• Title/Summary/Keyword: arithmetic mean

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Analysis of BOD Mean Concentration and Confidence Interval using Bootstrap Technique (Bootstrap 기법을 이용한 BOD 평균 농도 및 신뢰구간 분석)

  • Kim, Kyung Sub
    • Journal of Korean Society on Water Environment
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    • v.26 no.2
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    • pp.297-302
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    • 2010
  • It is very important to know mean and confidence interval of water-quality constituents such as BOD for water-quality control and management of rivers and reservoirs effectively. The mean and confidence interval of BOD at Anseong2 and Hwangguji3 sampling stations which are located at the border of local governments in Anseong Stream were estimated and analyzed in this paper using Bootstrap technique which is one of non-parametric statistics. The results of Bootstrap were compared with arithmetic mean, geometric mean, Biweight method mean as a point estimator and distribution mean came from the appropriate probability distribution of Log-normal. In Bootstrap technique 12 data set was randomly selected in each year and 1000 samples was produced to get parameter of population. Visual Basic for Applications (VBA) of Microsoft Excel was utilized in Bootstrap. It was revealed that the Bootstrap technique can be used to explain more rigorously and robustly the achievement or violation of BOD target concentration in Total Maximum Daily Load (TMDL).

Mean Annual Precipitation Estimatis of Korea (한국년평균 강수량의 추정)

  • Kim, Seung;Kim, Gyu-Ho
    • Proceedings of the Korea Water Resources Association Conference
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    • 1989.07a
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    • pp.5-16
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    • 1989
  • This Study estimates the mean annual pricipitation of Korea. Precipitation data observed at the 60 Korea Meteorological Service stations during 84-year period(1905-1988) are used. Missing or unobserved values are estimated using regression analysis with principal componets, and the annual precipitation means obtatined by arithmetic, Thiessen and isobyetal methods are compared.

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A Study on the Utilization of Compatibility Metric in the AHP (AHP의 일치성 척도의 활용에 관한 연구)

  • Yoon, Min-Suk
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.181-184
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    • 2004
  • This study proposes two utilization ways of Saaty's compatibility metric to an entire hierarchy: (a) composite mode of all priorities and compatibility indices pertaining to a hierarchy, (b) arithmetic mean of compatibility indices along the hierarchy levels using a reduced elementwise operation of two eigenvectors.

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Development of Radionuclide Inventory Declaration Methods Using Scaling Factors for the Korean NPPs - Scope and Activity Determination Method - (국내 원전 대상의 척도인자를 활용한 핵종재고량 규명 방법의 개발 - 범위 및 방사능 결정 방법-)

  • Hwang, Ki-ha;Lee, Sang-chul;Kang, Sang-hee;Lee, Kun-Jai;Jeong, Chan-woo;Ahn, Sang-myeon;Kim, Tae-wook;Kim, Kyoung-doek;Herr, Young-hoi
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.2 no.1
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    • pp.77-85
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    • 2004
  • Regulations and guidelines for radioactive waste disposal require detailed information about the characteristics of radioactive waste drums prior to transport to the disposal sites. However, estimation of radionuclide concentrations in the drummed radioactive waste is difficult and unreliable. In order to overcome this difficulty, scaling factor (SF) method has been used to assess the activities of radionuclides, which could not be directly analyzed. A radioactive waste assay system has been operated at Korean nuclear power plant (KORI site) since 1996 and consolidated SF concept has played a dominant role in the determination of radionuclide concentrations. However, SFs are somewhat dispersive and limited in KORI site. Therefore establishment of the assay system using more improved SFs is planned and progressed. In this paper, the scope of research is briefly introduced. For the selection of more reliable activity determination method, the accuracy of predicted SF values for each activity determination method is compared. From the comparison of each activity determination method, it is recommended that SF determination method should be changed from the arithmetic mean to the geometrical mean for more reliable estimation of radionuclide activity. Arithmetic mean method and geometric mean method are compared based on the data set in KORI system. And, this change of SF determination method will prevent an inordinate over-estimation of radionuclide inventory in radwaste drum.

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Distributed Arithmetic Adaptive Digital Filter Using FPGA

  • Chivapreecha, Sorawat;Piyamahachot, Satianpon;Namcharoenwattanakul, Anekchai;Chaimanee, Deow;Dejhan, Kobchai
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1577-1580
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    • 2004
  • This paper proposes a design and implementation of transversal adaptive digital filter using LMS (Least Mean Squares) adaptive algorithm. The filter structure is based on Distributed Arithmetic (DA) which is able to calculate the inner product by shifting and accumulating of partial products and storing in look-up table, also the desired adaptive digital filter will be multiplierless filter. In addition, the hardware implementation uses VHDL (Very high speed integrated circuit Hardware Description Language) and synthesis using FLEX10K Altera FPGA (Field Programmable Gate Array) as target technology and uses Leonardo Spectrum and MAX+plusII program for overall development. The results of this design are shown that the speed performance and used area of FPGA. The experimental results are presented to demonstrate the feasibility of the desired adaptive digital filter.

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Statistical Inference for an Arithmetic Process

  • Francis, Leung Kit-Nam
    • Industrial Engineering and Management Systems
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    • v.1 no.1
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    • pp.87-92
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    • 2002
  • A stochastic process {$A_n$, n = 1, 2, ...} is an arithmetic process (AP) if there exists some real number, d, so that {$A_n$ + (n-1)d, n =1, 2, ...} is a renewal process (RP). AP is a stochastically monotonic process and can be used for modeling a point process, i.e. point events occurring in a haphazard way in time (or space), especially with a trend. For example, the vents may be failures arising from a deteriorating machine; and such a series of failures id distributed haphazardly along a time continuum. In this paper, we discuss estimation procedures for an AP, similar to those for a geometric process (GP) proposed by Lam (1992). Two statistics are suggested for testing whether a given process is an AP. If this is so, we can estimate the parameters d, ${\mu}_{A1}$ and ${\sigma}^{2}_{A1}$ of the AP based on the techniques of simple linear regression, where ${\mu}_{A1}$ and ${\sigma}^2_{A1}$ are the mean and variance of the first random variable $A_1$ respectively. In this paper, the procedures are, for the most part, discussed in reliability terminology. Of course, the methods are valid in any area of application, in which case they should be interpreted accordingly.

Cpk Index Estimation under Tw (the weakest t-norm)-based Fuzzy Arithmetic Operations

  • Hong, Dug-Hun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.8 no.3
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    • pp.170-174
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    • 2008
  • The measurement of performance of a process considering both the location and the dispersion of information about the process is referred to as the process capacity indices (PCIs) of interest, $C_{pk}$. This information is presented by the mean and standard deviation of the producing process. Linguistic variables are used to express the evaluation of the quality of a product. Consequently, $C_{pk}$ is defined with fuzzy numbers. Lee [Eur. J. Oper. Res. 129(2001) 683-688] constructed the definition of the $C_{pk}$ index estimation presented by fuzzy numbers and approximated its membership function using the "min" - norm based Zadeh's extension principle of fuzzy sets. However, Lee's result was shown to be invalid by Hong [Eur. J. Oper. Res. 158(2004) 529-532]. It is well known that $T_w$ (the weakest t-norm)-based addition and multiplication preserve the shape of L-R fuzzy numbers. In this paper, we allow that the fuzzy numbers are of L-R type. The object of the present study is to propose a new method to calculate the $C_{pk}$ index under $T_w-based$ fuzzy arithmetic operations.

Geometric Means of Positive Operators

  • Nakamura, Noboru
    • Kyungpook Mathematical Journal
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    • v.49 no.1
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    • pp.167-181
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    • 2009
  • Based on Ricatti equation $XA^{-1}X=B$ for two (positive invertible) operators A and B which has the geometric mean $A{\sharp}B$ as its solution, we consider a cubic equation $X(A{\sharp}B)^{-1}X(A{\sharp}B)^{-1}X=C$ for A, B and C. The solution X = $(A{\sharp}B){\sharp}_{\frac{1}{3}}C$ is a candidate of the geometric mean of the three operators. However, this solution is not invariant under permutation unlike the geometric mean of two operators. To supply the lack of the property, we adopt a limiting process due to Ando-Li-Mathias. We define reasonable geometric means of k operators for all integers $k{\geq}2$ by induction. For three positive operators, in particular, we define the weighted geometric mean as an extension of that of two operators.

Ship Repair Workers' Exposure to Asbestos by a Systematic Review in Korea (문헌 조사를 통한 국내 선박 수리 작업자들의 석면 노출 특성 분석)

  • Choi, Sang-Jun;Kwon, Hyo-Jung;Gwak, Su-Gyeong
    • Journal of the Korea Safety Management & Science
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    • v.14 no.3
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    • pp.135-141
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    • 2012
  • This study was conducted to evaluate the characteristics of exposure to asbestos for ship repair workers in Korea by a systematic review. The number of articles studying asbestos exposure levels from ship repair workplaces was found to be 4. All asbestos concentration reported as either geometric mean and geometric standard deviation or ranges were transformed to arithmetic mean to estimate exposure level. In addition, weighted arithmetic means(WAMs) were calculated by weighing of the different number of samples. The WAM concentrations were 2.746 f/cc during asbestos dismantling work, 0.034 f/cc before asbestos dismantling work and 0.065 f/cc after working respectively. The maximum airborne concentration of asbestos during asbestos removal work was 7.02 f/cc which was 70 times higher than the occupational exposure limit of Korea, 0.1 f/cc. This study recommends that retrospective exposure to asbestos based on various ship types and operations should be assessed.