• Title/Summary/Keyword: Binomial

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Bayesian Multiple Comparison of Binomial Populations based on Fractional Bayes Factor

  • Kim, Dal-Ho;Kang, Sang-Gil;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.233-244
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    • 2006
  • In this paper, we develop the Bayesian multiple comparisons procedure for the binomial distribution. We suggest the Bayesian procedure based on fractional Bayes factor when noninformative priors are applied for the parameters. An example is illustrated for the proposed method. For this example, the suggested method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison. Also, some simulation was performed.

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Review of Acceptance Sampling Plans for Parts Per Million Fraction of Defectives (PPM 부적합품률의 샘풀링 검사 계획의 고찰)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.9 no.4
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    • pp.137-142
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    • 2007
  • This paper is to introduce attribute acceptance sampling plan based on statistical inference of binomial proportions such as PPM or PPB. In addition, this paper presents three variable sampling acceptance sampling plans based on $C_{pm},\;C_{pmk}$, and Taguchi's loss function. Producers are able to consider as not only external vendors but also internal customers.

Confidence Intervals for the Difference of Binomial Proportions in Two Doubly Sampled Data

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • v.17 no.3
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    • pp.309-318
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    • 2010
  • The construction of asymptotic confidence intervals is considered for the difference of binomial proportions in two doubly sampled data subject to false-positive error. The coverage behaviors of several likelihood based confidence intervals and a Bayesian confidence interval are examined. It is shown that a hierarchical Bayesian approach gives a confidence interval with good frequentist properties. Confidence interval based on the Rao score is also shown to have good performance in terms of coverage probability. However, the Wald confidence interval covers true value less often than nominal level.

IMPROVED UPPER BOUNDS OF PROBABILITY

  • Lee, Min-Young;Jo, Moon-Shik
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.725-736
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    • 2003
  • Let $A_1,{\;}A_2,...,A_n$ be a sequence of events on a given probability space. Let $m_n$ be the number of those $A'_{j}s$ which occur. Upper bounds of P($m_n{\;}\geq{\;}1) are obtained by means of probability of consecutive terms which reduce the number of terms in binomial moments $S_2,n,S_3,n$ and $S_4,n$.

A Study on Reliability Evaluation of Application Software using Binomial-Type Model (이항형 모형을 이용한 응용 소프트웨어 의 신뢰성 평가에 관한 연구)

  • 조성건;이상철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.15 no.25
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    • pp.53-62
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    • 1992
  • Computer software users develop and utilize their application software by themselves since Processing methods are different by quantity and qualify of the information The developed model needs input data and error numbers generated during the testing phases. However. total error numbers of the existing model and each error time was needed as data for developing the new model. But, maximum likelihood estimation must be used to exponential model of binomial-type and estimating of parameters by using the searched data. Parameter estimation can be done with trial and error or simulation.

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Multivariate Modified Discrete Distributions

  • Lingappaiah, G.S.
    • Journal of the Korean Statistical Society
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    • v.15 no.1
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    • pp.71-78
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    • 1986
  • In this paper, multivariate discrete distribution is dealt with, where a set of r distinct counts are misreported as another set of r counts. First, the variance for the one variable marginal case is expressed in the form of an inverted parabola. Next, for the multivariate negative binomial case, elements of the covariance matrix are evaluated with reference to asymptotic distributions. Finally, for the same case of multivariate negative binomial, Bayesian estimates of the parameters and of the modification rates are provided.

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Risk Factors Influencing Probability and Severity of Elder Abuse in Community-dwelling Older Adults: Applying Zero-inflated Negative Binomial Modeling of Abuse Count Data (영과잉 가산자료(Zero-inflated Count Data) 분석 방법을 이용한 지역사회 거주 노인의 노인학대 발생과 심각성에 미치는 위험요인 분석)

  • Jang, Mi Heui;Park, Chang Gi
    • Journal of Korean Academy of Nursing
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    • v.42 no.6
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    • pp.819-832
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    • 2012
  • Purpose: This study was conducted to identify risk factors that influence the probability and severity of elder abuse in community-dwelling older adults. Methods: This study was a cross-sectional descriptive study. Self-report questionnaires were used to collect data from community-dwelling Koreans, 65 and older (N=416). Logistic regression, negative binomial regression and zero-inflated negative binomial regression model for abuse count data were utilized to determine risk factors for elder abuse. Results: The rate of older adults who experienced any one category of abuse was 32.5%. By zero-inflated negative binomial regression analysis, the experience of verbal-psychological abuse was associated with marital status and family support, while the experience of physical abuse was associated with self-esteem, perceived economic stress and family support. Family support was found to be a salient risk factor of probability of abuse in both verbal-psychological and physical abuse. Self-esteem was found to be a salient risk factor of probability and severity of abuse in physical abuse alone. Conclusion: The findings suggest that tailored prevention and intervention considering both types of elder abuse and target populations might be beneficial for preventative efficiency of elder abuse.

A Comparative Study on Estimation Models for the Value of Access to a Natural Recreation Site: Focusing on the Estuary Area of Yeongsan River (자연휴양지 방문편익 추정모형의 비교 연구 - 영산강 하구를 대상으로)

  • Shin, Youngchul
    • Environmental and Resource Economics Review
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    • v.21 no.4
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    • pp.981-998
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    • 2012
  • In this paper, several count data model of travel cost recreation demand with Poisson and negative binominal specification are applied to estimate the value of access to the estuary area of Yeongsan river from visitor survey data. The results show that the negative binomial model that accounts for truncation and overdispersion provides the better goodness-of-fit, and therefore the value per visit(i.e. consumer surplus) is 89,350 won for resident of Jeolla province and 432,526 won for that of other provinces. If don't correct overdispersion by relying on Poisson estimates, the consumer surplus will be underestimated. Whereas the consumer surplus will be overestimated unless correct truncation by using estimates of untruncated models. As a result, the truncated negative binomial model should be applied to estimate the travel demand and the consumer surplus per visit by using survey data from single site visitors.

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A Fast Transmission of Mobile Agents Using Binomial Trees (바이노미얼 트리를 이용한 이동 에이전트의 빠른 전송)

  • Cho, Soo-Hyun;Kim, Young-Hak
    • The KIPS Transactions:PartA
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    • v.9A no.3
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    • pp.341-350
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    • 2002
  • As network environments have been improved and the use of internet has been increased, mobile agent technologies are widely used in the fields of information retrieval, network management, electronic commerce, and parallel/distributed processing. Recently, a lot of researchers have studied the concepts of parallel/distributed processing based on mobile agents. SPMD is the parallel processing method which transmits a program to all the computers participated in parallel environment, and performs a work with different data. Therefore, to transmit fast a program to all the computers is one of important factors to reduce total execution time. In this paper, we consider the parallel environment consisting of mobile agents system, and propose a new method which transmits fast a mobile agent code to all the computers using binomial trees in order to efficiently perform the SPMD parallel processing. The proposed method is compared with another ones through experimental evaluation on the IBM's Aglets, and gets greatly better performance. Also this paper deals with fault tolerances which can be occurred in transmitting a mobile agent using binomial trees.

Fast block matching algorithm for constrained one-bit transform-based motion estimation using binomial distribution (이항 분포를 이용한 제한된 1비트 변환 움직임 예측의 고속 블록 정합 알고리즘)

  • Park, Han-Jin;Choi, Chang-Ryoul;Jeong, Je-Chang
    • Journal of Broadcast Engineering
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    • v.16 no.5
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    • pp.861-872
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    • 2011
  • Many fast block-matching algorithms (BMAs) in motion estimation field reduce computational complexity by screening the number of checking points. Although many fast BMAs reduce computations, sometimes they should endure matching errors in comparison with full-search algorithm (FSA). In this paper, a novel fast BMA for constrained one-bit transform (C1BT)-based motion estimation is proposed in order to decrease the calculations of the block distortion measure. Unlike the classical fast BMAs, the proposed algorithm shows a new approach to reduce computations. It utilizes the binomial distribution based on the characteristic of binary plane which is composed of only two elements: 0 and 1. Experimental results show that the proposed algorithm keeps its peak signal-to-noise ratio (PSNR) performance very close to the FSA-C1BT while the computation complexity is reduced considerably.