• 제목/요약/키워드: probability theory

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수산기업의 부채수용력이 자본조달순서이론에 미치는 영향 (The Effect of Debt Capacity on the Pecking Order Theory of Fisheries Firms' Capital Structure)

  • 남수현;김성태
    • 수산경영론집
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    • 제45권3호
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    • pp.55-69
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    • 2014
  • We try to test the pecking order theory of Korean fisheries firm's capital structure using debt capacity. At first, we estimate the debt capacity as the probability of assigning corporate bond rating from credit-rating agencies. We use logit regression model to estimate this probability as a proxy of debt capacity. The major results of this study are as follows. Firstly, we can confirm the fisheries firm's financing behaviour which issues new debt securities for financial deficit. Empirical test of SSM model indicates that the higher probability of assigning corporate bond rating, the higher the coefficient of financial deficit. Especially, high probability group follows this result exactly. Therefore, the pecking order theory of fisheries firm's capital structure applies well for high probability group which means high debt capacity. It also applies for medium and low probability group, but their significances are not good. Secondly, the most of fisheries firms in high probability group issue new debt securities for their financial deficit. Low probability group's fisheries firms also issue new debt securities for their financial deficit within the limit of their debt capacity, but beyond debt capacity they use equity financing for financial deficit. Therefore, the pecking order theory on debt capacity come into existence well in high probability group.

신뢰성 해석을 위한 인식론적 불확실성 모델링 방법 비교 (Comparison among Methods of Modeling Epistemic Uncertainty in Reliability Estimation)

  • 유민영;김남호;최주호
    • 한국전산구조공학회논문집
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    • 제27권6호
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    • pp.605-613
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    • 2014
  • 신뢰성 해석을 수행할 때 정보부족으로 인해 발생하는 인식론적 불확실성(epistemic uncertainty)은 고유의 변동성에 의해 존재하는 내재적 불확실성(aleatory uncertainty)보다 더 중요하게 다뤄야 한다. 그러나 그동안 개발된 확률이론은 주로 내재적 불확실성을 모델링하는데 이용된 반면, 인식론적 불확실성의 모델링에 대해서는 아직 확실한 접근법이 없었다. 최근 이를 위해 probability theory를 포함한 여러 접근법들이 제시되고 있지만 이들은 서로 다른 통계적 이론들을 바탕으로 도출되었기 때문에, 각 방법들의 결과들을 이해하는데 어려움이 있었다. 본 연구에서는 고장 확률을 계산하는 문제를 가지고 이러한 방법들이 인식론적 불확실성을 어떻게 다루는지를 비교, 분석하였다. 이를 위해 probability method, combined distribution method, interval analysis method 그리고 evidence theory를 대상으로 신뢰도 분석문제에 대해 각 방법들의 특징들을 비교하였으며, 그 결과는 다음과 같다. 입력변수의 확률분포 형태를 알 수 있다면 probability method가 가장 우수하나, 이를 전혀 모르면 interval method를 사용해야 한다. 그러나 계산비용 면에서는 두 방법이 유사하므로 결국 입력변수의 확률특성 정보가 얼마나 있느냐에 따라 방법을 선택한다. Combined distribution method는 failure probability의 평균만 제공하므로 사용하지 않는 것이 좋다. 다만 이 방법은 계산비용이 매우 적게 드는 장점이 있다. Evidence theory는 probability와 interval 방법의 중간에 해당하며, 구간별 probability assignment를 세분화 할수록 probability결과에 접근한다. 이 방법은 계산비용이 가장 높은 것이 문제이다.

RISK-INFORMED REGULATION: HANDLING UNCERTAINTY FOR A RATIONAL MANAGEMENT OF SAFETY

  • Zio, Enrico
    • Nuclear Engineering and Technology
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    • 제40권5호
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    • pp.327-348
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    • 2008
  • A risk-informed regulatory approach implies that risk insights be used as supplement of deterministic information for safety decision-making purposes. In this view, the use of risk assessment techniques is expected to lead to improved safety and a more rational allocation of the limited resources available. On the other hand, it is recognized that uncertainties affect both the deterministic safety analyses and the risk assessments. In order for the risk-informed decision making process to be effective, the adequate representation and treatment of such uncertainties is mandatory. In this paper, the risk-informed regulatory framework is considered under the focus of the uncertainty issue. Traditionally, probability theory has provided the language and mathematics for the representation and treatment of uncertainty. More recently, other mathematical structures have been introduced. In particular, the Dempster-Shafer theory of evidence is here illustrated as a generalized framework encompassing probability theory and possibility theory. The special case of probability theory is only addressed as term of comparison, given that it is a well known subject. On the other hand, the special case of possibility theory is amply illustrated. An example of the combination of probability and possibility for treating the uncertainty in the parameters of an event tree is illustrated.

불확실성의 수학 : 확률론과 개연론 (Mathematics of Uncertainty: Probability and Possibility)

  • 고영미;이상욱
    • 한국수학사학회지
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    • 제25권1호
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    • pp.1-13
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    • 2012
  • 수학은 엄밀성을 강조하는 학문이다. 그러나 사회가 복잡해지고 정보가 많아지면서 수학이 엄밀하지 않은 정보를 다루어야 하는 요구가 발생하게 되었다. 최근 이러한 불확실성을 갖는 정보를 엄밀성을 갖춘 정보로 변환하는 수단으로서 개연론에 대한 연구가 진행되고 있다. 본 논문은 임의성 (randomness) 을 다루는 확률론 (probability theory)과 비교하여 모호성 (vagueness) 을 다루는 개연론 (possibility theory) 을 개괄한다.

고전확률론과 중심극한정리에 대한 역사적 고찰

  • 장인홍
    • 한국수학사학회지
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    • 제15권3호
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    • pp.65-74
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    • 2002
  • In this paper we investigate an origin and development of the classical theory of probability. And we also investigate the law of large numbers and central limit theorem which are very important in tile probability theory.

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특정한 확률분포를 가정하지 않는 경우에 효용의 분산이 제품선택확률에 미치는 영향에 대한 연구 (An Investigation on the Effect of Utility Variance on Choice Probability without Assumptions on the Specific Forms of Probability Distributions)

  • 원지성
    • 경영과학
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    • 제28권1호
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    • pp.159-167
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    • 2011
  • The theory of random utility maximization (RUM) defines the probability of an alternative being chosen as the probability of its utility being perceived as higher than those of all the other competing alternatives in the choice set (Marschak 1960). According to this theory, consumers perceive the utility of an alternative not as a constant but as a probability distribution. Over the last two decades, there have been an increasing number of studies on the effect of utility variance on choice probability. The common result of the previous studies is that as the utility variance increases, the effect of the mean value of the utility (the deterministic component of the utility) on choice probability is reduced. This study provides a theoretical investigation on the effect of utility variance on choice probability without any assumptions on the specific forms of probability distributions. This study suggests that without assumptions of the probability distribution functions, firms cannot apply the marketing strategy of maximizing choice probability (or market share), but can only adopt the strategy of maximizing the minimum or maximum value of the expected choice probability. This study applies the Chebyshef inequality and shows how the changes in utility variances affect the maximum of minimum of choice probabilities and provides managerial implications.

국부 확률을 이용한 데이터 분류에 관한 연구 (A Study on Data Clustering Method Using Local Probability)

  • 손창호;최원호;이재국
    • 제어로봇시스템학회논문지
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    • 제13권1호
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    • pp.46-51
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    • 2007
  • In this paper, we propose a new data clustering method using local probability and hypothesis theory. To cluster the test data set we analyze the local area of the test data set using local probability distribution and decide the candidate class of the data set using mean standard deviation and variance etc. To decide each class of the test data, statistical hypothesis theory is applied to the decided candidate class of the test data set. For evaluating, the proposed classification method is compared to the conventional fuzzy c-mean method, k-means algorithm and Discriminator analysis algorithm. The simulation results show more accuracy than results of fuzzy c-mean method, k-means algorithm and Discriminator analysis algorithm.

A NEW STOCHASTIC EVALUATION THEORY OF ARBITRARY ACOUSTIC SYSTEM RESPONSE AND ITS APPLICATION TO VARIOUS TYPE SOUND INSULATION SYSTEMS -EQUIVALENCE TRANSFORMATION TOWARD THE STANDARD HERMITE AND/OR LAGUERRE EXPANSION TYPE PROBABILITY EXPRESSIONS

  • Ohta, Mitsuo;Ogawa, Hitoshi
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1994년도 FIFTH WESTERN PACIFIC REGIONAL ACOUSTICS CONFERENCE SEOUL KOREA
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    • pp.692-697
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    • 1994
  • In the actual sound environmental systems, it seems to be essentially difficult to exactly evaluate a whole probability distribution form of its response fluctuation, owing to various types of natural, social and human factors. Up to now, we very often reported two kinds of unified probability density expressions in the standard expansion from of Hermite and Laguerre type orthonormal series to generally evaluate non-Gaussian, non-linear correlation and/or non-stationary properties of the fluctuation phenomenon. However, in the real sound environment, there still remain many actual problems on the necessity of improving the above two standard type probability expressions for practical use. In this paper, first, a central point is focused on how to find a new probabilistic theory of practically evaluating the variety and complexity of the actual random fluctuations, especially through introducing some equivalence transformation toward two standard probability density expressions mentioned above in the expansion from of Hermite and Laguerre type orthonormal series. Then, the effectiveness of the proposed theory has been confirmed experimentally too by applying it to the actual problems on the response probability evaluation of various sound insulation systems in an acoustic room.

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시스템의 치명도 분석을 위한 고장영향확률 정량화 방안 연구 (A Study on the Quantitative Determination of Failure Effect Probability for Criticality Analysis on System)

  • 이명석;최성대;허장욱
    • 한국기계가공학회지
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    • 제18권8호
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    • pp.31-37
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    • 2019
  • The inter-development of FMECA is very important to assess the effect of potential failures during system operation on mission, safety and performance. Among these, criticality analysis is a core task that identifies items with high risk and selects the analyzed objects as the key management targets and reflects their effects to the design optimization. In this paper, we analyze the theory related to criticality analysis following US military standard, and propose a method to quantify the failure effect probability for objective criticality analysis. The criticality analysis according to the US military standard depends on the subjective judgment of the failure probability. The methodology for quantifying the failure effect probability is presented by using the reliability theory and the Bayes theorem. The failure rate is calculated by applying the method to quantify failure effect probability.

전망이론에 관한 실험연구 (An Experimental Study on the Prospect Theory)

  • 곽세영
    • 디지털융복합연구
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    • 제15권11호
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    • pp.107-112
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    • 2017
  • 이 논문은 전통적인 기대효용이론의 한계를 극복하기 위해 대안으로 제시된 Tversky와 Kahneman의 전망이론이 타당한지에 대해 실험연구를 통하여 검증하였다. 연구방법은 대학생 115명에게 가상적인 2개의 대안 중에서 하나를 선택하도록 하는 게임을 제시하였는데, 하나는 위험이 없는 안전한 투자안이며 다른 하나는 위험이 있는 투자안이다. 위험한 대안은 발생확률이 낮은 경우, 중간인 경우, 그리고 높은 경우로 구분하였으며, 게임의 금액도 이득이 발생하는 경우와 손실이 발생하는 경우로 나누었으며, 금액이 큰 경우와 작은 경우로 구분하여 실험을 하였다. 참가자들로부터 받은 응답을 최우추정법으로 분석한 결과, 이득의 상황에서 위험대안의 발생 가능성이 큰 경우에는 위험회피적, 위험대안의 발생 확률이 작은 때에는 위험선호적, 위험대안의 발생가능성이 작은 경우에는 위험회피적인 것으로, 그리고 위험대안의 발생확률이 중간인 경우에는 손실의 경우에만 통계적 유의성이 있었으며, 이득의 경우에는 유의적이지 않은 것으로 나타났다. 게임의 금액의 크기는 이득의 상황이건 손실의 경우이건 영향을 미치지 않았다. 따라서 본 연구의 결과는 Laury & Holt (2008)의 연구보다 대체로 더 강하게 전망이론을 지지하는 것으로 해석된다.