• 제목/요약/키워드: monte carlo methods

검색결과 944건 처리시간 0.026초

준난수 몬테칼로 방법을 이용한 다중자산 옵션 가격의 추정 (Application of quasi-Monte Carlo methods in multi-asset option pricing)

  • 모은비;박종선
    • Journal of the Korean Data and Information Science Society
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    • 제24권4호
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    • pp.669-677
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    • 2013
  • 본 연구에서는 다중자산 옵션 가격의 추정에 있어 자산의 수, 상관계수, 자산의 값들과 표준편차의 여러 조합에 대한 시뮬레이션을 통하여 저불일치 수열에 따르는 준난수 몬테칼로 방법들을 비교하였다. 결과적으로 준난수와 모로 역변환을 이용하는 것이 기본적인 몬테칼로 방법보다 정확하였으며 자산의 수와 관계없이 준난수 방법들 중 혼합법들이 더욱 효과적임을 알 수 있었다.

Approximating Exact Test of Mutual Independence in Multiway Contingency Tables via Stochastic Approximation Monte Carlo

  • Cheon, Soo-Young
    • 응용통계연구
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    • 제25권5호
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    • pp.837-846
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    • 2012
  • Monte Carlo methods have been used in exact inference for contingency tables for a long time; however, they suffer from ergodicity and the ability to achieve a desired proportion of valid tables. In this paper, we apply the stochastic approximation Monte Carlo(SAMC; Liang et al., 2007) algorithm, as an adaptive Markov chain Monte Carlo, to the exact test of mutual independence in a multiway contingency table. The performance of SAMC has been investigated on real datasets compared to with existing Markov chain Monte Carlo methods. The numerical results are in favor of the new method in terms of the quality of estimates.

CHALLENGES AND PROSPECTS FOR WHOLE-CORE MONTE CARLO ANALYSIS

  • Martin, William R.
    • Nuclear Engineering and Technology
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    • 제44권2호
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    • pp.151-160
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    • 2012
  • The advantages for using Monte Carlo methods to analyze full-core reactor configurations include essentially exact representation of geometry and physical phenomena that are important for reactor analysis. But this substantial advantage comes at a substantial cost because of the computational burden, both in terms of memory demand and computational time. This paper focuses on the challenges facing full-core Monte Carlo for keff calculations and the prospects for Monte Carlo becoming a routine tool for reactor analysis.

짱뚱어 자료로 살펴본 장기 시계열 자료의 순차적 몬테 칼로 추론 (A Sequential Monte Carlo inference for longitudinal data with luespotted mud hopper data)

  • 최일수
    • 한국정보통신학회논문지
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    • 제9권6호
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    • pp.1341-1345
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    • 2005
  • 비선형이고 정규분포에 따르지 않는 state-space모형분석에서 순차적 몬테 칼로(SMC)는 유용한 도구 중의 하나이다. 모수와 시그럴을 동시에 추정하기 위해 Monte Carlo particle filters를 사용할 수가 있다. 그러나 SMC는 여러단계의 반복을 요구하는 특별한 particle filtering 기법을 필요로 하게 된다. 본 논문은 particle filtering과 순차적 hybrid Monte Carlo(SHMC)을 결합하는 방법을 제시하고자 한다. 실험을 위해 짱뚱어 자료를 사용하였다.

Efficient Monte Carlo simulation procedures in structural uncertainty and reliability analysis - recent advances

  • Schueller, G.I.
    • Structural Engineering and Mechanics
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    • 제32권1호
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    • pp.1-20
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    • 2009
  • The present contribution addresses uncertainty quantification and uncertainty propagation in structural mechanics using stochastic analysis. Presently available procedures to describe uncertainties in load and resistance within a suitable mathematical framework are shortly addressed. Monte Carlo methods are proposed for studying the variability in the structural properties and for their propagation to the response. The general applicability and versatility of Monte Carlo Simulation is demonstrated in the context with computational models that have been developed for deterministic structural analysis. After discussing Direct Monte Carlo Simulation for the assessment of the response variability, some recently developed advanced Monte Carlo methods applied for reliability assessment are described, such as Importance Sampling for linear uncertain structures subjected to Gaussian loading, Line Sampling in linear dynamics and Subset simulation. The numerical example demonstrates the applicability of Line Sampling to general linear uncertain FE systems under Gaussian distributed excitation.

TEACHING PROBABILISTIC CONCEPTS AND PRINCIPLES USING THE MONTE CARLO METHODS

  • LEE, SANG-GONE
    • 호남수학학술지
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    • 제28권1호
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    • pp.165-183
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    • 2006
  • In this article, we try to show that concepts and principles in probability can be taught vividly through the use of the Monte Carlo method to students who have difficulty with probability in the classrooms. We include some topics to demonstrate the application of a wide variety of real world problems that can be addressed.

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EFFICIENT MONTE CARLO ALGORITHM FOR PRICING BARRIER OPTIONS

  • Moon, Kyoung-Sook
    • 대한수학회논문집
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    • 제23권2호
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    • pp.285-294
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    • 2008
  • A new Monte Carlo method is presented to compute the prices of barrier options on stocks. The key idea of the new method is to use an exit probability and uniformly distributed random numbers in order to efficiently estimate the first hitting time of barriers. It is numerically shown that the first hitting time error of the new Monte Carlo method decreases much faster than that of standard Monte Carlo methods.

Bayesian Estimation of State-Space Model Using the Hybrid Monte Carlo within Gibbs Sampler

  • Park, Ilsu
    • Communications for Statistical Applications and Methods
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    • 제10권1호
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    • pp.203-210
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    • 2003
  • In a standard Metropolis-type Monte Carlo simulation, the proposal distribution cannot be easily adapted to "local dynamics" of the target distribution. To overcome some of these difficulties, Duane et al. (1987) introduced the method of hybrid Monte Carlo(HMC) which combines the basic idea of molecular dynamics and the Metropolis acceptance-rejection rule to produce Monte Carlo samples from a given target distribution. In this paper, using the HMC within Gibbs sampler, an asymptotical estimate of the smoothing mean and a general solution to state space modeling in Bayesian framework is obtaineds obtained.

Monte Carlo Simulation기법을 이용한 송전계통의 신뢰도 평가 (Reliability Evaluation of Transmission System using Monte Carlo Simulation Method)

  • 문승필;김홍식;최재석;차준민
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 춘계학술대회 논문집 전력기술부문
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    • pp.169-171
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    • 2001
  • This paper presents a method fer evaluation nodal probabilistic congestion and reliability indices of transmission systems using Monte Carlo simulation methods. Quantitative evaluation of transmission system reliability is very important because successful operation of an electric power system. In the deregulated electricity market depends on transmission system reliability management Monte Carlo methods are often preferable, when complex operating conditions are involved and/or the number of sever events is relatively large. To evaluate the reliability of a real power system, Monte Carlo Methods will be more useful. The characteristics and effectiveness of this methodology are illustrated by the case study using a small test system.

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Dose Computational Time Reduction For Monte Carlo Treatment Planning

  • Park, Chang-Hyun;Park, Dahl;Park, Dong-Hyun;Park, Sung-Yong;Shin, Kyung-Hwan;Kim, Dae-Yong;Cho, Kwan-Ho
    • 한국의학물리학회:학술대회논문집
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    • 한국의학물리학회 2002년도 Proceedings
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    • pp.116-118
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    • 2002
  • It has been noted that Monte Carlo simulations are the most accurate method to calculate dose distributions in any material and geometry. Monte Carlo transport algorithms determine the absorbed dose by following the path of representative particles as they travel through the medium. Accurate Monte Carlo dose calculations rely on detailed modeling of the radiation source. We modeled the effects of beam modifiers such as collimators, blocks, wedges, etc. of our accelerator, Varian Clinac 600C/D to ensure accurate representation of the radiation source using the EGSnrc based BEAM code. These were used in the EGSnrc based DOSXYZ code for the simulation of particles transport through a voxel based Cartesian coordinate system. Because Monte Carlo methods use particle-by-particle methods to simulate a radiation transport, more particle histories yield the better representation of the actual dose. But the prohibitively long time required to get high resolution and accuracy calculations has prevented the use of Monte Carlo methods in the actual clinical spots. Our ultimate aim is to develop a Monte Carlo dose calculation system designed specifically for radiation therapy planning, which is distinguished from current dose calculation methods. The purpose of this study in the present phase was to get dose calculation results corresponding to measurements within practical time limit. We used parallel processing and some variance reduction techniques, therefore reduced the computational time, preserving a good agreement between calculations of depth dose distributions and measurements within 5% deviations.

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