• 제목/요약/키워드: general gamma distribution

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신용카드 부가서비스 요율 분석 방법론에 대한 연구 (A Study on Cost Rate Analysis Methodology of Credit Card Value Proposition)

  • 이찬경;노형봉
    • 품질경영학회지
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    • 제46권4호
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    • pp.797-820
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    • 2018
  • Purpose: It is to seek for an appropriate cost rate analysis methodology of credit card value propositions in Korea. For this issue, it is claimed that methodologies based on probability distribution is more suitable than methodologies based on data-mining. The analysis model constructed for the cost rate estimation is called VCPM model. Methods: The model includes two major variables denoted as S and P. S is monthly credit card usage amount. P stands for the proportion of usage amount at special merchants over the whole monthly usage amount. The distributions assumed for P are positively skewed distributions such as exponential, gamma and lognormal. The major inputs to the model are also derived from S and P, which are E(S) and the aggregate proportion of usage amount at special merchants over the total monthly usage amount. Results: When the credit card's value proposition is general discount, the VCPM model fits well and generates reasonable cost rate(denoted as R). However, it seems that the model does not work well for other types of credit cards. Conclusion: The VCPM model is reliable for calculating cost rate for credit cards with positively skewed distribution of P, which are general discount card. However, another model should be built for cards with other types of distributions of P.

작은 샘플 크기의 One-shot Devices를 위한 베이지안 신뢰도 추정 (Bayesian Reliability Estimation for Small Sample-Sized One-shot Devices)

  • 문병민;선은주;배석주
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제13권2호
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    • pp.99-107
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    • 2013
  • One-shot device is required to successfully perform its function only once at the moment of use. The reliability of a one-shot device should be expressed as a probability of success. In this paper, we propose a bayesian approach for estimating reliability of one-shot devices with small sample size. We employ a gamma prior to obtain the posterior distribution. Finally, we compare the accuracy of the proposed method with general maximum likelihood method.

On the Dependence Structure of Concornitants of Order Statistics

  • Song-Ho Kim;Tae-Sung Kim
    • Journal of the Korean Statistical Society
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    • 제25권2호
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    • pp.255-263
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    • 1996
  • Let $(X_{1j}, X_{2j}, … , X_{nj}, Y_j/)$j = 1, 2, … , n, be a sample of size n on an (m + l)-dimensional vector $(X_1, X_2, … , X_m, Y)$, m .geq. 1. If $Y_{(r)}$ denote the rth order statistic from Y, then the $X_{[r:n]}$ paired with $Y_(r)$ is termed the concomitant vector of the order statistics. The general distributions of concomitant of order statistics will be found. The mean, variance and covariance of$X_{[r:n]}$ Will be studied. Then we will apply the results to the multivariate normal variate case.e.

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Tight Bounds and Invertible Average Error Probability Expressions over Composite Fading Channels

  • Wang, Qian;Lin, Hai;Kam, Pooi-Yuen
    • Journal of Communications and Networks
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    • 제18권2호
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    • pp.182-189
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    • 2016
  • The focus in this paper is on obtaining tight, simple algebraic-form bounds and invertible expressions for the average symbol error probability (ASEP) of M-ary phase shift keying (MPSK) in a class of composite fading channels. We employ the mixture gamma (MG) distribution to approximate the signal-to-noise ratio (SNR) distributions of fading models, which include Nakagami-m, Generalized-K ($K_G$), and Nakagami-lognormal fading as specific examples. Our approach involves using the tight upper and lower bounds that we recently derived on the Gaussian Q-function, which can easily be averaged over the general MG distribution. First, algebraic-form upper bounds are derived on the ASEP of MPSK for M > 2, based on the union upper bound on the symbol error probability (SEP) of MPSK in additive white Gaussian noise (AWGN) given by a single Gaussian Q-function. By comparison with the exact ASEP results obtained by numerical integration, we show that these upper bounds are extremely tight for all SNR values of practical interest. These bounds can be employed as accurate approximations that are invertible for high SNR. For the special case of binary phase shift keying (BPSK) (M = 2), where the exact SEP in the AWGN channel is given as one Gaussian Q-function, upper and lower bounds on the exact ASEP are obtained. The bounds can be made arbitrarily tight by adjusting the parameters in our Gaussian bounds. The average of the upper and lower bounds gives a very accurate approximation of the exact ASEP. Moreover, the arbitrarily accurate approximations for all three of the fading models we consider become invertible for reasonably high SNR.

접촉식쌍성의 질량비 분포에 따른 일반적 특성 (GENERAL PROPERTIES OF CONTACT BINARY SYSTEM FOR MASS RATIO DISTRIBUTION)

  • 오규동
    • Journal of Astronomy and Space Sciences
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    • 제16권1호
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    • pp.31-40
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    • 1999
  • Svechnikov & Kuznetsova(1990)의 목록으로부터 761개의 접촉식쌍성을 택하여 그의 물리적 특성에 따라 공통 복사대기층을 갖는 CE형과 공통 대류대기층을 갖는 CW형으로 분류하여 질량비에 따른 그의 특성을 분석하였다. 그 결과 분광형이 조기형인 CE형은 만기형인 CW 형에 비교하여 주성과 반성의 온도차($$\mid${Delta}T$\mid$$)가 크며 주기는 길게 나타났다. 그런데 CW형은 CE형에 비교하여 질량비가 다소 좁은 범위(0.3$L_2/L_1=0.01+0.89q$의 상관 관계를 보였다. 한편, 질량비에 따른 반경과의 관계에서는 CE형과 CWs형의 차이의 원인이 반성의 반경 때문임을 확인하였으며, CW형 접촉식쌍성의 질량비에 따른 두 별의 반경의 합과 반경비와의 새로운 관계를 제시하였다.

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침강 장-흐름 분획법을 이용한 CdS 양자점 입자의 특성 분석 (Characterization of CdS-quantum dot particles using sedimentation field-flow fractionation (SdFFF))

  • 최재영;김도균;정의창;권해두;이승호
    • 분석과학
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    • 제28권1호
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    • pp.33-39
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    • 2015
  • CdS 양자점 입자는 특정 파장의 빛을 방출하는 반도체 나노 결정으로 이러한 광학적 특성 때문에 질병 진단 시약, 광학기술, 미디어 산업 및 태양전지와 같은 다양한 분야에서 응용되는 물질이다. 방출하는 빛의 색은 입자의 크기에 의존하기 때문에 CdS 양자점 입자의 크기 및 크기분포를 정확하게 분석하는 것이 필요하다. 본 연구에서는 CdS 양자점 입자를 감마-선 조사법(${\gamma}$-ray irradiation method)을 이용하여 합성하고, 크기 및 크기 분포도를 결정하기 위하여 침강 장-흐름 분획법 (SdFFF)를 이용하였다. 침강 장-흐름 분획법을 이용한 CdS 양자점 입자의 정확한 분석을 위하여 분석조건의 최적화(유속, 외부장 세기, field-programming)에 대하여 조사되었다. 투과 전자 현미경(transmission electron microscopy, TEM)으로 확인된 단일 입자의 크기는 ~4 nm 였으며, 단일 입자의 응집으로 생성된 2차 입자 크기의 평균은 159 nm로 확인되었다. 첨가된 입자 안정제의 농도가 증가할수록 CdS 양자점 입자의 크기가 감소하는 경향성을 확인하였다. 침강 장-흐름 분획법, 투과 전자 현미경, 그리고 동적 광 산란법(dynamic light scattering, DLS)으로 결정된 CdS 양자점 크기는 각각 126, 159, 그리고 152 nm 였다. 본 연구의 결과로 침강 장-흐름 분획법은 비교적 넓은 크기분포를 갖는 다양한 종류의 무기입자의 크기 및 크기 분포도를 결정하는데 유용한 방법임을 확인하였다.

공기 변화량 분포를 이용한 효율적인 인버터타입 압축기 시스템 (Efficient Inverter Type Compressor System using the Distribution of the Air Flow Rate)

  • 심재용;김용철;노영빈;정회경
    • 한국정보통신학회논문지
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    • 제19권10호
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    • pp.2396-2402
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    • 2015
  • 공기압축기는 공장 및 설비 가동에 사용되는 필수 장비로써 미국 산업용 전기의 약 30%를 소비하고 있으며, 소비전력 절감을 위해 고급화된 기술 방안들이 제시되고 있다. 압축공기 변화량의 진폭변동이 작을 경우 시스템 안정성이 증가하며, 소비전력을 절감시켜 효율적인 에너지 시스템 설계를 가능하게 한다. 일반적으로 통계적 분석에서는 데이터의 분포를 정규분포, 로그정규분포, 감마분포 등을 이용하여 나타내지만, 압축공기 변화량을 나타내는 데이터처럼 긴 꼬리를 가지는 경우, 한 가지의 분포를 적용하는 것은 적합하지 않을 수 있다. 이에 따라, 본 논문에서는 압축공기의 변화량과 관련된 데이터를 두 개의 영역으로 나눈 혼합분포함수를 적용하여 평균전력 절감 가능성을 제시하였다. 이는 압축공기 변화량이 충분히 큰 수를 초과하는 영역에서는 가우시안 분포보다는 일반 파레토 분포가 더 정확한 퀀타일 값을 추정하는 데에 적합하기 때문이다.

일부 K-DRG 환례의 의료기관 유형별 수술 및 처치 진료비의 변이 분석 모형 (Statistical Model for Analysing Variations in Inpatient Procedure and Operation Costs of Some Selected K-DRGs by Type of Hospitals)

  • 이영조;노맹석;김윤;이무송;이상일
    • 보건행정학회지
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    • 제8권1호
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    • pp.1-14
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    • 1998
  • Analysis of practice variations has been one of important issues in trying to contain costs as well as to manage quality in health care. This study was conducted to provide statistical model for analysing variations in inpatient costs by type of hospitals. Four K-DRGs including Cesarean section, appendectomy, cataract extraction, and pediatric pneumonia with CC class 0 were selected, and means and dispersions of inpatient procedure and operation costs were simultaneously compared between type of hospitals. The results indicated that joint modelling of means and dispersions by gamma distribution was a very useful analytic tool for identifying factors which might have relationship with variations in inpatient costs. This model can be expanded to test the significance of several independent variables in analysing cost variations. In surgical conditions, means and unit variations of procedure and operation costs showed consistent pattern which was tertiarty hospital, general hospital, and hospital in descending order. Different findings were identified in pediatric pneumonia, from which mean and unit variation of procedure and operation cost was the highest in general hospital. The practical implication of this difference could not be drawn from this study. It will be done by further sophisticated researches. In order to develop health policy for cost containment and quality management in Korea, it is essential to find out manageable factors affecting variations in practice patterns which include characteristics of population, providers, regions, and so on. The statistical model presented in this study will give health services researchers useful insights for future investigations in analysing cost variations.

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Analysis of changes in dose distribution due to respiration during IMRT

  • Shin, Jung-Suk;Shin, Eun-Hyuk;Han, Young-Yih;Ju, Sang-Gyu;Kim, Jin-Sung;Ahn, Sung-Hwan;Kim, Tae-Gyu;Jeong, Bae-Kwon;Park, Hee-Chul;Ahn, Young-Chan;Choi, Doo-Ho
    • Radiation Oncology Journal
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    • 제29권3호
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    • pp.206-213
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    • 2011
  • Purpose: Intensity modulated radiation therapy (IMRT) is a high precision therapy technique that can achieve a conformal dose distribution on a given target. However, organ motion induced by respiration can result in significant dosimetric error. Therefore, this study explores the dosimetric error that result from various patterns of respiration. Materials and Methods: Experiments were designed to deliver a treatment plan made for a real patient to an in-house developed motion phantom. The motion pattern; the amplitude and period as well as inhale-exhale period, could be controlled by in-house developed software. Dose distribution was measured using EDR2 film and analysis was performed by RIT113 software. Three respiratory patterns were generated for the purpose of this study; first the 'even inhale-exhale pattern', second the slightly long exhale pattern (0.35 seconds longer than inhale period) named 'general signal pattern', and third a 'long exhale pattern' (0.7 seconds longer than inhale period). One dimensional dose profile comparisons and gamma index analysis on 2 dimensions were performed. Results: In one-dimensional dose profile comparisons, 5% in the target and 30% dose difference at the boundary were observed in the long exhale pattern. The center of high dose region in the profile was shifted 1 mm to inhale (caudal) direction for the 'even inhale-exhale pattern', 2 mm and 5 mm shifts to exhale (cranial) direction were observed for 'slightly long exhale pattern' and 'long exhale pattern', respectively. The areas of gamma index >1 were 11.88 %, 15.11%, and 24.33% for 'even inhale-exhale pattern', 'general pattern', and 'long exhale pattern', respectively. The long exhale pattern showed largest errors. Conclusion: To reduce the dosimetric error due to respiratory motions, controlling patient's breathing to be closer to even inhaleexhale period is helpful with minimizing the motion amplitude.

단일산란근사법(單一散亂近似法)에 의한 공기중(空氣中) 산란방사선량(散亂放射線量)의 계산(計算) (Calculation of the Air-Scattering Dose Rate by the Single Scattering Approximation)

  • 육종철;하정우;이재기;문석형
    • Journal of Radiation Protection and Research
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    • 제4권1호
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    • pp.21-28
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    • 1979
  • 공기중 산란감마선의 조직등가선량을 수정 단일산란근사법에 의하여 계산하였다. 공기중 산란 조직등가선량은 축적인자 및 지수감쇄 등 관심위치에서의 에너지 스펙트럼 및 3차원의 기하학적 산란체적을 고려하여 계산하였다. 이 계산방법은 차폐벽으로 둘러쌓인 농학적이용 목적의 대표적 감마조사시설과 시설의 방사선원의 방출감마선이 일정 범위내에만 조사되도록 하는 장치가 부착된 조사시설에 적용할 수 있도록 수정하였다. 선원과 피조사체 사이의 거리가 35m에서 300m 내에 있는 여러 위치에서의 에너지 스펙트럼, 각분포 그리고 조직등가선량율에 대한 계산결과를 얻었다. 3차원 계산방법에 의하여 구한 본 계산결과와 2차원 계산방법에 의하여 얻은 결과를 실제 측정값과 비교한 결과에 의하여 본 결과가 전반적으로실제 측정값과 좋은 일치를 보여 주었다. 만일에 차폐체에서의 에너지와 각 분포가 중요하지 않다고 하면 3차원 계산방법을 도입한 단일산란근사법은 일반적으로 감마조사 시설에서 공기중 산란방사선 문제들을 취급하는 데에 적합함을 알았다.

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