• Title/Summary/Keyword: distribution process

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Stationary distribution of the surplus process in a risk model with a continuous type investment

  • Cho, Yang Hyeon;Choi, Seung Kyoung;Lee, Eui Yong
    • Communications for Statistical Applications and Methods
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    • v.23 no.5
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    • pp.423-432
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    • 2016
  • In this paper, we stochastically analyze the continuous time surplus process in a risk model which involves a continuous type investment. It is assumed that the investment of the surplus to other business is continuously made at a constant rate, while the surplus process stays over a given sufficient level. We obtain the stationary distribution of the surplus level and/or its moment generating function by forming martingales from the surplus process and applying the optional sampling theorem to the martingales and/or by establishing and solving an integro-differential equation for the distribution function of the surplus level.

Cusum Control Chart for Monitoring Process Variance (공정분산 관리를 위한 누적합 관리도)

  • Lee, Yoon-Dong;Kim, Sang-Ik
    • Journal of Korean Society for Quality Management
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    • v.33 no.3
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    • pp.149-155
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    • 2005
  • Cusum control chart is used for the purpose of controling the process mean. We consider the problem related to cusum chart for controling process variance. Previous researches have considered the same problem. The main difficulty shown in the related researches was to derive the ARL function which characterizes the properties of the chart. Sample variance, differently with sample mean, follows chi-squared type distribution, even when the quality characteristics are assumed to be normally distributed. The ARL function of cusum is described by a type of integral equation. Since the solution of the integral equation for non-normal distribution is not known well, people used simulation method instead of solving the integral equation directly, or approximation method by taking logarithm of the sample variance. Recently a new method to solve the integral equation for Erlang distribution was published. Here we consider the steps to apply the solution to the problem of controling process variance.

Cusum control chart for monitoring process variance (공정분산 관리를 위한 누적합 관리도)

  • Lee, Yoon-Dong;Kim, Sang-Ik
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2006.04a
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    • pp.135-141
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    • 2006
  • Cusum control chart is used for the purpose of controling the process mean. We consider the problem related to cusum chart for controling process variance. Previous researches have considered the same problem. The main difficulty shown in the related researches was to derive the ARL function which characterizes the properties of the chart. Sample variance, differently with sample mean, follows chi-squared type distribution, even when the quality characteristics are assumed to be normally distributed. The ARL function of cusum is described by a type of integral equation. Since the solution of the integral equation for non-normal distribution is not known well, people used simulation method instead of solving the integral equation directly, or approximation method by taking logarithm of the sample variance. Recently a new method to solve the integral equation for Erlang distribution was published. Here we consider the steps to apply the solution to the problem of controling process variance.

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Note on the Transformed Geometric Poisson Processes

  • Park, Jeong-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.2
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    • pp.135-141
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    • 1997
  • In this paper, it is investigated the properties of the transformed geometric Poisson process when the intensity function of the process is a distribution of the continuous random variable. If the intensity function of the transformed geometric Poisson process is a Pareto distribution then the transformed geometric Poisson process is a strongly P-process.

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SOME LIMIT THEOREMS FOR POSITIVE RECURRENT AGE-DEPENDENT BRANCHING PROCESSES

  • Kang, Hye-Jeong
    • Journal of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.25-35
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    • 2001
  • In this paper we consider an age dependent branching process whose particles move according to a Markov process with continuous state space. The Markov process is assumed to the stationary with independent increments and positive recurrent. We find some sufficient conditions for he Markov motion process such that the empirical distribution of the positions converges to the limiting distribution of the motion process.

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A Study of the Effects of Process Variables on Temperature and Magnetic-flux Distribution in Induction Heating of Steel Plate (강판의 유도가열에서 공정변수가 온도 및 자속분포에 미치는 영향에 관한 연구)

  • 배강열;이태환;양영수
    • Journal of Welding and Joining
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    • v.19 no.5
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    • pp.526-533
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    • 2001
  • Induction heating of float metal products has an increasing importance in many applications, because it generates the heat within workpiece itself and provides high power densities and productivity. In this study, the induction heating of a steel plate to simulate the line heating is investigated by means of the Finite Element Analysis of the magnetic field and temperature distribution. A numerical model is used to calculate temperature distribution within the steel plate during the induction heating with a specially designed inductor. The effects of materital properties depending on the temperature and magnetic field are taken into consideration in an iterative manner. The simulation results show good magnetic field with experimental data and provide good understanding of the process. Since the numerical model demonstrates to be suitable for analysis of induction heating process, the effects of air gap and frequency on magnetic-flux and power-density distribution are also investigated. It is revealed that these process parameters have an important roles on the electro-magnetic field and power-density distribution governing the temperature distribution of the plate.

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Monitoring the asymmetry parameter of a skew-normal distribution

  • Hyun Jun Kim;Jaeheon Lee
    • Communications for Statistical Applications and Methods
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    • v.31 no.1
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    • pp.129-142
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    • 2024
  • In various industries, especially manufacturing and chemical industries, it is often observed that the distribution of a specific process, initially having followed a normal distribution, becomes skewed as a result of unexpected causes. That is, a process deviates from a normal distribution and becomes a skewed distribution. The skew-normal (SN) distribution is one of the most employed models to characterize such processes. The shape of this distribution is determined by the asymmetry parameter. When this parameter is set to zero, the distribution is equal to the normal distribution. Moreover, when there is a shift in the asymmetry parameter, the mean and variance of a SN distribution shift accordingly. In this paper, we propose procedures for monitoring the asymmetry parameter, based on the statistic derived from the noncentral t-distribution. After applying the statistic to Shewhart and the exponentially weighted moving average (EWMA) charts, we evaluate the performance of the proposed procedures and compare it with previously studied procedures based on other skewness statistics.

Status of ICT Convergence Smart Quality Distribution Technology for Food Quality and Safety Management

  • Kim, Jong Hoon;Kim, Ji Young;Kim, Byeong Sam
    • Agribusiness and Information Management
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    • v.6 no.2
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    • pp.13-23
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    • 2014
  • The world is in the process of a structural change related to ICT convergence knowledge industries. ICT is leading to the creation of new products and services, and is making our lives more convenient, safer, and more efficient. In advanced countries, many studies have been conducted with the goal of developing new business models converged with ICT, and this is also the case in the food industry. Korea possesses world-leading ICT, and if this ICT is applied to the food industry, a world-class new business model can be developed. The u-Food System, which is in the process of development in Korea, is a next-generation food system that can allow food providers, consumers, and distributors to access various types of information about food products, including traceability, distribution, safety, quality, and freshness, and manage this information. It is a future food system that converges ICT, biotechnology and sensing technology with food. Based on the u-Food System, this paper will introduce the status of current smart quality distribution technologies that converge ICT (such as sensor tag, sensor network, LBS, GIS, and CDMA) with food technologies (such as traceability, quality, distribution management) to manage the safety and quality of fresh food in the distribution process.

Factors of Successful Online Marketing Strategy to Food Distribution SMEs

  • PANAWAN, Chusripat;PEERAWAT, Chailom
    • Journal of Distribution Science
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    • v.20 no.12
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    • pp.71-79
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    • 2022
  • Purpose: This study aimed to apply factors of successful online marketing strategy for food distribution SMEs and the effects of these successful strategies to achieve higher performances. Research design, data, and methodology: Questionnaires were used to collect data from 400 samples of SMEs in Thailand. We employed structural Equation Modeling techniques for data analysis. Results: The results revealed that distribution strategies directly affected the success of business operations, as follows: 1) Customer communication channels, product variety, preserved privacy, and personal service had direct positive effects on the distribution success in terms of financial perspective, customer perspective, internal process perspective, and earning and growth perspectives; 2) Ability to learn a competitor had a positive direct relationship with the distribution success in terms of financial perspective and learning and growth perspectives, excluding customer perspective and internal process perspective; and 3) Responses to market on time had a positive and direct influence on distribution success in terms of customer, internal process perspective and learning and growth perspectives excluding financial perspective. Conclusions: This research has made an essential contribution to SMEs that they should focus on and adopt these 6ODS+4BSC concepts as development guidelines for food distribution SMEs to be more efficient and effective.

Tool condition monitoring using parameters of beta distribution in gear shaving process (기어 세이빙 공정에서 베타 확률 분포를 이용한 공구 상태 검출)

  • Choi, Deok-Ki;Kim, Seong-Jun;Oh, Young-Tak
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1069-1074
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    • 2008
  • Tool condition monitoring (TCM) is crucial for improvement of productivity in manufacturing process. However, TCM techniques have not been applied to monitor tool failure in an industrial gear shaving application. Therefore, this work studied a statistical TCM method for monitoring gear shaving tool condition. The method modeled the shaving process using beta probability distribution in order to extract the effective features. Modeling includes rectifying for converting a bi-modal distribution into a unimodal distribution, estimating parameters of beta probability distribution based on method of moments. The usefulness of features obtained from the proposed method was evaluated and discussed.

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