• 제목/요약/키워드: if-conditional probability

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조건부확률에 관한 연구 (A Study on Conditional Probability)

  • 조차미
    • 대한수학교육학회지:수학교육학연구
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    • 제20권1호
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    • pp.1-20
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    • 2010
  • 조건부확률(conditional probability)은 단순해 보이는 규칙을 가지고 있으나 여러 가지 오개념(misconception)을 양산하는 개념이다. 선행연구들은 대부분 이러한 오개념에 관한 연구들인 반면에, 본 논문은 이러한 조건부확률의 오개념에 주목하기에 앞서 다양한 상황에서의 적용이 가능한 조건부확률의 일관적인 수학적 본질은 과연 무엇이며 이에 대해 교사들은 얼마만큼 이해하고 있는지 알아보았다. 이를 위해 조건부확률의 정의를 적용하는 방법에 차이가 있는 조건부확률을 크게 두 가지 유형-상대적 비를 통해 구하는 '상대적 조건부확률(relative-conditional probability)'과 조건 사건에 의한 상황변화를 추론하여 구하는 '조건문 조건부확률(if-conditional probability)'-으로 구분하였다. 단, 이것은 조건부확률의 해결 방법의 차이에 대한 표면적 구분일 뿐이다. 본 논문의 목적은 이들 속에 내포된 동일한 수학적 본질을 찾는 것이며, 이를 통해 하나의 통합된 개념인 조건부확률에 대해 교사들은 얼마만큼 이해하고 있는지 알아보았다.

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심리와 생물 영역에서의 유아의 인과추론 : 영역특정성과 영역일반성의 상호작용 (Young Chilldren's Causal Reasoning on Psychology and Biology : Focusing on the Interaction between Domain-specificty and Domain-generality)

  • 김지현
    • 가정과삶의질연구
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    • 제26권5호
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    • pp.333-354
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    • 2008
  • This study aimed to investigate the role of domain-specific causal mechanism information and domain-general conditional probability in young children's causal reasoning on psychology and biology. Participants were 121 3-year-olds and 121 4-year-olds recruited from seven childcare centers in Seoul, Kyonggi Province, and Busan. After participants watched moving pictures on psychological and biological phenomena, they were asked to choose appropriate cause and justify their choices. Results of this study were as follows: First, young children made different inferences according to domain-specific causal mechanisms. Second, the developmental level of causal mechanisms has a gap between psychology and biology, and biological knowledge was proved to be separate from psychological knowledge during the preschool period. Third, young children's causal reasoning was different depending on the interaction effect of domain-specific mechanisms and domain-general conditional probability: children could make more inferences based on domain-specific causal mechanisms if conditional probability between domain-appropriate cause and effect was evident. To conclude, it can be inferred that the role of domain-specific causal mechanisms and domain-general conditional probability is not competitive but complementary in young children's causal reasoning.

CHARACTERIZATIONS OF BETA DISTRIBUTION OF THE FIRST KIND BY CONDITIONAL EXPECTATIONS OF RECORD VALUES

  • Lee, Min-Young;Chang, Se-Kyung
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.441-446
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    • 2003
  • Let { $X_{n}$ , n $\geq$ 1} be a sequence of independent and identically distributed random variables with a common continuous distribution function F(x) and probability density function f(x). Let $Y_{n}$ = max{ $X_1$, $X_2$, …, $X_{n}$ } for n $\geq$ 1. We say $X_{j}$ is an upper record value of { $X_{n}$ , n$\geq$1} if $Y_{j}$ > $Y_{j-1}$, j > 1. The indices at which the upper record values occur are given by the record times {u(n)}, n$\geq$1, where u(n) = min{j|j>u(n-1), $X_{j}$ > $X_{u}$ (n-1), n$\geq$2} and u(1) = 1. We call the random variable X $\in$ Beta (1, c) if the corresponding probability cumulative function F(x) of x is of the form F(x) = 1-(1-x)$^{c}$ , c>0, 0$\leq$x$\leq$1. In this paper, we will give a characterization of the beta distribution of the first kind by considering conditional expectations of record values.s.

Conditional Event Matching Prediction of Nonlinear Phenomena of Insulator Pollution in Coastal Substations Based on Actual Database

  • Nakamura, Masatoshi;Goto, Satoru;Katafuchi, Tatsuro;Taniguchi, Takashi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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    • pp.157-160
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    • 1999
  • A prediction method of conditional event matching pre-diction (EMP) for a purpose of predicting nonlinear phenomena of insulator pollution was proposed in this paper. The EMP was used if the conditional probability for increase of insulator pollution exceeded a threshold value. A performance of the EMP was strongly related to selection of database of events and a closeness function. By use of the prediction of the insulator pollution based on the conditional EMP, reliable decision making for the washing timing of the polluted insulators was e-valuated based on actual data in Kasatsu substation, Japan.

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On the Hàjek-Rènyi-Type Inequality for Conditionally Associated Random Variables

  • Choi, Jeong-Yeol;Seo, Hye-Young;Baek, Jong-Il
    • Communications for Statistical Applications and Methods
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    • 제18권6호
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    • pp.799-808
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    • 2011
  • Let {${\Omega}$, $\mathcal{F}$, P} be a probability space and {$X_n{\mid}n{\geq}1$} be a sequence of random variables defined on it. A finite sequence of random variables {$X_i{\mid}1{\leq}i{\leq}n$} is a conditional associated given $\mathcal{F}$ if for any coordinate-wise nondecreasing functions f and g defined on $R^n$, $Cov^{\mathcal{F}}$ (f($X_1$, ${\ldots}$, $X_n$), g($X_1$, ${\ldots}$, $X_n$)) ${\geq}$ 0 a.s. whenever the conditional covariance exists. We obtain the H$\grave{a}$jek-R$\grave{e}$nyi-type inequality for conditional associated random variables. In addition, we establish the strong law of large numbers, the three series theorem, integrability of supremum, and a strong growth rate for $\mathcal{F}$-associated random variables.

장애인을 위한 상황인식 및 서비스 추론기술 개발 (Development of Context Awareness and Service Reasoning Technique for Handicapped People)

  • 고광은;신동준;심귀보
    • 한국지능시스템학회논문지
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    • 제18권4호
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    • pp.512-517
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    • 2008
  • 사회고령화, 장애인구 증가는 장애인을 위해 특화된 서비스를 제공하기 위한 유비쿼터스 컴퓨팅 관련기술의 개발이 필요함을 나타낸다. 이를 위해 기존의 일방적인 관계가 아닌 사용자와 유비쿼터스 환경간의 상호작용이 지원되는 상황인식 및 서비스 추론 기술의 개발이 필요하다. 기존의 상황인식과 관련 연구는 불확실한 실세계를 도메인으로 하기 때문에 전문가 시스템을 바탕으로 베이지안 네트워크(이하, BN)와 같은 확률 기반 표현 모델을 통해 주어진 상황을 인식하였다. 본 논문에서는 다변화하는 환경과 사용자나 개발자의 개입을 최소화한 상태에서의 상황인식을 고려하여 장애활동보조 서비스 어플리케이션 도메인을 정의하고 온톨로지를 기반으로 상황정보 모델을 정의한다. 결정된 상황정보모델을 이용해 BN의 구조학습을 적용한 후 응용서비스 개발의 차원에서 장애인을 위한 서비스, Activity를 결정한다. 최종적으로 BN의 Conditional Probability Table를 적절하게 정의한 후 주어지는 임의의 상황에서의 사용자의 Activity와 Service 상태변수 값을 확률 값을 표현함으로써 상황인식의 결과를 도출한다.

관수로 농업용수 공급에 대한 시설재배 농가의 비용 지불의사 연구 (A Study on Greenhouse Farmers' Willingness to Pay of Agricultural Water Supply through Pipeline)

  • 임청룡;박성경;정원호
    • 농촌계획
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    • 제24권2호
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    • pp.109-114
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    • 2018
  • In this study, we estimate the greenhouse farmers' willingness to pay of agricultural water supply through pipeline. First, in the questionnaire design, orthogonal design and block design were used to enhance the ease of survey. Second, the theoretical model was constructed through the setting of the probability utility function, and the parameters were estimated by using the conditional logit model. Third, all of the estimation coefficients were statistically significant at the 1% significance level. The results of analysis are summarized as follows. First, the probability of selection is increased when maintenance is carried out by Korea Rural Community Corporation or local government. Second, the probability of selection is increased when agricultural water supply through pipeline is higher than the current level. Third, if the Korea Rural Community Corporation carries out maintenance management, the marginal willingness to pay is 44 won per ton. And if the local government carries out maintenance management, the marginal willingness to pay is 25 won per ton. Fourth, according to the quality level of agricultural water supply, the marginal willingness to pay is 101 won, 114 won and 120 won per ton, respectively. This study can be used as a basic data on the cost setting for agricultural water supply through pipeline.

부분어절 조건부확률 기반 동형이의어 태깅 모델 (Korean Homograph Tagging Model based on Sub-Word Conditional Probability)

  • 신준철;옥철영
    • 정보처리학회논문지:소프트웨어 및 데이터공학
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    • 제3권10호
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    • pp.407-420
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    • 2014
  • 한국어 형태소 분석 및 태깅은 크게 2가지 단계로 나뉜다. 첫 번째 단계는 어절을 분석하여 후보들을 생성하는 것으로, 여러 의미를 가진 어절은 이 단계에서 다양한 후보들이 생성된다. 두 번째는 문맥 정보를 이용하여 후보 중에 가장 적절한 하나를 선택하는 단계로, 흔히 태깅이라 한다. 일반적으로 두 번째 단계에서는 은닉 마르코프 모델(Hidden Markov Model, 이하 HMM)을 자주 사용하지만, 본 논문에서는 처리속도를 향상시킨 부분어절 조건부확률 모델을 제안한다. 이 모델은 우선적으로 인접 어절 정보를 이용하여 현재 처리 중인 어절의 의미를 결정하고, 예외적으로 용언이 인접한 경우에만 후보 정보의 극히 일부분을 이용한다. 실험 결과 정확률은 HMM의 96.49%보다 0.07% 낮았지만, 처리 소요 시간을 약 53% 감소시켰다.

Development of an Item Selection Method for Test-Construction by using a Relationship Structure among Abilities

  • Kim, Sung-Ho;Jeong, Mi-Sook;Kim, Jung-Ran
    • Communications for Statistical Applications and Methods
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    • 제8권1호
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    • pp.193-207
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    • 2001
  • When designing a test set, we need to consider constraints on items that are deemed important by item developers or test specialists. The constraints are essentially on the components of the test domain or abilities relevant to a given test set. And so if the test domain could be represented in a more refined form, test construction would be made in a more efficient way. We assume that relationships among task abilities are representable by a causal model and that the item response theory (IRT) is not fully available for them. In such a case we can not apply traditional item selection methods that are based on the IRT. In this paper, we use entropy as an uncertainty measure for making inferences on task abilities and developed an optimal item selection algorithm which reduces most the entropy of task abilities when items are selected from an item pool.

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ON H$\grave{a}$JEK-R$\grave{e}$NYI-TYPE INEQUALITY FOR CONDITIONALLY NEGATIVELY ASSOCIATED RANDOM VARIABLES AND ITS APPLICATIONS

  • Seo, Hye-Young;Baek, Jong-Il
    • Journal of applied mathematics & informatics
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    • 제30권3_4호
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    • pp.623-633
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    • 2012
  • Let {${\Omega}$, $\mathcal{F}$, P} be a probability space and {$X_n|n{\geq}1$} be a sequence of random variables defined on it. A finite sequence of random variables {$X_n|n{\geq}1$} is said to be conditionally negatively associated given $\mathcal{F}$ if for every pair of disjoint subsets A and B of {1, 2, ${\cdots}$, n}, $Cov^{\mathcal{F}}(f_1(X_i,i{\in}A),\;f_2(X_j,j{\in}B)){\leq}0$ a.s. whenever $f_1$ and $f_2$ are coordinatewise nondecreasing functions. We extend the H$\grave{a}$jek-R$\grave{e}$nyi-type inequality from negative association to conditional negative association of random variables. In addition, some corollaries are given.