• 생물환경조절학회지
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• 제23권1호
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• pp.39-42
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• 2014

본 연구의 목적은 선형, 쌍곡선, 베타 함수를 이용하여 상추의 주요 온도를 예측하기 위함이다. 상추 종자를 항온 생육상에서 발아시켰다. 온도처리는 $10^{\circ}C$, $14^{\circ}C$, $16^{\circ}C$, $20^{\circ}C$, $24^{\circ}C$, $28^{\circ}C$와 $32^{\circ}C$였다. 100개의 종자를 9cm 페트리디쉬에 필터페이퍼 2장을 깔고 4반복 실시하였다. 유근이 1mm 나왔을 때를 발아로 하였다. 시간에 따른 발아율은 로지스틱 함수로 계산하였다. 최저, 최적, 최고 온도는 50% 발아한 시점의 역수를 온도에 따른 함수로 표기하여 나타내었다. 선형 함수의 경우, 최저, 최적, 최고 온도는 각각 $7.9^{\circ}C$, $23.3^{\circ}C$, $28.0^{\circ}C$였으며, 쌍곡선 함수의 경우, 최저, 최적, 최고 온도는 각각 $9.7^{\circ}C$, $19.5^{\circ}C$, $29.4^{\circ}C$였으며, 베타 함수인 경우, 최저, 최적, 최고 온도는 각각 $3.7^{\circ}C$, $20.7^{\circ}C$, $32.0^{\circ}C$였다. 최저, 최적, 최고 온도 범위는 각각 $3.7{\sim}7.9^{\circ}C$, $19.5{\sim}23.3^{\circ}C$, $28.0{\sim}32.0^{\circ}C$이었다.

• 대한수학회보
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• 제54권4호
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• pp.1141-1158
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• 2017

In this paper, we study the value distribution of the derivative of a Dirichlet L-function $L^{\prime}(s,{\chi})$ at the a-points ${\rho}_{a,{\chi}}={\beta}_{a,{\chi}}+i{\gamma}_{a,{\chi}}$ of $L^{\prime}(s,{\chi})$. We give an asymptotic formula for the sum $${\sum_{{\rho}_{a,{\chi}};0<{\gamma}_{a,{\chi}}{\leq}T}\;L^{\prime}({\rho}_{a,{\chi}},{\chi})X^{{\rho}_{a,{\chi}}}\;as\;T{\rightarrow}{\infty}$$, where X is a fixed positive number and ${\chi}$ is a primitive character mod q. This work continues the investigations of Fujii [4-6], $Garunk{\check{s}}tis$ & Steuding [8] and the authors [12].

• Communications for Statistical Applications and Methods
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• 제2권1호
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• pp.55-63
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• 1995

The characteristics of $I{\lambda}$-optimality are investigated with repsect to other experimental design's criteria, D-and G-optimality. The comparisons are based on D- and G-, and $I{\lambda}$-efficiencies using the Beta(p, q) distribution as a weighting function for $I{\lambda}$-optimality. Results indicate that serious consideration should be given to the $I{\lambda}$-optimality criterion especially when the error variance function is not homogeneous.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제12권2호
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• pp.81-95
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• 2008

In this paper, the negative Polya-Eggenberger distribution has been introduced by compounding negative binomial distribution with beta distribution of I-kind which generates a number of univariate contagious or compound (or mixture of) distributions as its particular cases. The distribution is unimode, over dispersed and all of its positive and negative integer moments exist. The difference equation of the proposed model shows that it is a member of the Ord's family of distribution. Some of its interesting properties have been explored besides different methods of estimation been discussed. Finally, the parameters of the proposed model have been estimated by using a computer programme in R-software. Application of the proposed model to some data, available in the literature, has been given and its goodness of fit demonstrated.

• 응용통계연구
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• 제29권3호
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• pp.425-435
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• 2016

본 논문에서는 1973년부터 2014년까지 42년 간, 12개 지역의 일일 강수량 데이터의 역통계(inverse statistics) 분석을 실시하였다. 구체적으로 일일 강수량 x의 확률밀도함수 f(x)를 도출하였고, 특정 강수량 ${\rho}$를 처음으로 넘어서는 기간 ${\tau}_{\rho}$의 분포 $f({\tau}_{\rho})$를 도출하였다. 최종적으로 ${\tau}_{\rho}$의 대푯값인 ${\tau}_{mean}({\rho})$와 ${\rho}$의 관계를 도출하였다. 분석 결과 x와 ${\tau}_{\rho}$는 확장된 지수분포(stretched exponential distribution)를 이루는 것을 확인하였다. 더불어 ${\rho}$와 ${\tau}_{mean}({\rho})$도 확장된 지수함수의 관계를 이루는 것을 알 수 있었다. 이들 분포를 바탕으로 형태 모수(shape parameter) ${\beta}$ 값을 도출하고, 12개 지역의 강수 특성을 분석하였다.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2000년도 추계학술대회 논문집
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• pp.63-67
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• 2000

Up to this day, Most studies of hydroelasticity are inclined to frequency domain atnlysis. Thos amlysis Q the landing, take-4, and dropping of airaqft on a structure. So, the concern of this prrper is a tra a VLFS subjected to dymmic lazd induced by airplane larndirrg and take-off. To predict added mass, dampr exciting force, the source-dipole distribution method were used The responses are accomplished by Fdoimain analysis method is based on Newmark $\beta$ method to pursuit time step pnzcedure taking advantage function for hvdrodvnumic effects.

• 품질경영학회지
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• 제10권2호
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• pp.25-33
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• 1982

We discuss a model for acceptance/rejection decision regarding finite populations. The model is based on a beta-binomial prior distribution and additive costs -- relative sampling costs, relative sorting costs and costs of accepted defectives. A substantial part of the paper is devoted to constructing a Bayes sequential sampling acceptance plan (BSSAP) for attributes under the model. It is shown that the Bayes fixed size sampling acceptance plans (BFSAP) are better than the Hald's (1960) single sampling acceptance plans based on a uniform prior. Some tables and examples are provided for comprisons of the minimum Bayes risks of the BSSAP and those of the BFSAP based on a uniform prior and the model.

• Communications for Statistical Applications and Methods
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• 제5권2호
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• pp.539-557
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• 1998

This article is concerned with the problem of estimating the mean of a one-parameter exponential family through sequential sampling in three stages under quadratic error loss. This more general framework differs from those considered by Hall (1981) and others. The differences are : (i) the estimator and the final stage sample size are dependent; and (ii) second order approximation of a continuously differentiable function of the final stage sample size permits evaluation of the asymptotic regret through higher order moments. In particular, the asymptotic regret can be expressed as a function of both the skewness $\rho$ and the kurtosis $\beta$ of the underlying distribution. The conditions on $\rho$ and $\beta$ for which negative regret is expected are discussed. Further results concerning the stopping variable N are also presented. We also supplement our theoretical findings wish simulation results to provide a feel for the triple sampling procedure presented in this study.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 2006년도 춘계공동학술대회 논문집
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• pp.1677-1683
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• 2006

Color image segmentation is useful for fast retrieval in large image database. For that purpose, new image segmentation technique based on the probability of pixel distribution in the image is proposed. Color image is first divided into R, G, and B channel images. Then, pixel distribution from each of channel image is extracted to select to which it is similar among the well known probabilistic distribution function-Weibull, Exponential, Beta, Gamma, Normal, and Uniform. We use sum of least square error to measure of the quality how well an image is fitted to distribution. That P.d.f has minimum score in relation to sum of square error is chosen. Next, each image is quantized into 4 gray levels by applying thresholds to the c.d.f of the selected distribution of each channel. Finally, three quantized images are combined into one color image to obtain final segmentation result. To show the validity of the proposed method, experiments on some images are performed.

• 한국해양공학회지
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• 제18권2호
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• pp.64-69
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• 2004

The characteristics of the probability distribution for mechanical properties, e.g. tensile strength, reduction of area, and elongation, for STS304 stainless steel in elevated temperature are investigated. Tensile test is performed by constant crosshead speed controls with 1mm/min. The probability distribution function of measured mechanical properties seems to follow $\alpha$ 3-parameter Weibull, and shows a slight dependence on the temperature. When the temperature is raised, the shape parameter a is increased, but both the scale parameter $\beta$ and location parameter v are decreased.