• Communications for Statistical Applications and Methods
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• 제30권1호
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• pp.109-117
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• 2023

Intuitively, a test with more assumptions has greater power than a test with fewer assumptions. This kind of examples are abundant in the nonparametric tests vs corresponding parametric ones. In general, the nonparametric tests are less efficient in terms of asymptotic relative efficiency (ARE) compared to corresponding parametric tests (Daniel, 1990). However, this is not always true. To test equal means under independent normal samples, the usual test involves using the t-distribution with the pooled estimator of the common variance. Adding the assumption of equal sample size, we may derive another test. In this case, two tests using more assumptions were performed for univariate (multivariate) cases. For these examples, it was found that the power function of a test with more assumptions is less than or equal to that of a test with fewer assumptions. This finding can be used as an expository example in master's mathematical statistics courses.

• 품질경영학회지
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• 제23권1호
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• pp.50-63
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• 1995

We study under what condition the probability of the failure state of each component is realized by the latent stress model which considers the cause of the failure as well as the state of the given system. As a result, when the number of the components is less than or equal to 3, the $MTP_2$ property is a necessary and sufficient condition for the realization of the probability of system state by the latent stress model. Moreover, if the probability of the system state involving 2 or 3 components satisfies the $MTP_2$ property, one could guess that each component is under the same stress.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 제13회 신호처리 합동 학술대회 논문집
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• pp.171-174
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• 2000

In this paper, we improve statistical-model-based speech detector using the probability that a speech occupies a frequency bin. While the previous method assumes speech energy occupies all the frequency components and use them with equal weights in the likelihood ratio test for speech detection, the proposed method assumes speech energy occupies just some frequency componets and use them with different weights in accordance with the probabilities of spectral occupancy in the test. The probability is iteratively up-dated for speech frames to contribute to the likelihood ratio test. The proposed method well reflects the characteristic distribution of speech spectrum, and yields better detection performance.

• Journal of electromagnetic engineering and science
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• 제8권2호
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• pp.59-63
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• 2008

The adaptive symbol selection scheme(ASSS) is popular in reducing peak to average power ratio(PAPR) for orthogonal frequency division multiplexing(OFDM) signals. The probability density function(pdf) of the samples' amplitudes of the adaptively selected OFDM signal without over-sampling has been considered to be approximately equal to the Rayleigh pdf. In this paper, we derive a more precise pdf which shows the relationship between the probability distribution of the samples' amplitudes and the number of the candidate symbols for ASSS. Using the newly derived pdf in the theoretical analysis, more accurate calculation results can be obtained.

• 한국수학사학회지
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• 제32권3호
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• pp.135-155
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• 2019

One of the reasons students have difficulty in studying probability is that they do not understand the meaning of mathematical terms precisely. One such term is a continuous random variable. Students tend not to think of the accurate definition of continuous random variables but to understand the definition of continuity of functions and the meaning of continuity in probability as equal. In this study, we try to explore the degree of pre-service teachers' understanding on the concept of continuation of functions and continuous random variables. To do this, the questionnaire items related to continuous random variables and continuity of functions were developed by experts and examined by pre-service teachers. Based on this, we make suggestions on implications for teaching and learning about continuous random variables.

• 한국음향학회지
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• 제22권1호
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• pp.42-47
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• 2003

본 논문에서 제안하는 방법은 화자 확인 (speaker verification)에서 시퀀스 확률비 테스트 (SPRT: sequential probability ratio test)를 위한 시작 프레임의 샘플 시프트를 이용해서 새로운 테스트 데이터를 생성하는 방법이다. SPRT는 테스트 계산량을 줄일 수 있는 효과적인 알고리즘이다. 그러나 테스트의 결정과정에서 SPRT 방법은 입력신호가 확률밀도 함수로부터 독립적이고 균일하게 분포되어 있다는 가정하에 수행할 수 있으며, 또한 발성길이가 짧은 데이터에는 적용하기에 적절하지 못하다. 제안한 방법은 시작 프레임의 샘플 시프트를 통한 새로운 테스트 데이터를 생성하는 방법이기 때문에 테스트 데이터의 길이에 상관없이 SPRT를 수행할 수 있다. 또한 SPRT 방법에서 고려해야 하는 데이터의 상관성은 주성분 분석(principal component analysis)을 이용함으로써 효과적으로 제거하였다. 실험 결과 제안한 방법은 기존의 방법보다 샘플시프트를 위한 데이터의 계산량은 약간 증가하였지만, 등가오류율 (EER: equal error rate)에서 평균0.7%이상 좋은 성능결과를 보였다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제11권7호
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• pp.3524-3542
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• 2017

In a single-source and multi-relay amplify-forward (AF) cooperative network, the outage probability and the power allocation are two key factors to influence the performance of an entire system. In this paper, an optimized AF relay selection by an exclusive method and near optimal power allocation (NOPA) is proposed for both good outage probability and power efficiency. Given the same power at the source and the relay nodes, a threshold for selecting the relay nodes is deduced and employed to minimize the average outage probability. It mainly excludes the relay nodes with much higher thresholds over the aforementioned threshold and thus the remainders of the relay nodes participate in cooperative forwarding efficiently. So the proposed scheme can improve the utility of the resources in the cooperative multi-relay system, as well as reduce the computational complexity. In addition, based on the proposed scheme, a NOPA is also suggested to approach sub-optimal power efficiency with low complexity. Simulation results show that the proposed scheme obtains about 2.1dB and 5.8dB performance gain at outage probability of $10^{-4}$, when compared with the all-relay-forward (6 participated relays) and the single-relay-forward schemes. Furthermore, it obtains the minimum outage probability among all selective relay schemes with the same number of the relays. Meanwhile, it approaches closely to the optimal exhaustive scheme, thus reduce much complexity. Moreover, the proposed NOPA scheme achieves better outage probability than those of the equal power allocation schemes. Therefore, the proposed scheme can obtain good outage probability, low computational complexity and high power efficiency, which makes it pragmatic efficiently in the single-source and multi-relay AF based cooperative networks.

• Computers and Concrete
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• 제21권3호
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• pp.291-298
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• 2018

In this study, the flexural fatigue performance of concrete beams made with 100% Coarse Recycled Concrete Aggregates (RCA) and 100% Coarse Natural Aggregates (NA) were statistically commanded. For this purpose, the experimental fatigue test results of earlier researcher were investigated using two parameter Weibull distribution. The shape and scale parameters of Weibull distribution function was evaluated using seven numerical methods namely, Graphical method (GM), Least-Squares (LS) regression of Y on X, Least-Squares (LS) regression of X on Y, Empherical Method of Lysen (EML), Mean Standard Deviation Method (MSDM), Energy Pattern Factor Method (EPFM) and Method of Moments (MOM). The average of Weibull parameters was used to incorporate survival probability into stress (S)-fatigue life (N) relationships. Based on the Weibull theory, as single and double logarithm fatigue equations for RCA and NA under different survival probability were provided. The results revealed that, by considering 0.9 level survival probability, the theoretical stress level corresponding to a fatigue failure number equal to one million cycle, decreases by 8.77% (calculated using single-logarithm fatigue equation) and 6.62% (calculated using double logarithm fatigue equation) in RCA when compared to NA concrete.

• 말소리와 음성과학
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• 제2권2호
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• pp.63-68
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• 2010

A new version of sequential probability ratio test (SPRT) which has been investigated in utterance-length control is proposed to obtain uniform response results in speaker verification (SV). Although SPRTs can obtain fast responses in SV tests, differences in the performance may occur depending on the compositions of consonants and vowels in the sentences used. In this paper, a fast sequential probability ratio test (FSPRT) method that shows consistent performances at all times regardless of the compositions of vocalized sentences for SV will be proposed. In generating frames, the FSPRT will first conduct SV test processes with only generated frames without any overlapping and if the results do not satisfy discrimination criteria, the FSPRT will sequentially use frames applied with overlapping. With the progress of processes as such, the test will not be affected by the compositions of sentences for SV and thus fast response outcomes and even consistent performances can be obtained. Experimental results show that the FSPRT has better performance to the SPRT method while requiring less complexity with equal error rates (EER).

• 대한수학교육학회지:학교수학
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• 제17권2호
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• pp.241-255
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• 2015

본 연구는 35명의 예비교사와 현직교사를 대상으로 몬테카를로 시뮬레이션의 난수 생성 아이디어에 관한 이해를 분석하여 학교현장에 교육적 함의를 제공하는데 그 목적이 있다. 연구의 분석 결과, 실험 대상의 70%가 확률 문제 해결을 위해 제시된 세 가지 유형의 난수 생성 아이디어에서 적절한 아이디어를 선택하지 못했고, 자신의 선택을 설명하는 과정에서 오류를 나타냈다. 오류 유형으로는 첫째, 연속확률분포에서 한 점 또는 경계가 선택될 확률은 확률밀도함수에 대입한 값과 같다. 둘째, 교사B의 아이디어는 조건부확률로 문제를 변형하여 표본공간을 확장한 것임에도 처음 제시된 표본공간으로만 문제를 해석하려는 오류를 나타냈다. 셋째, 두 확률변수 X, Y가 독립일 때에만 $P(X=x,\;Y=y)=p(X=x){\times}P(Y=y{\mid}X=x)$이 성립한다는 오류를 나타냈다.