• Title/Summary/Keyword: pure birth process

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The Efficiency of Conditional MLE for Pure Birth Processes

  • Yoon, Jong-Ook;Kim, Joo-Hwan
    • Proceedings of the Korean Reliability Society Conference
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    • 2002.06a
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    • pp.367-386
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    • 2002
  • The Present paper is devoted to a study of the performance, in large samples, of a conditional maximum likelihood estimator(CMLE) for the parameter ${\lambda}$ in a pure birth processes(PBP). To conduct the conditional inference for the PBP, we drove the likelihood function of time-inhomogeneous Poisson processes. The limiting distributions of CMLE under the likelihoods $L_{t}$ or $\overline{L_{t}}$ are investigated. We found that the CMLE is asymptotically efficient with respect to the both $L_{t}$ or $\overline{L_{t}}$ under the efficiency criterion of Weiss & Wolfowitz(1974).

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The Formation of Korean-ness and the Advent of the Split-Consciousness: Embracing Multiple Realities in Yeom Sangseop's Mansejeon

  • Capener, Steven D.
    • Journal of English Language & Literature
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    • v.64 no.3
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    • pp.347-360
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    • 2018
  • It is ironic but not coincidental that the loss of Korean sovereignty to Japan roughly paralleled the formation of the idea of Korean ethnic identity. The coalescence of the content of this heretofore amorphous notion of a "pure" and transcendental (in the class sense) ethnic essence was, again ironically, the result both of ideologies taken from (or given by) Japan and resistance to Japanese encroachment. What resulted was the birth of a hybrid (sub) consciousness that was able to accommodate disparate, or even contradictory, realities simultaneously without any sense of contradiction (Christian and shaman for example). If, as Kim Chul has asserted, the colonial period was the most impactful in forming today's Korean society and "giving birth" to today's Korean, it becomes easy to imagine how this formation process included elements of Japanese and western culture. This meant that there was going to be an inevitable cognitive dissonance when these influences collided with the imperatives of ethnic nationalism which became the touchstone for a common Korean identity (North and South). This paper attempts to show how this split-consciousness was manifested in Yeom Sang seop's Manse jeon with the aim of identifying how it affects discourses related to nationalism and identity.

Approximate Approach to Calculating the Order Fill Rate under Purchase Dependence (구매종속성이 존재하는 상황에서 주문충족율을 계산하는 근사법에 관한 연구)

  • Park, Changkyu;Seo, Junyong
    • Journal of the Korean Operations Research and Management Science Society
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    • v.41 no.2
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    • pp.35-51
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    • 2016
  • This paper proposes a new approximate approach to calculate the order fill rate and the probability of filling an entire customer order immediately from the shelf in a business environment under purchase dependence characterized by customer purchase patterns observed in such areas as marketing, manufacturing systems, and distribution systems. The new approximate approach divides customer orders into item orders and calculates fill rates of all order types to approximate the order fill rate. We develop a greed iterative search algorithm (GISA) based on the Gauss-Seidel method to avoid dimensionality and prevent the solution divergence for larger instances. Through the computational analysis that compares the GISA with the simulation, we demonstrate that the GISA is a dependable algorithm for deriving the stationary joint distribution of on-hand inventories in the type-K pure system. We also present some managerial insights.

Approximate Calculation of Order Fill Rate under Purchase Dependence (구매종속성을 고려한 주문충족률의 근사적 계산)

  • Park, Changkyu
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.40 no.4
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    • pp.137-146
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    • 2017
  • For the competitive business environment under purchase dependence, this paper proposes a new approximate calculation of order fill rate which is a probability of satisfying a customer order immediately using the existing inventory. Purchase dependence is different to demand dependence. Purchase dependence treats the purchase behavior of customers, while demand dependence considers demand correlation between items, between regions, or over time. Purchase dependence can be observed in such areas as marketing, manufacturing systems, and distribution systems. Traditional computational methods have a difficulty of the curse of dimensionality for the large cases, when deriving the stationary joint distribution which is utilized to calculate the order fill rate. In order to escape the curse of dimensionality and protect the solution from diverging for the large cases, we develop a greedy iterative search algorithm based on the Gauss-Seidel method. We show that the greedy iterative search algorithm is a dependable algorithm to derive the stationary joint distribution of on-hand inventories in the retailer system by conducting a comparison analysis of a greedy iterative search algorithm with the simulation. In addition, we present some managerial insights such as : (1) The upper bound of order fill rate can be calculated by the one-item pure system, while the lower bound can be provided by the pure system that consists of all items; (2) As the degree of purchase dependence declines while other conditions remain same, it is observed that the difference between the lower and upper bounds reduces, the order fill rate increases, and the order fill rate gets closer to the upper bound.