• Title/Summary/Keyword: Normal Distribution

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An approach to improving the James-Stein estimator shrinking towards projection vectors

  • Park, Tae Ryong;Baek, Hoh Yoo
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1549-1555
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    • 2014
  • Consider a p-variate normal distribution ($p-q{\geq}3$, q = rank($P_V$) with a projection matrix $P_V$). Using a simple property of noncentral chi square distribution, the generalized Bayes estimators dominating the James-Stein estimator shrinking towards projection vectors under quadratic loss are given based on the methods of Brown, Brewster and Zidek for estimating a normal variance. This result can be extended the cases where covariance matrix is completely unknown or ${\sum}={\sigma}^2I$ for an unknown scalar ${\sigma}^2$.

Tightened-Normal-Tightened Group Acceptance Sampling Plan for Assuring Percentile Life

  • Aslam, Muhammad;Azam, Muhammad;Jun, Chi-Hyuck
    • Industrial Engineering and Management Systems
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    • v.11 no.4
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    • pp.390-396
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    • 2012
  • The present paper extends the idea of tightened-normal-tightened sampling scheme to group acceptance sampling plans under the time truncated life tests. We consider three famous distributions that are widely used in the area of reliability such as the generalized exponential distribution, the Weibull distribution, and the Birnbaum-Saunders distribution in the proposed sampling plan. The plan parameters are determined such that the producer's risk and the consumer's risk are satisfied at the specified median life. Extensive tables showing plan parameters are provided at various values of the experiment time and the consumer's risk for each of three distributions for the practical use. Some examples are given to illustrate the procedure of the proposed plan.

A D-H type Public Key Distribution System using a Normal Basis GF($2^m$) (GF($2^m$ ) 의 정규기저를 사용한 D-H형 공용키이분배 시스템)

  • 이창순
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.1 no.1
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    • pp.29-37
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    • 1991
  • several variants of the Diffie-Hellman public key distribution are examined, and a simkple and relatively secure public key distribution protocol is introduced. Using a normal basis of GF(2), this protocol is implemented, and simulated in software. A program is developed, whereby a normal basis is effectively searched for fost multiplication in GF(2).

The Role of the Cauchy Probability Distribution in a Continuous Taboo Search (연속형 타부 탐색에서 코시 확률 분포의 역할)

  • Lee, Chang-Yong;Lee, Dong-Ju
    • Journal of KIISE:Software and Applications
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    • v.37 no.8
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    • pp.591-598
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    • 2010
  • In this study, we propose a new method for generating candidate solutions based on the Cauchy probability distribution in order to complement the shortcoming of the solutions generated by the normal distribution. The Cauchy probability distribution has infinite mean and variance, and it has rather large probability in the tail region relative to the normal distribution. Thus, the Cauchy distribution can yield higher probabilities of generating candidate solutions of large-varied variables, which in turn has an advantage of searching wider area of variable space. In order to compare and analyze the performance of the proposed method against the conventional method, we carried out an experiment using benchmarking problems of real valued function. From the result of the experiment, we found that the proposed method based on the Cauchy distribution outperformed the conventional one for all benchmarking problems, and verified its superiority by the statistical hypothesis test.

Probability Distribution of Track Recording Data (궤도틀림 검측 데이타의 확률분포 검토)

  • Lee, Jee-Ha;Na, Sung-Hoon;Kim, Bag-Jin;Lee, You-Bok
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.310-314
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    • 2010
  • Track geometry changes by traffic loads. The bigger the changes are, the worse the riding comfort and running stability of train. This is so-called track irregularity and is the most important quality parameters of ballasted track. To objectively assess track irregularity, track geometry should be able to be measured. Practically, railway companies in Korea use normal distribution as probability distribution of track irregularity. But some countries use non-normal distribution according to their own track recording system. In this report, reviewed probability distribution of Kyung-Bu high-speed line and tested normality.

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Reliability Estimation of Series-Parallel Systems Using Component Failure Data (부품의 고장자료를 이용하여 직병렬 시스템의 신뢰도를 추정하는 방법)

  • Kim, Kyung-Mee O.
    • IE interfaces
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    • v.22 no.3
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    • pp.214-222
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    • 2009
  • In the early design stage, system reliability must be estimated from life testing data at the component level. Previously, a point estimate of system reliability was obtained from the unbiased estimate of the component reliability after assuming that the number of failed components for a given time followed a binomial distribution. For deriving the confidence interval of system reliability, either the lognormal distribution or the normal approximation of the binomial distribution was assumed for the estimator of system reliability. In this paper, a new estimator is used for the component level reliability, which is biased but has a smaller mean square error than the previous one. We propose to use the beta distribution rather than the lognormal or approximated normal distribution for developing the confidence interval of the system reliability. A numerical example based on Monte Carlo simulation illustrates advantages of the proposed approach over the previous approach.

The Limit Distribution and Power of a Test for Bivariate Normality

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.187-196
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    • 2002
  • Testing for normality has always been a center of practical and theoretical interest in statistical research. In this paper a test statistic for bivariate normality is proposed. The underlying idea is to investigate all the possible linear combinations that reduce to the standard normal distribution under the null hypothesis and compare the order statistics of them with the theoretical normal quantiles. The suggested statistic is invariant with respect to nonsingular matrix multiplication and vector addition. We show that the limit distribution of an approximation to the suggested statistic is represented as the supremum over an index set of the integral of a suitable Gaussian Process. We also simulate the null distribution of the statistic and give some critical values of the distribution and power results.

Automated Link Tracing for Classification of Malicious Websites in Malware Distribution Networks

  • Choi, Sang-Yong;Lim, Chang Gyoon;Kim, Yong-Min
    • Journal of Information Processing Systems
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    • v.15 no.1
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    • pp.100-115
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    • 2019
  • Malicious code distribution on the Internet is one of the most critical Internet-based threats and distribution technology has evolved to bypass detection systems. As a new defense against the detection bypass technology of malicious attackers, this study proposes the automated tracing of malicious websites in a malware distribution network (MDN). The proposed technology extracts automated links and classifies websites into malicious and normal websites based on link structure. Even if attackers use a new distribution technology, website classification is possible as long as the connections are established through automated links. The use of a real web-browser and proxy server enables an adequate response to attackers' perception of analysis environments and evasion technology and prevents analysis environments from being infected by malicious code. The validity and accuracy of the proposed method for classification are verified using 20,000 links, 10,000 each from normal and malicious websites.

DSP based Real-Time Fault Determination Methodology using Artificial Neural Network in Smart Grid Distribution System (스마트 그리드 배전계통에서 인공신경회로망을 이용한 DSP 기반 실시간 고장 판단 방법론 기초 연구)

  • Jin-Eun Kim;Yu-Rim Lee;Jung-Woo Choi;Byung-Hoon Roh;Yun-Seok Ko
    • The Journal of the Korea institute of electronic communication sciences
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    • v.18 no.5
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    • pp.817-826
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    • 2023
  • In this paper, a fault determination methodology based on an artificial neural network was proposed to protect the system from faults on the lines in the smart grid distribution system. In the proposed methodology, first, it was designed to determine whether there is a low impedance line fault (LIF) based on the magnitude of the current RMS value, and if it is determined to be a normal current, it was designed to determine whether a high impedance ground fault (HIF) is present using Normal/HIF classifier based on artificial neural network. Among repetitive DSP module-based algorithm verification tests, the normal/HIF classifier recognized the current waveform as normal and did not show reclosing operation for the cases of normal state current waveform simulation test where the RMS value was smaller than the minimum operating current value. On the other hand, for the cases of LIF where RMS value is greater than the minimum operating current value, the validity of the proposed methodology could be confirmed by immediately recognizing it as a fault state and showing reclosing operation according to the prescribed procedure.

Use of the t-Distribution to Construct Seismic Hazard Curves for Seismic Probabilistic Safety Assessments

  • Yee, Eric
    • Nuclear Engineering and Technology
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    • v.49 no.2
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    • pp.373-379
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    • 2017
  • Seismic probabilistic safety assessments are used to help understand the impact potential seismic events can have on the operation of a nuclear power plant. An important component to seismic probabilistic safety assessment is the seismic hazard curve which shows the frequency of seismic events. However, these hazard curves are estimated assuming a normal distribution of the seismic events. This may not be a strong assumption given the number of recorded events at each source-to-site distance. The use of a normal distribution makes the calculations significantly easier but may underestimate or overestimate the more rare events, which is of concern to nuclear power plants. This paper shows a preliminary exploration into the effect of using a distribution that perhaps more represents the distribution of events, such as the t-distribution to describe data. The integration of a probability distribution with potentially larger tails basically pushes the hazard curves outward, suggesting a different range of frequencies for use in seismic probabilistic safety assessments. Therefore the use of a more realistic distribution results in an increase in the frequency calculations suggesting rare events are less rare than thought in terms of seismic probabilistic safety assessment. However, the opposite was observed with the ground motion prediction equation considered.