• Title/Summary/Keyword: probability theory

Search Result 689, Processing Time 0.023 seconds

A Study on the Design Sea-state Determination Using the IFOSM Method (역 일계이차 모멘트법을 이용한 설계 해상상태의 결정에 관한 연구)

  • Lee, Jae-Ohk;Rho, Jun-Bumn
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.47 no.3
    • /
    • pp.447-453
    • /
    • 2010
  • Response-based approach is getting more preferred in determining the design sea-state for offshore structures because traditional environment-based approach is known to yield a much conservative design condition. This paper introduces the inverse first-order second-moment (IFOSM) method as a response-based approach, which is expected to give a more feasible design condition at the cost of reasonable number of motion analyses. The IFOSM method is based on the theory of probability and adopts an optimization scheme to determine the design point. Both the design maximum response and design sea state can be obtained straightforwardly from the optimum. The IFOSM method has been applied to a turret-moored FPSO's design problem and showed its effectiveness in practical use.

Simulation of Fuzzy Reliability Indexes

  • Dong, Yu-Ge;Chen, Xin-Zhao;Cho, Hyun-Deog;Kwon, Jong-Wan
    • Journal of Mechanical Science and Technology
    • /
    • v.17 no.4
    • /
    • pp.492-500
    • /
    • 2003
  • By means of the transformation from the problem of fuzzy reliability to the problem of general reliability, a model for analyzing fuzzy reliability is introduced in this paper Because of the complexity of the Problem of the fuzzy reliability, generally speaking, the analytical equations for calculating fuzzy reliability indexes of machine part cannot be obtained in most cases. Therefore, in this paper, an approach is given wherein progressions are employed to calculate them, or a simulation approach is used to estimate them by expressing general reliability indexes as progressions. By utilizing the approach put forwards in the paper, the calculating quantity for analyzing the fuzzy reliability will be reduced : even substantially reduced sometimes. Some examples are taken to explain the feasibility of the model and a simulation approach.

Probabilistic Modeling of Fiber Length Segments within a Bounded Area of Two-Dimensional Fiber Webs

  • Chun, Heui-Ju
    • Communications for Statistical Applications and Methods
    • /
    • v.18 no.3
    • /
    • pp.301-317
    • /
    • 2011
  • Statistical and probabilistic behaviors of fibers forming fiber webs of all kinds are of great significance in the determination of the uniformity and physical properties of the webs commonly found in many industrial products such as filters, membranes and non-woven fabrics. However, in studying the spatial geometry of the webs the observations must be theoretically as well as experimentally confined within a specified unit area. This paper provides a general theory and framework for computer simulation for quantifying the fiber segments bounded by the unit area in consideration of the "edge effects" resulting from the truncated length segments within the boundary. The probability density function and the first and second moments of the length segments found within the counting region were derived by properly defining the seeding region and counting region.

BAYESIAN CLASSIFICATION AND FREQUENT PATTERN MINING FOR APPLYING INTRUSION DETECTION

  • Lee, Heon-Gyu;Noh, Ki-Yong;Ryu, Keun-Ho
    • Proceedings of the KSRS Conference
    • /
    • 2005.10a
    • /
    • pp.713-716
    • /
    • 2005
  • In this paper, in order to identify and recognize attack patterns, we propose a Bayesian classification using frequent patterns. In theory, Bayesian classifiers guarantee the minimum error rate compared to all other classifiers. However, in practice this is not always the case owing to inaccuracies in the unrealistic assumption{ class conditional independence) made for its use. Our method addresses the problem of attribute dependence by discovering frequent patterns. It generates frequent patterns using an efficient FP-growth approach. Since the volume of patterns produced can be large, we propose a pruning technique for selection only interesting patterns. Also, this method estimates the probability of a new case using different product approximations, where each product approximation assumes different independence of the attributes. Our experiments show that the proposed classifier achieves higher accuracy and is more efficient than other classifiers.

  • PDF

위험보정 할인율을 이용한 실물옵션가치 결정

  • Kim, Gyu-Tae;Hwang, Hak-Jin;Jeong, Su-Hui
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2004.05a
    • /
    • pp.742-745
    • /
    • 2004
  • Most of options pricing theory including Black and Scholes continuous model and Cox, Ross, and Rubinstein(CRR)'s binomial lattice model were developed based on the notion that continually revised risk-free hedges involving options and stock should earn the risk-free interest rate. This notion is valid with the assumption that the investor's attitude toward risk is neutral. In reality, this assumption may be frequently violated. Therefore, Hodder, Mello, and Sick proposed the way to value real options using the risk-adjusted interest rate. However, they did not show how to derive the mathematical expression for it. In this paper, we will clearly present how to obtain the mathematical expression for the risk-adjusted interest rate for real options and demonstrate two numerical examples to show its applicability.

  • PDF

A Study on Fatigue Life Distribution of SM45C under Constant Rotating Bending Stress (SM45C의 회전굽힘 응력하의 피로수명분포에 관한 연구)

  • Pyo, Pyo,Dong-Keun;Park, Jong-U
    • Journal of Ocean Engineering and Technology
    • /
    • v.5 no.2
    • /
    • pp.85-93
    • /
    • 1991
  • 피로 파괴연구의 급격한 발전에 따라 최근의 기계나 구조물들은 많은 분야에서 손상허용설계원리에 근거하여 설계되고 있다. 이러한 상황 하에서 피로파손의 정확한 특성을 밝히는 것은 신뢰성을 고려한 기계나 구조물의 설계에 있어 가장 중요한 요인이 된다. 피로파손은 많은 랜덤요소를 내포하고 있으므로 실험결과 분석 및 수명예측을 분석하기 위해서는 통계학적 해석이 요구되고 있다. 본 연구의 목적은 회전굽힘피로시험을 수행하고 피로수명을 분석하는데 정규분포, 대수분포, 지수분포 및 Weibull분포를 이용하여 실험결과와 비교하고 파손확률을 찾는데 있다.

  • PDF

A Methodology for Analysis of Supply Chain System using Reliability Theory (신뢰성 이론을 이용한 공급 사슬 시스템 분석에 관한 연구)

  • 조민관;이영해
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2001.10a
    • /
    • pp.257-260
    • /
    • 2001
  • The primary objective of Supply Chain Management (SCM) is to optimize the cash, material and information flow considering all components of Supply Chain (SC) . The plan, established for achieving such objective, is called Supply Chain Planning (SCP) . This SCP gives each SC component specific volume or operation task, should be done in specific due date, for optimizing SC. In detail, the degree of accomplishment for SCP, depends on the SCP achievement of each SC components, is very close to successful SCM. However, this achievement is affected by uncertainties about time and volume. In general, reliability concepts means the probability that a product or system will perform its specified function under prescribed conditions without failure for a specified period of time. Therefore, the concept of Supply Chain Reliability (SCR) and an analytic methodology to calculate the degree of achievement SCP using reliability concept are proposed in this paper. SCR means that the degree of achievement for SCP considering all SC components in due date. SCR can be used to measure the performance of whole supply chain and indicate the direction of SCP.

  • PDF

Sequential Sampling Inspection Plans for Defectives (불량갯수에 대한 축차 샘플링검사)

  • Lee, Jae-Heon;Park, Chang-Soon;Park, Jong-Tae
    • Journal of Korean Society for Quality Management
    • /
    • v.24 no.4
    • /
    • pp.1-13
    • /
    • 1996
  • The sequential sampling inspection method is an extension of the double-sampling and multiple-sampling methods and its theory is based on the sequential probability ratio test(SPRT). In this paper, the characteristics of SPRT for testing the propotion of defectives are approximated by using the estimated excess over the boundaries. The use of the estimated excess shows good performances in estimating the operating characteristic function and the average sample number of SPRT compared to the method by neglecting the excess. It also makes it possible to determine the boundary values which satisfy the desired error probabilities.

  • PDF

Further Results on Characteristic Functions Without Contour Integration

  • Song, Dae-Kun;Kang, Seul-Ki;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
    • /
    • v.21 no.5
    • /
    • pp.461-469
    • /
    • 2014
  • Characteristic functions play an important role in probability and statistics; however, a rigorous derivation of these functions requires contour integration, which is unfamiliar to most statistics students. Without resorting to contour integration, Datta and Ghosh (2007) derived the characteristic functions of normal, Cauchy, and double exponential distributions. Here, we derive the characteristic functions of t, truncated normal, skew-normal, and skew-t distributions. The characteristic functions of normal, cauchy distributions are obtained as a byproduct. The derivations are straightforward and can be presented in statistics masters theory classes.

Estimation of Change Point in Process State on CUSUM ($\bar{x}$, s) Control Chart

  • Takemoto, Yasuhiko;Arizono, Ikuo
    • Industrial Engineering and Management Systems
    • /
    • v.8 no.3
    • /
    • pp.139-147
    • /
    • 2009
  • Control charts are used to distinguish between chance and assignable causes in the variability of quality characteristics. When a control chart signals that an assignable cause is present, process engineers must initiate a search for the assignable cause of the process disturbance. Identifying the time of a process change could lead to simplifying the search for the assignable cause and less process down time, as well as help to reduce the probability of incorrectly identifying the assignable cause. The change point estimation by likelihood theory and the built-in change point estimation in a control chart have been discussed until now. In this article, we discuss two kinds of process change point estimation when the CUSUM ($\bar{x}$, s) control chart for monitoring process mean and variance simultaneously is operated. Throughout some numerical experiments about the performance of the change point estimation, the change point estimation techniques in the CUSUM ($\bar{x}$, s) control chart are considered.