• Journal of the Korean Data and Information Science Society
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• v.19 no.2
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• pp.635-644
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• 2008

We consider estimation of reliability P(Y

• Journal of the Korean Statistical Society
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• v.28 no.1
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• pp.1-19
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• 1999

In this paper we establish some limit theorems for a two-parameter fractional Levy Brownian motion on rectangles in the Euclidean plane via estimating upper bounds of large deviation probabilities on suprema of the two-parameter fractional Levy Brownian motion.

• Journal of KIISE:Software and Applications
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• v.28 no.11
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• pp.833-841
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• 2001

Abstract In this work, we analyze the Levy mutation operations based on the Levy probability distribution in the evolutionary programming via the mean square displacement and the distinctness. The Levy probability distribution is characterized by an infinite second moment and has been widely studied in conjunction with the fractals. The Levy mutation operators not only generate small varied offspring, but are more likely to generate large varied offspring than the conventional mutation operators. Based on this fact, we prove mathematically, via the mean square displacement and the distinctness, that the Levy mutation operations can explore and exploit a search space more effectively. As a result, one can get better performance with the Levy mutation than the conventional Gaussian mutation for the multi-valued functional optimization problems.

• Korean Management Science Review
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• v.25 no.3
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• pp.1-12
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• 2008

The Swaption is one of the popular Interest rates derivatives. In spite of such a popularity, the swaption pricing formula is hard to derived within the theoretical consistency. Most of swaption pricing model are heavily depending on the simulation technique. We present a new class of swaption model based on the multi-factor HJM levy-mixture model. A key contribution of this paper is to provide a generalized swaption pricing formula encompassing many market stylize facts. We provide an approximated closed form solution of the swaption price using the Gram-Charlier expansion. Specifically, the solution form is similar to the market models, since our approximation is based on the Lognormal distribution. It can be directly compared with the traditional Black's formula when the size of third and fourth moments are not so large. The proposed extended levy model is also expected to be capable of producing the volatility smiles and skewness.

• Journal of the Korea institute for structural maintenance and inspection
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• v.22 no.5
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• pp.13-22
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• 2018

In this study, a governing differential equation for the bending problem of orthotropic rectangular plate is drived. It's exact solution for various boundary conditions is presented. This solution follows traditional method like Navier's solution or Levy's solution that transforms the governing differential equation into an algebraic equation by using trigonometric series. To obtain a solution by Levy's method, it is required that two opposite edges of the plate be simply supported. And the boundary conditions, for which the Navier's method is applicable, are simply supported edge at all edges. In this study, it overcomes the limitations of the previous Navier's and Levy's methods.This solution is applicable for any combination of boundary conditions with simply supported edge and clamped edge in x, y direction. The plate could be subjected to uniform, partially uniform, and line loads. The advantage of the solution is that it is the exact solution as well as it overcomes the limitations of the previous Navier's and Levy's methods. Calculations are presented for orthotropic plates with nonsymmetric boundary conditions. Comparisons between the result of this paper and the result of Navier, Levy and Szilard solutions are made for the isotropic plates. The deflections were in excellent agreement.

• 재활복지
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• v.17 no.4
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• pp.177-196
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• 2013

The object of this article is to examine the effect of the quota-levy system on employment outcome of people with disabilities in Korea. Merging the data from disability employment report of 16,246 businesses in 2011 and the macroeconomic indicators such as regional economic condition, the author analyzes the effect of quota-levy system on employment outcome of persons with disabilities by using Hierarchical Linear Model(HLM). The finding is that imposing the levy on businesses affects employment outcome of people with disabilities but regional economic condition does not. The rate of employees with disabilities of the levied business is 0.7%p higher than that of the other business. The result of analysis implies that employment outcome of people with disabilities is influenced by the quota-levy system rather than regional economic condition.

• Journal of the Korean Mathematical Society
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• v.43 no.2
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• pp.383-398
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• 2006

We consider a geometric Levy process for an underlying asset. We prove first that the option price is the unique solution of certain integro-differential equation without assuming differentiability and boundedness of derivatives of the payoff function. Second result is to provide convergence rate for option prices when the small jumps are removed from the Levy process.

• Journal of the Korean Statistical Society
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• v.34 no.1
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• pp.11-20
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• 2005

The distributional properties of R = X/(X + Y) and related estimation procedures are derived when X and Y are independent and identically distributed according to the Weibull or Levy distribution. The work is of interest in biological and physical sciences, econometrics, engineering and ranking and selection.

• Journal of the Korean Data and Information Science Society
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• v.12 no.2
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• pp.65-69
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• 2001

MLE and UMVUE of the right-tail probability in a Levy distribution will be considered, and hence the UMVUE is more efficient in a sense of simulated MSE than the MLE of the right-tail probability.

• Proceedings of the Acoustical Society of Korea Conference
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• autumn
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• pp.345-348
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• 2000

변환기의 해석 및 선계에 있어서 측정되어진 데이터로부터 그 변환기의 진기, 기계, 음향적인 특성변수를 추출하는 기술의 확보는 설계되어진 변환기의 검증 및 최적화를 위해서 필수적이다. 이와 관련한 기존의 방법은 측정방법이 번거롭고 그 결과 또한 많은 오차를 포함하고 있는 관계로 변환기의 정확한 특성변수를 추출하는데 어려움이 많았다. 본 연구에서는 전기음향변환기의 정확한 특성변수 추출을 위하여 기존의 방법과는 달리 Levy Method 반복적으로 사용하여 그 오차를 최소화하는 알고리듬을 개발하였다.