• Title/Summary/Keyword: exact distribution

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Distribution of Runs and Patterns in Four State Trials

  • Jungtaek Oh
    • Kyungpook Mathematical Journal
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    • v.64 no.2
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    • pp.287-301
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    • 2024
  • From the mathematical and statistical point of view, a segment of a DNA strand can be viewed as a sequence of four-state (A, C, G, T) trials. Herein, we consider the distributions of runs and patterns related to the run lengths of multi-state sequences, especially for four states (A, B, C, D). Let X1, X2, . . . be a sequence of four state independent and identically distributed trials taking values in the set 𝒢 = {A, B, C, D}. In this study, we obtain exact formulas for the probability distribution function for the discrete distribution of runs of B's of order k. We obtain longest run statistics, shortest run statistics, and determine the distributions of waiting times and run lengths.

Distribution of the Equivalent Rectangular Stress Block for High-Strength Polymer Concrete Beams (고강도 폴리머 콘크리트보의 등가직사각형 응력분포)

  • 김관호;연규석;김남길;조규우
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.915-920
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    • 2001
  • This study was conducted to analysis the distribution of the rectangular stress block for high-strength polymer concrete beam. C-shaped specimens were produced and tested to compute parameters of the rectangular stress block. They were $\kappa_{1}$ = 0.73, $\kappa_{3}$ = 0.94 and $\gamma$= 0.845, respectively. Experimental value of flexural strength of beam was same to be compared with theoretical value. But there is desirable to need many experimental data in order to exact design of polymer concrete structure.

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The study of the turbulence distribution of Feb. and Mar. (2월과 3월의 난류분포에 대한 연구)

  • Shin, D.W.
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.13 no.2
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    • pp.27-34
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    • 2005
  • This study is performed to analyze the turbulence distribution of Fev. & Mar. in 2000 by the analysis of the parameters related with flight data of FDR(Flight Data Recorder). In the analysis, we selected the Solid State Flight Data Recorder(SSFDR) & Universal Flight Data Recorder(UFDR) flight data of the exact same aircraft(capacity 120 persons). Through this study, we verified that turbulence is concerned with configuration of the ground and flight situation of aircraft.

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Analysis on the Change and Its Cause of Income Distribution before and after the Financial Crisis: Income Mobility Perspective

  • Yoo, Gyeongjoon
    • KDI Journal of Economic Policy
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    • v.26 no.1
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    • pp.141-190
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    • 2004
  • Income inequality in Korea has increased after the economic crisis, and the main reason for the widening of income distribution is due to the increase of the unemployed when analyzed using the Urban Household Report(UHR). However, income inequality has not decreased although the rate of unemployment decreased after 2000. Further data bases for income-related statistics are necessary to examine the exact causes of changing income inequality as a whole since the UHR covers only statistics on urban employees' wage and salary in Korea.

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Disturbance due to internal heat source in thermoelastic solid using dual phase lag model

  • Ailawalia, Praveen;Singla, Amit
    • Structural Engineering and Mechanics
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    • v.56 no.3
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    • pp.341-354
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    • 2015
  • The dual-phase lag heat transfer model is employed to study the problem of isotropic generalized thermoelastic medium with internal heat source. The normal mode analysis is used to obtain the exact expressions for displacement components, force stress and temperature distribution. The variations of the considered variables through the horizontal distance are illustrated graphically. The results are discussed and depicted graphically.

An Approximate Order Risk Evaluation Method for the General Multi- Echelon Distribution Supply Chain (다계층 분배형 공급사슬에서 주문리스크의 근사적 계산방법과 비용개선효과)

  • Seo, Yong-Won
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.636-647
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    • 2004
  • The objective of this paper is to provide an improved reorder decision policy for general multi-echelon distribution systems utilizing the shared stock information. It has been known that traditional reorder policies sometimes show poor performance in distribution systems. Thus, in our previous research we introduced the order risk policy which utilizes the shared stock information more accurately for the 2-echelon distribution system and proved the optimality. However, since the real world supply chain is generally composed with more than 2 echelons, we extend the order risk policy for the general multi-echelon systems. Since the calculation of the exact order risk value for general multi-echelon systems is very complex, we provide two approximation methods for the real-time calculation. Through the computational experiment comparing the order risk policy with the existing policies under various conditions, we show the performance of the order risk policy and analyze the value of the shared stock information varying with the characteristics of the supply chain.

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The Measurement of the Grounding Resistance Using the Ground Current of the Distribution System (접지선 전류를 시험 전류원으로 활용한 접지저항 측정기법에 관한 연구)

  • Kang, Moon-Ho
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2004.11a
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    • pp.293-295
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    • 2004
  • Public utilities adopt the grounding rules ; class I, class II, class III and special class III, and install the grounding electrodes in distribution facilities. To keep the safety of the human and the facilities, Public utilities also manage the value of ground resistance in distribution system biennially. At present the Hook-On meter is normally used to measure the ground resistance although it has ${\pm}5[%]$ measuring error and it can not measure the exact value when the current is over 1[A]. In addition it is very difficult to use the fall-of-potential method in distribution system. In this paper we propose the new measurement method using ground current of distribution system as the current source.

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An Improved Reorder Policy for the General Multi-Echelon Distribution Supply Chain based on the Order Risk (다계층 분배형 공급사슬의 운영 개선을 위한 주문리스크 기반의 재주문정책과 실용적 근사방법)

  • 서용원
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.11a
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    • pp.159-165
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    • 2003
  • The objective of this paper is to provide an improved reorder decision policy for general multi-echelon distribution systems utilizing the shared stock information. Since it has been known that traditional reorder policies sometimes show poor performance in distribution systems, in our previous research we introduced the order risk policy which utilizes the shared stock information more accurately f3r the 2-echelon distribution system and proved the optimality. However, since the real world supply chain is generally composed with more than 2 echelons, we extend the order risk policy for the general multi-echelon systems. Since the calculation of the exact order risk value fur general multi-echelon systems is very complex, we provide two approximation methods. Through the computational experiment comparing the order risk policy with the existing policies under various conditions, we show the performance of the order risk policy and analyze the value of the shared stock information varying with the characteristics of the supply chain.

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RELATIONS OF DAGUM DISTRIBUTION BASED ON DUAL GENERALIZED ORDER STATISTICS

  • KUMAR, DEVENDRA
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.477-493
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    • 2017
  • The dual generalized order statistics is a unified model which contains the well known decreasingly ordered random variables like order statistics and lower record values. With this definition we give simple expressions for single and product moments of dual generalized order statistics from Dagum distribution. The results for order statistics and lower records are deduced from the relations derived and some computational works are also carried out. Further, a characterizing result of this distribution on using the conditional moment of the dual generalized order statistics is discussed. These recurrence relations enable computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we tabulate the means, variances, skewness and kurtosis of order statistics and record values of the Dagum distribution.

An Improved Reorder Policy for the General Multi-Echelon Distribution Supply Chain Based on the Order Risk (일반적 다계층 분배형 공급사슬에서 주문리스크 기반의 개선된 재주문정책에 관한 연구)

  • Seo, Yong-Won
    • IE interfaces
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    • v.17 no.3
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    • pp.359-374
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    • 2004
  • The objective of this paper is to provide an improved reorder decision policy for general multi-echelon distribution systems utilizing the shared stock information. It has been known that traditional reorder policies sometimes show poor performance in distribution systems. Thus, in our previous research we introduced the order risk policy which utilizes the shared stock information more accurately for the 2- echelon distribution system and proved the optimality. However, since the real world supply chain is generally composed with more than 2 echelons, we extend the order risk policy for the general multi-echelon systems. Since the calculation of the exact order risk value for general multi-echelon systems is very complex, we provide two approximation methods for the real-time calculation. Through the computational experiment comparing the order risk policy with the existing policies under various conditions, we show the performance of the order risk policy and analyze the value of the shared stock information varying with the characteristics of the supply chain.