• Title/Summary/Keyword: if-conditional probability

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A Study on Conditional Probability (조건부확률에 관한 연구)

  • Cho, Cha-Mi
    • Journal of Educational Research in Mathematics
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    • v.20 no.1
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    • pp.1-20
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    • 2010
  • Conditional probability may look simple but it raises various misconceptions. Preceding studies are mostly about such misconceptions. However, instead of focusing on those misconceptions, this paper focused on what the mathematical essence of conditional probability which can be applied to various situations and how good teachers' understanding on that is. In view of this purpose, this paper classified conditional probability which have different ways of defining into two-relative conditional probability which can be get by relative ratio and if-conditional probability which can be get by the inference of the situation change of conditional event. Yet, this is just a superficial classification of resolving ways of conditional probability. The purpose of this paper is in finding the mathematical essence implied in those, and by doing that, tried to find out how well teachers understand about conditional probability which is one integrated concept.

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

  • Kim, Ji-Hyun
    • Journal of Families and Better Life
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    • v.26 no.5
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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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    • v.13 no.1_2
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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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    • 1999.10a
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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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    • v.18 no.6
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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.

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

  • Ko, Kwang-Eun;Shin, Dong-Jun;Sim, Kwee-Bo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.4
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    • pp.512-517
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    • 2008
  • It is show that increasing of aged and handicapped people requires development of Ubiquitous computing technique to offer the specialized service for handicapped-people. For this, we need a development of Context Awareness and Service Reasoning Technique that the technique is supplied interaction between user and U-environment instead of the old unilateral relation. The old research of context awareness needed probabilistic presentation model like a Bayesian Network based on expert Systems for recognize given circumstance by a domain of uncertain real world. In this article, we define a domain of disorder activity assistant service application and context model based on ontology in diversified environment and minimized intervention of user and developer. By use this context model, we apply the structure learning of Bayesian Network and decide the service and activity to development of application service for handicapped people. Finally, we define the proper Conditional Probability Table of the structured Bayesian Network and if random situation is given to user, then present state variable of Activity and Service by given Causal relation of Bayesian Network based on Conditional Probability Table and it can be result of context awareness.

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

  • Lim, Cheong-Ryong;Park, Seong-gyeong;Chung, Won-ho
    • Journal of Korean Society of Rural Planning
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    • v.24 no.2
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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.

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

  • Shin, Joon Choul;Ock, Cheol Young
    • KIPS Transactions on Software and Data Engineering
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    • v.3 no.10
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    • pp.407-420
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    • 2014
  • In general, the Korean morpheme analysis procedure is divided into two steps. In the first step as an ambiguity generation step, an Eojeol is analyzed into many morpheme sequences as candidates. In the second step, one appropriate candidate is chosen by using contextual information. Hidden Markov Model(HMM) is typically applied in the second step. This paper proposes Sub-word Conditional Probability(SCP) model as an alternate algorithm. SCP uses sub-word information of adjacent eojeol first. If it failed, then SCP use morpheme information restrictively. In the accuracy and speed comparative test, HMM's accuracy is 96.49% and SCP's accuracy is just 0.07% lower. But SCP reduced processing time 53%.

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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    • v.8 no.1
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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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    • v.30 no.3_4
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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.