• Title/Summary/Keyword: Distribution Journal

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THE ASYMPTOTIC BEHAVIOUR OF THE AVERAGING VALUE OF SOME DIRICHLET SERIES USING POISSON DISTRIBUTION

  • Jo, Sihun
    • East Asian mathematical journal
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    • v.35 no.1
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    • pp.67-75
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    • 2019
  • We investigate the averaging value of a random sampling of a Dirichlet series with some condition using Poisson distribution. Our result is the following: Let $L(s)={\sum}^{\infty}_{n=1}{\frac{a_n}{n^s}}$ be a Dirichlet series that converges absolutely for Re(s) > 1. If $X_t$ is an increasing random sampling with Poisson distribution and there exists a number $0<{\alpha}<{\frac{1}{2}}$ such that ${\sum}_{n{\leq}u}a_n{\ll}u^{\alpha}$, then we have $${\mathbb{E}}L(1/2+iX_t)=O(t^{\alpha}{\sqrt{{\log}t}})$$, for all sufficiently large t in ${\mathbb{R}}$. As a result, we get the behaviour of $L({\frac{1}{2}}+it)$ such that L is a Dirichlet L-function or a modular L-function, when t is sampled by the Poisson distribution.

A Study on the ESS Construction and Proper Operation Considering the Load Characteristics of the Distribution Logistics Facilities (유통물류시설 부하특성을 고려한 ESS 구축 및 적정 운영 방안에 관한 연구)

  • Heo, Donghyeok;Choi, Okhwan;Kwon, Dongmyeong
    • Journal of Energy Engineering
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    • v.28 no.2
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    • pp.36-46
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    • 2019
  • Through the application of ESS-based fusion products to the demonstration site of the urban distribution logistics facilities for designing the peak control and the substitution before the emergency generator operation by product application and the effective application method by the product application and the data analysis by overcoming the spatial limitation of ESS installation and distribution, And the expansion of distribution and logistics facilities.

Automated Link Tracing for Classification of Malicious Websites in Malware Distribution Networks

  • Choi, Sang-Yong;Lim, Chang Gyoon;Kim, Yong-Min
    • Journal of Information Processing Systems
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    • v.15 no.1
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    • pp.100-115
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    • 2019
  • Malicious code distribution on the Internet is one of the most critical Internet-based threats and distribution technology has evolved to bypass detection systems. As a new defense against the detection bypass technology of malicious attackers, this study proposes the automated tracing of malicious websites in a malware distribution network (MDN). The proposed technology extracts automated links and classifies websites into malicious and normal websites based on link structure. Even if attackers use a new distribution technology, website classification is possible as long as the connections are established through automated links. The use of a real web-browser and proxy server enables an adequate response to attackers' perception of analysis environments and evasion technology and prevents analysis environments from being infected by malicious code. The validity and accuracy of the proposed method for classification are verified using 20,000 links, 10,000 each from normal and malicious websites.

Bayesian Estimation of Three-parameter Bathtub Shaped Lifetime Distribution Based on Progressive Type-II Censoring with Binomial Removal

  • Chung, Younshik
    • Journal of the Korean Data Analysis Society
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    • v.20 no.6
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    • pp.2747-2757
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    • 2018
  • We consider the MLE (maximum likelihood estimate) and Bayesian estimates of three-parameter bathtub-shaped lifetime distribution based on the progressive type II censoring with binomial removal. Jung, Chung (2018) proposed the three-parameter bathtub-shaped distribution which is the extension of the two-parameter bathtub-shaped distribution given by Zhang (2004). Jung, Chung (2018) investigated its properties and estimations. The maximum likelihood estimates are computed using Newton-Raphson algorithm. Also, Bayesian estimates are obtained under the balanced loss function using MCMC (Markov chain Monte Carlo) method. In particular, BSEL (balanced squared error loss) function is considered as a special form of balanced loss function given by Zellner (1994). For comparing theirs MLEs with the corresponding Bayes estimates, some simulations are performed. It shows that Bayes estimates is better than MLEs in terms of risks. Finally, concluding remarks are mentioned.

FEKETE-SZEGÖ INEQUALITIES OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS AND APPLICATIONS TO SOME DISTRIBUTION SERIES

  • SOUPRAMANIEN, T.;RAMACHANDRAN, C.;CHO, NAK EUN
    • Journal of applied mathematics & informatics
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    • v.39 no.5_6
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    • pp.725-742
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    • 2021
  • The aim of this article is to estimate the coefficient bounds of certain subclasses of analytic functions. We claim that this is a novel and unique effort in combining the coefficient functional along with the new domains and the probability distributions which have not been found or are available in the literature of coefficients bounds. Here the authors analyze these bounds in the special domains associated with exponential function and sine function. Further we obtain Fekete-Szegö inequalities for the defined subclasses of analytic functions defined through Poisson distribution series and Pascal distribution series.

Research on total resistance of ice-going ship for different floe ice distributions based on virtual mass method

  • Guo, Wei;Zhao, Qiao-sheng;Tian, Yu-kui;Zhang, Wan-chao
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.957-966
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    • 2020
  • This paper presents the virtual mass method to implement the prediction of total resistance for ice-going ship in floe ice region based on the combined method of CFD and DEM. Two ways of floe ice distribution are adopted for the analysis and comparison. The synthetic ice model test has been conducted to determine the optimal virtual mass coefficients for the two different floe ice distributions. Moreover, the further verification and prediction are developed in different ice conditions. The results show that, the fixed and random distributions in numerical method can simulate the interaction of ship and ice vividly, the trend of total resistance varying with the speed and ice concentration obtained by the numerical simulation is consistent with the model test. The random distribution of floe ice has higher similarity and better accuracy than fixed distribution.

A Study on Bayesian Reliability Evaluation of IPM using Simple Information (단순 수명정보를 이용한 IPM의 베이지안 신뢰도 평가 연구)

  • Jo, Dong Cheol;Koo, Jeong Seo
    • Journal of the Korean Society of Safety
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    • v.36 no.2
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    • pp.32-38
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    • 2021
  • This paper suggests an approach to evaluate the reliability of an intelligent power module with information deficiency of prior distribution and the characteristics of censored data through Bayesian statistics. This approach used a prior distribution of Bayesian statistics using the lifetime information provided by the manufacturer and compared and evaluated diffuse prior (vague prior) distributions. To overcome the computational complexity of Bayesian posterior distribution, it was computed with Gibbs sampling in the Monte Carlo simulation method. As a result, the standard deviation of the prior distribution developed using simple information was smaller than that of the posterior distribution calculated with the diffuse prior. In addition, it showed excellent error characteristics on RMSE compared with the Kaplan-Meier method.

Task Distribution Scheme based on Service Requirements Considering Opportunistic Fog Computing Nodes in Fog Computing Environments (포그 컴퓨팅 환경에서 기회적 포그 컴퓨팅 노드들을 고려한 서비스 요구사항 기반 테스크 분배 방법)

  • Kyung, Yeunwoong
    • Journal of Korea Multimedia Society
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    • v.24 no.1
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    • pp.51-57
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    • 2021
  • In this paper, we propose a task distribution scheme in fog computing environment considering opportunistic fog computing nodes. As latency is one of the important performance metric for IoT(Internet of Things) applications, there have been lots of researches on the fog computing system. However, since the load can be concentrated to the specific fog computing nodes due to the spatial and temporal IoT characteristics, the load distribution should be considered to prevent the performance degradation. Therefore, this paper proposes a task distribution scheme which considers the static as well as opportunistic fog computing nodes according to their mobility feature. Especially, based on the task requirements, the proposed scheme supports the delay sensitive task processing at the static fog node and delay in-sensitive tasks by means of the opportunistic fog nodes for the task distribution. Based on the performance evaluation, the proposed scheme shows low service response time compared to the conventional schemes.

Reverse tracking method for concentration distribution of solutes around 2D droplet of solutal Marangoni flow with artificial neural network (인공신경망을 통한 2D 용질성 마랑고니 유동 액적의 용질 농도 분포 역추적 기법)

  • Kim, Junkyu;Ryu, Junil;Kim, Hyoungsoo
    • Journal of the Korean Society of Visualization
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    • v.19 no.2
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    • pp.32-40
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    • 2021
  • Vapor-driven solutal Marangoni flow is governed by the concentration distribution of solutes on a liquid-gas interface. Typically, the flow structure is investigated by particle image velocimetry (PIV). However, to develop a theoretical model or to explain the working mechanism, the concentration distribution of solutes at the interface should be known. However, it is difficult to achieve the concentration profile theoretically and experimentally. In this paper, to find the concentration distribution of solutes around 2D droplet, the reverse tracking method with an artificial neural network based on PIV data was performed. Using the method, the concentration distribution of solutes around a 2D droplet was estimated for actual flow data from PIV experiment.

Titius-Bode's Relation in Exoplanetary Systems

  • Heon-Young Chang
    • Journal of Astronomy and Space Sciences
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    • v.40 no.2
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    • pp.67-77
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    • 2023
  • The Titius-Bode's relation has been historically successful in predicting the location of Ceres in the solar system, while its physical basis remains hidden. In this study, we attempt to answer the question of whether the Titius-Bode's relation is universally valid for exoplanetary systems with plural exoplanets. For this purpose, we statistically study the distribution of the ratio of the orbiting periods of two planets in 32 exoplanetary systems hosted by a single star. We only consider the period ratios derived from exoplanets orbiting a single star since celestial objects under investigation are kept as simple as possible and free from uncertainties such as the mass of the host star. We find that the distribution of period ratios of two exoplanets appears inconsistent with that derived from the Titius-Bode's relation using the χ2 test. We also found that the distance distribution in exoplanetary systems unlikely follows the uniform distribution or the Poisson's distribution. It is noted, however, that more rigorous statistical tests should be carried out to reach a more certain conclusion.