• 제목/요약/키워드: the binomial distribution

검색결과 213건 처리시간 0.024초

A Study on Optimal sampling acceptance plans with respect to a linear loss function and a beta-binomial distribution

  • Kim, Woo-chul;Kim, Sung-ho
    • 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.

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Reliability over time of wind turbines steel towers subjected to fatigue

  • Berny-Brandt, Emilio A.;Ruiz, Sonia E.
    • Wind and Structures
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    • 제23권1호
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    • pp.75-90
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    • 2016
  • A probabilistic approach that combines structural demand hazard analysis with cumulative damage assessment is presented and applied to a steel tower of a wind turbine. The study presents the step by step procedure to compare the reliability over time of the structure subjected to fatigue, assuming: a) a binomial Weibull annual wind speed, and b) a traditional Weibull probability distribution function (PDF). The probabilistic analysis involves the calculation of force time simulated histories, fatigue analysis at the steel tower base, wind hazard curves and structural fragility curves. Differences in the structural reliability over time depending on the wind speed PDF assumed are found, and recommendations about selecting a real PDF are given.

A law of large numbers for maxima in $M/M/infty$ queues and INAR(1) processes

  • Park, Yoo-Sung;Kim, Kee-Young;Jhun, Myoung-Shic
    • Journal of the Korean Statistical Society
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    • 제23권2호
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    • pp.483-498
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    • 1994
  • Suppose that a stationary process ${X_t}$ has a marginal distribution whose support consists of sufficiently large integers. We are concerned with some analogous law of large numbers for such distribution function F. In particular, we determine a weak law of large numbers for maximum queueing length in $M/M\infty$ system. We also present a limiting behavior for the maxima based on AR(1) process with binomial thining and poisson marginals (INAR(1)) introduced by E. Mckenzie. It turns out that the result of AR(1) process is the same as that of $M/M/\infty$ queueing process in limit when we observe the queues at regularly spaced intervals of time.

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전투준비태세 및 유사장비 운용자료를 활용한 RAM 목표 값 설정방법에 관한 연구 (Establishing Method of RAM Objective Considering Combat Readiness and Field Data of Similarity Equipment)

  • 김경용;배석주
    • 산업경영시스템학회지
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    • 제32권3호
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    • pp.127-134
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    • 2009
  • RAM(Reliability, Availability, Maintainability) is important performance factor to keep combat readiness and optimize operational and maintenance cost of weapon systems. This paper discusses the method to establish RAM for combat readiness by using field failure data from similarity equipments. Operational availability is estimated from a binomial distribution function of user's operational conditions such as combat readiness preservation probability, operational rate, operational availability and total number of equipment. Reliability and maintainability is estimated from field failure data from similarity equipment to accomplish operational availability. The effectiveness of established RAM is verified through analysis of combat readiness preservation probability and mission reliability. A case study of weapon system illustrates the process of the proposed method.

AN EXTENSION OF RANDOM SUMMATIONS OF INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES

  • Giang, Le Truong;Hung, Tran Loc
    • 대한수학회논문집
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    • 제33권2호
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    • pp.605-618
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    • 2018
  • The main goal of this paper is to study an extension of random summations of independent and identically distributed random variables when the number of summands in random summation is a partial sum of n independent, identically distributed, non-negative integer-valued random variables. Some characterizations of random summations are considered. The central limit theorems and weak law of large numbers for extended random summations are established. Some weak limit theorems related to geometric random sums, binomial random sums and negative-binomial random sums are also investigated as asymptotic behaviors of extended random summations.

교통분포, 수단선택 및 교통할당의 결합모형 (A Combined Model of Trip Distribution, Mode Choice and Traffic Assignment)

  • 박태형
    • 산업공학
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    • 제15권4호
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    • pp.474-482
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    • 2002
  • In this paper, we propose a parametric optimization approach to simultaneously determining trip distribution, mode choice, and user-equilibrium assignment. In our model, mode choice decisions are based on a binomial logit model and passenger and cargo demands are divided into appropriate mode according to the user equilibrium minimum travel time. Underlying network consists of road and rail networks combined and mode choice available is auto, bus, truck, passenger rail, and cargo rail. We provide an equivalent convex optimization problem formulation and efficient algorithm for solving this problem. The proposed algorithm was applied to a large scale network examples derived from the National Intermodal Transportation Plan (2000-2019).

이항분포 특성의 집단지성을 이용한 P2P 환경에서의 Fake 콘텐츠 제거기법 (A Fake Content Remove Scheme using Binomial Distribution Characteristics of Collective Intelligence in P2P)

  • 차병래;김종원
    • 한국항행학회논문지
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    • 제14권2호
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    • pp.183-190
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    • 2010
  • P2P 커뮤니티는 자발적으로 생성 및 소멸될 수 있는데 이는 Peer의 자유로운 참여로 조성되는 네트워크라는 구조적인 특징에 기반 한다. P2P에는 사용자들이 원하는 자원들을 공유할 수도 있지만, Fake 콘텐츠들과 같은 공유를 원하지 않는 자원들도 많다. 이러한 Fake 콘텐츠들을 제거하기 위한 하나의 방법으로 P2P 환경에서의 집단 지성(Collective Intelligence)을 이용하는 방법을 제안하며, 평판 시스템의 장점에 대해 시뮬레이션을 수행한다.

시뮬레이션을 통한 베이즈요인에 의한 모형선택의 비교연구 : 포아송, 음이항모형의 선택과 정규, 이중지수, 코쉬모형의 선택 (Comparative Study of Model Selection Using Bayes Factor through Simulation : Poisson vs. Negative Binomial Model Selection and Normal, Double Exponential vs. Cauchy Model Selection)

  • 오미라;윤소영;심정욱;손영숙
    • 응용통계연구
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    • 제16권2호
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    • pp.335-349
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    • 2003
  • 본 논문에서는 포아송분포 대 음이항분포, 그리고 정규분포, 이중지 수분포 대 코쉬분포에 대한 모형선택을 위하여 베이지안 방법을 사용한다. 각 모수에 대한 사전분포로는 무정보 부적절 사전분포의 가정 하에, 베이지안 모형선택을 위하여 O'Hagan (1995)의 부분적 베 이즈요인을 이용하였다. 실제자료와 모의 실험 자료의 분석을 통하여 부분적 베이즈요인의 유용성을 Berger와 Pericchi (1996, 1998)의 내재적 베이즈요인들과 함께 비교 검토해 본다.

외래이용빈도 분석의 모형과 기법 (A Ppoisson Regression Aanlysis of Physician Visits)

  • 이영조;한달선;배상수
    • 보건행정학회지
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    • 제3권2호
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    • pp.159-176
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    • 1993
  • The utilization of outpatient care services involves two steps of sequential decisions. The first step decision is about whether to initiate the utilization and the second one is about how many more visits to make after the initiation. Presumably, the initiation decision is largely made by the patient and his or her family, while the number of additional visits is decided under a strong influence of the physician. Implication is that the analysis of the outpatient care utilization requires to specify each of the two decisions underlying the utilization as a distinct stochastic process. This paper is concerned with the number of physician visits, which is, by definition, a discrete variable that can take only non-negative integer values. Since the initial visit is considered in the analysis of whether or not having made any physician visit, the focus on the number of visits made in addition to the initial one must be enough. The number of additional visits, being a kind of count data, could be assumed to exhibit a Poisson distribution. However, it is likely that the distribution is over dispersed since the number of physician visits tends to cluster around a few values but still vary widely. A recently reported study of outpatient care utilization employed an analysis based upon the assumption of a negative binomial distribution which is a type of overdispersed Poisson distribution. But there is an indication that the use of Poisson distribution making adjustments for over-dispersion results in less loss of efficiency in parameter estimation compared to the use of a certain type of distribution like a negative binomial distribution. An analysis of the data for outpatient care utilization was performed focusing on an assessment of appropriateness of available techniques. The data used in the analysis were collected by a community survey in Hwachon Gun, Kangwon Do in 1990. It was observed that a Poisson regression with adjustments for over-dispersion is superior to either an ordinary regression or a Poisson regression without adjustments oor over-dispersion. In conclusion, it seems the most approprite to assume that the number of physician visits made in addition to the initial visist exhibits an overdispersed Poisson distribution when outpatient care utilization is studied based upon a model which embodies the two-part character of the decision process uderlying the utilization.

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