• Title/Summary/Keyword: equal probability

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Protein Motif Extraction via Feature Interval Selection

  • Sohn, In-Suk;Hwang, Chang-Ha;Ko, Jun-Su;Chiu, David;Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.4
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    • pp.1279-1287
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    • 2006
  • The purpose of this paper is to present a new algorithm for extracting the consensus pattern, or motif from sequence belonging to the same family. Two methods are considered for feature interval partitioning based on equal probability and equal width interval partitioning. C2H2 zinc finger protein and epidermal growth factor protein sequences are used to demonstrate the effectiveness of the proposed algorithm for motif extraction. For two protein families, the equal width interval partitioning method performs better than the equal probability interval partitioning method.

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3rd, 4th and 5th Graders' Probability Understanding (초등학교 3, 4, 5학년 학생들의 확률 이해 실태)

  • Yoon, Hye-Young;Lee, Kwang-Ho
    • Education of Primary School Mathematics
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    • v.14 no.1
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    • pp.69-79
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    • 2011
  • The purpose of this study is to analyze 3rd, 4th and 5th graders' probability understanding and raise issues concerning instructional methods and search for the possibility of learning probability. For the purpose, a descriptive study through pencil-and-paper test regarding fairness, sample space, probability of event, probability comparison, independence and conditional probability was conducted. The following conclusions were drawn from the results obtained in this study. First, the 3rd, 4th, and 5th grade students scored the highest in the sample space questions. In descending order of skill, the students scored the highest in sample space following probability of events, fairness and probability comparison. Second, however, the level of independence understanding was low. There was no meaningful differences between grades and the conditional probability was the least understood. The independence is difficult to develop naturally according to cognitive development. The conditional probability recognizing the probability of an event changes in non-replacement situations was very difficult for these students. Third, there were significant differences between the 5th graders and the 3rd and 4th graders in the probability comparison questions. It shows that 5th graders understand the concept of proportion when they compare equal ratio probability of an event. The 3rd graers could do different ratio probability of an event more easily than equal ratio probability of an event after they were instructed on probability comparison.

Outage Probability of Two-Hop Relay Networks with Related Interference

  • Pan, Peisheng;Zheng, Baoyu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.8
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    • pp.1786-1804
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    • 2013
  • We consider a specific interference-limited wireless relay system that comprises several cooperation units (CUs) which are defined as a source and destination node pair with an associated relay node. In the wireless relay system, all source nodes simultaneously transmit their own signals and the relay node in each CU then forwards the received signal to the destination node, causing co-channel interference at both the relay node and the destination node in each CU. The co-channel interference at the relay node is closely related to that at the destination node in each CU. We first derive the end-to-end outage probability in a CU over Rayleigh slow-fading channels with interference for the decode-and-forward (DF) relaying strategy. Then, on the assumption that each CU is allocated with equal power we design an optimal power allocation between the source node and the relay node in each CU to minimize the outage probability of the investigated CU. At last, in the case that each CU is not allocated with equal power and the sum of their power is constrained, we present an optimal power allocation between CUs to minimize the sum of the outage probability of all CUs. The analytical results are verified by simulations.

Markov Modeling of Multiclass Loss Systems (멀티클래스 손실시스템의 마코프 모델링)

  • Na, Seong-Ryong
    • The Korean Journal of Applied Statistics
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    • v.23 no.4
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    • pp.747-757
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    • 2010
  • This paper studies the Markov modeling of multiclass loss systems supporting several kinds of customers. The concept of unit for loss systems is introduced and the method of equal probability allocation among units is especially considered. Equilibrium equations and limiting distribution of the loss systems are studied and loss probabilities are computed. We analyze an example of a simple system to gain an insight about general systems.

Dual Diversity over Correlated Ricean Fading Channels

  • Bithas Petros S.;Sagias Nikos C.;Mathiopoulos P. Takis
    • Journal of Communications and Networks
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    • v.9 no.1
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    • pp.67-74
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    • 2007
  • The performance of dual diversity receivers operating over correlated Ricean fading channels is analyzed. Using a previously derived rapidly converging infinite series representation for the bivariate Ricean probability density function, analytical expressions for the statistics of dual-branch selection combining, maximal-ratio combining, and equal-gain combining output signal-to-noise ratio (SNR) are derived. These expressions are employed to obtain novel analytical formulae for the average output SNR, amount of fading, average bit error probability, and outage probability. The proposed mathematical analysis is used to study various novel performance evaluation results with parameters of interest the fading severity, average input SNRs, and the correlation coefficient. The series convergence rate is also examined verifying the fast convergence of the analytical expressions. The accuracy of most of the theoretical performance evaluation results are validated by means of computer simulations.

A New Constant Modulus Algorithm based on Maximum Probability Criterion

  • Kim, Nam-Yong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.2A
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    • pp.85-90
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    • 2009
  • In this paper, as an alternative to constant modulus algorithm based on MSE, maximization of the probability that equalizer output power is equal to the constant modulus of the transmitted symbols is introduced. The proposed algorithm using the gradient ascent method to the maximum probability criterion has superior convergence and steady-state MSE performance, and the error samples of the proposed algorithm exhibit more concentrated density functions in blind equalization environments. Simulation results indicate that the proposed training has a potential advantage versus MSE training for the constant modulus approach to blind equalization.

Contexts and Difficulties on the Introduction of Probability Concept (확률 개념 도입의 맥락과 난점)

  • 서동엽;홍진곤
    • Journal of Educational Research in Mathematics
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    • v.11 no.1
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    • pp.179-191
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    • 2001
  • The Study investigated the contexts and probable difficulties of the teaching of the number of cases and the introduction of probability concept. In our mathematical curriculum, the contexts of the teaching of probability can be classified into five cases. We suggested some intuitive diagrams to be likely to decrease the cognitive complications caused by the equal possibilities of the unit event in the cases, respectively.

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Local Influence Assessment of the Misclassification Probability in Multiple Discriminant Analysis

  • Jung, Kang-Mo
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.471-483
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    • 1998
  • The influence of observations on the misclassification probability in multiple discriminant analysis under the equal covariance assumption is investigated by the local influence method. Under an appropriate perturbation we can get information about influential observations and outliers by studying the curvatures and the associated direction vectors of the perturbation-formed surface of the misclassification probability. We show that the influence function method gives essentially the same information as the direction vector of the maximum slope. An illustrative example is given for the effectiveness of the local influence method.

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DEVELOPING NONINFORMATIVE PRIORS FOR THE FAMILIAL DATA

  • Heo, Jung-Eun;Kim, Yeong-Hwa
    • Journal of the Korean Statistical Society
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    • v.36 no.1
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    • pp.77-91
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    • 2007
  • This paper considers development of noninformative priors for the familial data when the families have equal number of offspring. Several noninformative priors including the widely used Jeffreys' prior as well as the different reference priors are derived. Also, a simultaneously-marginally-probability-matching prior is considered and probability matching priors are derived when the parameter of interest is inter- or intra-class correlation coefficient. The simulation study implemented by Gibbs sampler shows that two-group reference prior is slightly edge over the others in terms of coverage probability.

Kinetic Analysis of the Probability of Hexagonal Face in Juryeonggu (주령구에서 육각면이 나올 확률에 대한 운동역학적 해석)

  • Yoo, Wan Suk;Lee, Jeong Han
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.11
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    • pp.1085-1089
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    • 2017
  • Juryeonggu is a cuboctahedral die that was used during the Silla period in ancient Korea. This cuboctahedral die consists of two different penal servitudes of 14 sides; however, its equal probability distribution enables it to be used as a die. In this paper, a precise cuboctahedral die, Juryeonggu, was manufactured, and its probability was measured through experiments. Next, the probability was verified through Multibody-dynamics (MBD) modeling and analysis, and the effect of the coefficient of friction on the probability distribution was studied.