, and simulation studies

  • Chung, Wonil;Cho, Youngkwang
    • Genomics & Informatics
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    • 제20권1호
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    • pp.8.1-8.14
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    • 2022
  • Despite the success of recent genome-wide association studies investigating longitudinal traits, a large fraction of overall heritability remains unexplained. This suggests that some of the missing heritability may be accounted for by gene-gene and gene-time/environment interactions. In this paper, we develop a Bayesian variable selection method for longitudinal genetic data based on mixed models. The method jointly models the main effects and interactions of all candidate genetic variants and non-genetic factors and has higher statistical power than previous approaches. To account for the within-subject dependence structure, we propose a grid-based approach that models only one fixed-dimensional covariance matrix, which is thus applicable to data where subjects have different numbers of time points. We provide the theoretical basis of our Bayesian method and then illustrate its performance using data from the 1000 Genome Project with various simulation settings. Several simulation studies show that our multivariate method increases the statistical power compared to the corresponding univariate method and can detect gene-time/ environment interactions well. We further evaluate our method with different numbers of individuals, variants, and causal variants, as well as different trait-heritability, and conclude that our method performs reasonably well with various simulation settings.

On the models for the distribution of examination score for projecting the demand for Korean Long-Term Care Insurance

  • Javal, Sophia Nicole;Kwon, Hyuk-Sung
    • Communications for Statistical Applications and Methods
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    • 제28권4호
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    • pp.393-410
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    • 2021
  • The Korean Long-Term Care Insurance (K-LTCI) provides financial support for long-term care service to people who need various types of assistance with daily activities. As the number of elderly people in Korea is expected to increase in the future, the demand for long-term care insurance would also increase over time. Projection of future expenditure on K-LTCI depends on the number of beneficiaries within the grading system of K-LTCI based on the test scores of applicants. This study investigated the suitability of mixture distributions to the model K-LTCI score distribution using recent empirical data on K-LTCI, provided by the National Health Insurance Service (NHIS). Based on the developed mixture models, the number of beneficiaries in each grade and its variability under the current grading system were estimated by simulation. It was observed that a mixture model is suitable for K-LTCI score distribution and may prove useful in devising a funding plan for K-LTCI benefit payment and investigating the effects of any possible revision in the K-LTCI grading system.

왜도 예측을 이용한 Lee-Carter 모형의 주택연금 리스크 분석 (Actuarial analysis of a reverse mortgage applying a modified Lee-Carter model based on the projection of the skewness of the mortality)

  • 이항석;박상대;백혜연
    • 응용통계연구
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    • 제31권1호
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    • pp.77-96
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    • 2018
  • 주택연금은 계약기간이 확정되어 있지 않기 때문에 계약 종료 시점에 대한 확률분포 예측이 장수리스크 관리를 위하여 중요하다. 따라서 고령화의 주요인인 기대수명의 연장은 연금 재정건전성에 심각한 영향을 끼칠 수 있기 때문에 사망률의 개선 추세가 적절히 반영된 사망률 예측 연구가 선행될 필요가 있다. 본 연구에서는 Lee-Carter (LC) 모형과 연생모형을 이용하여 주택연금 계리모형에 사망률 개선 효과를 반영하였다. 전통적 LC 모형을 통한 사망률 예측 방식은 미래 사망률이 지나치게 개선되는 현상을 보이고 있기 때문에 사망률 개선효과를 조금 더 적절한 수준으로 보정하고자 본 연구에서는 사망확률 분포의 편중을 나타내는 왜도를 활용한 LC 모형을 적용하였다. 왜도 예측 방식을 LC 모형에 적용한 방법론을 사용하여 주택연금 월 지급금을 산출해본 결과 전통적 LC 모형의 사망률 예측보다 사망률 개선효과를 더 적게 반영하여 더 큰 월 지급금이 산출되었고, 왜도 활용 LC 모형에 의한 이러한 결과는 장수 리스크를 덜 왜곡한다는 데 의의가 있다고 볼 수 있다. 본 연구 결과는 사망률 감소 추세를 적절하게 반영한 위험률을 계산하여 주택연금의 발행기관 및 보증기관의 적정한 월 지급금 지급과 차후 월 지급금의 과대지급으로 인한 지급불능을 방지할 수 있는 리스크 관리 방법으로 이용될 수도 있다.

손해배상액과 무효심판 판례를 이용한 특허 로열티율 산정 회귀모형 (Regression Models for Determining the Patent Royalty Rates using Infringement Damage Awards and Inter-Partes Review Cases)

  • 양동홍;강근석;김성철
    • 한국전자거래학회지
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    • 제23권1호
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    • pp.47-63
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    • 2018
  • 무형자산의 가치평가에 많이 사용되고 있는 수익접근법과 시장접근법의 특성을 모두 가지고 있는 로열티공제법을 사용하여 지식재산권의 경제적 가치를 평가할 때, 로열티공제법의 중요한 투입변수인 로열티율을 객관적으로 산정하는 수리적 모형을 제시한다. 이를 위하여 미국의 특허침해 손해배상액을 로열티율로 산정한 판례를 참고로 하여 로열티율을 종속변수로, 당해 특허권의 특허지표를 독립변수로 하여 로열티율 산정 회귀모형을 적용한다. 또한 미국의 당사자계재심(Inter-Partes Review)판례를 참고로 하여 특허무효거절 결과를 종속변수로 하고 당해 특허권의 특허지표를 독립변수로 하여 로지스틱회귀 모형을 적합시킨다. 최종 로열티율은 위의 로열티율 산정 회귀모형에서 산출된 로열티율과 로지스틱회귀모형에서 산출된 특허무효거절 확률을 결합하여 산정한다. 마지막으로, 본 논문에서 구축된 모형에 의해 산정된 로열티율과 기준 방식에 의해 산정된 로열티율을 비교하여 제안된 모형의 객관성과 신뢰성을 분석한다.

Estimation of Genetic Parameters for Economic Traits in Korean Native Chickens

  • Sang, Byung Don;Kong, Hong Sik;Kim, Hak Kyu;Choi, Chul Hwan;Kim, Si Dong;Cho, Yong Min;Sang, Byung Chan;Lee, Jun Heon;Jeon, Gwang Joo;Lee, Hak Kyo
    • Asian-Australasian Journal of Animal Sciences
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    • 제19권3호
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    • pp.319-323
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    • 2006
  • Heritabilities and genetic correlations of economic traits were estimated with a multiple-trait animal model on 5 different strains of Korea Native Chickens (KNC): Red Brown (RB), Yellow Brown (YB), Gray Brown (GB), Black (B) and White (W). The data used for this study were collected from the Daejeon branch of the National Livestock Research Institute and included 11,233 performance records and 12,729 individual animals. DFREML and SAS BASE/STAT packages were used to estimate genetic parameters and descriptive statistics. The estimated heritabilities for strain RB, YB, GB, B and W, respectively, for age at 1st egg were 0.24, 0.27, 0.12, 0.32 and 0.18; for body weight at first egg were 0.39, 0.43, 0.38, 0.52 and 0.57; for body weight at age of 270 days were 0.43, 0.51, 0.30, 0.52 and 0.67; for egg weight at first egg were 0.08, 0.13, 0.07, 0.06 and 0.07; for egg weight at age of 270 days were 0.37, 0.43, 0.22, 0.34 and 0.41; and for number of eggs laid by age of 270 days were 0.24, 0.25, 0.37, 0.36 and 0.30. The genetic and phenotypic correlations were also estimated.

건강수준의 측정 및 평점화 모형의 설계 (A method for evaluating and scoring of health status)

  • 오필재;김현철;권혁성
    • 응용통계연구
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    • 제33권3호
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    • pp.239-256
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    • 2020
  • 최근 기대수명의 증가로 건강에 대한 관심이 늘어나고 있으며 이에 따라 건강관련 산업 및 서비스에 대한 수요도 증가하고 있다. 개인의 건강상태를 다양한 요소들을 이용하여 평가하고 분류할 수 있는 방법을 통해 다양한 건강관련 프로그램 및 서비스를 보다 합리적으로 운영할 수 있을 것이다. 본 연구에서는 기존 연구를 통해 잘 알려진 건강상태 관련 요인들을 이용하여 건강수준을 측정하고 평점화하는 방안을 제시하였다. 이를 위해 신용평가모형의 변수 선정과 범주화, 모형 도출, 평점화로 이어지는 일련의 과정에서 사용하는 방법론을 도입하였고 모형의 적합을 위해서 국민건강보험공단에서 제공하는 표본 코호트 DB를 이용하였다. 본 연구에서 도출된 건강수준 평가모형은 헬스케어 및 건강관련 서비스에 대한 구조 설계 및 운영에 적절하게 활용될 수 있을 것으로 기대된다.

Hancock과 Carpentier-Edward 이종판막의 장기 임상성적에 대한 비교 연구 (Comparison of long-term result of Hancock and Carpentier-Edward bioprosthetic valves)

  • 김정택
    • Journal of Chest Surgery
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    • 제26권1호
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    • pp.24-31
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    • 1993
  • The long term clinical results following valve replacement with Hancock and Carpentier-Edwards bioprostheses were compared between tow valve models and between tow groups totaling 249 patients who were discharged after valve replacement from 1976 to 1986. The two groups of patients were treated with nonrandomized fashion. Follow-up was 87% complete. Cummulative duration of follow-up was 1909 patient-years, with maximum follow-up duration of 15 years. The actuarial survival for 122 patients with Hancock valves was 95.2%[\ulcornerstandard deviation] and 84.4% after 5 and 10 years of follow-up, respectively. Comparable figures for 127 patients undergoing valve replacement with Carpentier-Edwards valves were 87.3% and 76.4%, respectively[p=NS]. The probability of freedom from structural valve deterioration after 5 and 10 years of follow-up was 97.2% and 60.6%, respectively, with Hancock valves and 97.2% and 55.7%, respectively, with Carpentier-Edwards valves[p=NS]. Considering all 249 patients, multivariate [Cox model] regression revealed that ejection fraction was only significant predictor of structural valve deterioration. The probability of freedom from thromboembolism after 5 and 10 years of follow-up was 91.3% and 86.4%, respectively, with Hancock valves and 94.2% and 82.5%, respectively, with Carpentier-Edwards valves[p=NS]. Hence more strict control of anticoagulation should be done on patients with left atrial factors. In summary, there were no significant differences in actuarial survival rate and major valve related complications between tow valve models. These results suggests that its use should be confined to older patients or patients with a contraindication of anticoagulation.

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Credibility estimation via kernel mixed effects model

  • Shim, Joo-Yong;Kim, Tae-Yoon;Lee, Sang-Yeol;Hwa, Chang-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제20권2호
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    • pp.445-452
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    • 2009
  • Credibility models are actuarial tools to distribute premiums fairly among a heterogeneous group of policyholders. Many existing credibility models can be expressed as special cases of linear mixed effects models. In this paper we propose a nonlinear credibility regression model by reforming the linear mixed effects model through kernel machine. The proposed model can be seen as prediction method applicable in any setting where repeated measures are made for subjects with different risk levels. Experimental results are then presented which indicate the performance of the proposed estimating procedure.

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Testing the exchange rate data for the parameter change based on ARMA-GARCH model

  • Song, Junmo;Ko, Bangwon
    • Journal of the Korean Data and Information Science Society
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    • 제24권6호
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    • pp.1551-1559
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    • 2013
  • In this paper, we analyze the Korean Won/Japanese 100 Yen exchange rate data based on the ARMA-GARCH model, and perform the test for detecting the parameter changes. As a test statistics, we employ the cumulative sum (CUSUM) test for ARMA-GARCH model, which is introduced by Lee and Song (2008). Our empirical analysis indicates that the KRW/JPY exchange rate series experienced several parameter changes during the period from January 2000 to December 2012, which leads to a fitting of AR-IGARCH model to the whole series.