• 제목/요약/키워드: chi-square distribution

검색결과 341건 처리시간 0.027초

Tests for Uniformity : A Comparative Study

  • Rahman, Mezbahur;Chakrobartty, Shuvro
    • Journal of the Korean Data and Information Science Society
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    • 제15권1호
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    • pp.211-218
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    • 2004
  • The subject of assessing whether a data set is from a specific distribution has received a good deal of attention. This topic is critically important for uniform distributions. Several parametric tests are compared. These tests also can be used in testing randomness of a sample. Anderson-Darling $A^2$ statistic is found to be most powerful.

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A Sequence of Improvement over the Lindley Type Estimator with the Cases of Unknown Covariance Matrices

  • Kim, Byung-Hwee;Baek, Hoh-Yoo
    • Communications for Statistical Applications and Methods
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    • 제12권2호
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    • pp.463-472
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    • 2005
  • In this paper, the problem of estimating a p-variate (p $\ge$4) normal mean vector is considered in decision-theoretic set up. Using a simple property of the noncentral chi-square distribution, a sequence of estimators dominating the Lindley type estimator with the cases of unknown covariance matrices has been produced and each improved estimator is better than previous one.

Notes on the Goodness-of-Fit Tests for the Ordinal Response Model

  • Jeong, Kwang-Mo;Lee, Hyun-Yung
    • The Korean Journal of Applied Statistics
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    • 제23권6호
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    • pp.1057-1065
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    • 2010
  • In this paper we discuss some cautionary notes in using the Pearson chi-squared test statistic for the goodness-of-fit of the ordinal response model. If a model includes continuous type explanatory variables, the resulting table from the t of a model is not a regular one in the sense that the cell boundaries are not fixed but randomly determined by some other criteria. The chi-squared statistic from this kind of table does not have a limiting chi-square distribution in general and we need to be very cautious of the use of a chi-squared type goodness-of-t test. We also study the limiting distribution of the chi-squared type statistic for testing the goodness-of-t of cumulative logit models with ordinal responses. The regularity conditions necessary to the limiting distribution will be reformulated in the framework of the cumulative logit model by modifying those of Moore and Spruill (1975). Due to the complex limiting distribution, a parametric bootstrap testing procedure is a good alternative and we explained the suggested method through a practical example of an ordinal response dataset.

A Study on the State Estimation for Distribution Substations (변전소 상태변수 추정에 관한 연구)

  • 이흥재;박성민;이경섭
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • 제17권3호
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    • pp.103-109
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    • 2003
  • The validity of measured data is fundamental factor for the power system automation Measured values could have errors that are caused by the communication errors and malfunctioning measuring devices. The accuracy and reliability of measured values at a substation is an important condition for robust and fault tolerant automata. Errors can be reduced by state estimation, however, global reliability of state estimation goes down in case of the existence of some bad data In this paper, a least square state estimation and bad sensor detection algorithm based on chi-square theory, ale proposed and it is applied to a domestic 154kV distribution substations. A simulator together with user friendly graphic users interface is developed using C language and Visual Basic. TCP/IP is equipped for future connection with other operation systems.

Probability Distribution Model of Received W-CDMA Signals in the Realistic Wideband Multipath Channel (광대역 다중경로 실측채널에서 W-CDMA 수신 신호의 확률분포 모델)

  • 오동진;이주석;장근영;김철성
    • Proceedings of the IEEK Conference
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    • 대한전자공학회 2000년도 하계종합학술대회 논문집(1)
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    • pp.197-200
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    • 2000
  • This paper presents a mathematical model of the output of Rake receiver of W-CDMA signals for various outdoor channel environment and different bandwidths. This mathematical model is represented as Rayleigh and noncentral chi distribution with 3 degrees of freedom. Those are obtained from the statistics of numerically generated signals. We employ Chi-square test to show how the mathematical model fits signal statistics, and confirmed that this model is appropriate for representing W-CDMA signals.

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An Adaptive Test for Ordered Interqartile Ranges among Several Distributions

  • Park, Chul-Gyu
    • Journal of the Korean Statistical Society
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    • 제30권1호
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    • pp.63-76
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    • 2001
  • An adaptive estimation and testing method is proposed for comparing dispersions among several ordered groups. Based upon the large sampling theory for nonparametric quartile estimators, we derive the order restricted estimators and construct a simple test statistic. This test statistic has a mixture of several chi-square distributions as its asymptotic null distribution. The proposed test is illustratively applied to survival time data for the patients with carcinoma of the oropharynx.

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A Realization of Applicable GPS/INS Fault Detection Algorithm for UAV using Low Grade Processor (저급 프로세서에 적용 가능한 무인기용 GPS/INS 고장검출 알고리즘 구현)

  • Yoo, Jang-Sik;Ahn, Jong-Sun;Sung, Sang-Kyung;Lee, Young-Jae;Chun, Se-Bum
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • 제38권8호
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    • pp.781-789
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    • 2010
  • In the GPS/INS integrated system fault detection, algorithm based on a chi-square distribution is commonly used. In this paper, it has been proposed simplified GPS/INS fault detection algorithm that is combined conventional RAIM (Receiver Autonomous Integrity Monitor) and algorithm based on chi-square distribution for UAV using row-grade processor. It use a fault model to verify the proposed algorithm and produced the result.

Locating and Searching Hidden Messages in Stego-Images (스테고 이미지에서 은닉메시지 감지기법)

  • Ji, Seon-Su
    • Journal of Korea Society of Industrial Information Systems
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    • 제14권3호
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    • pp.37-43
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    • 2009
  • Steganography conceals the fact that hidden message is being sent on the internet. Steganalysis can be detected the abrupt changes in the statistics of a stego-data. After message embedding, I have analyzed for the statistical significance of the fact the occurrence of differences among the four-neighboring pixels. In this case, when a embedding messages within a images is small, use EC value and chi-square test to determine whether a distribution in an images matches a distribution that shows distortion from stego-data.

A COMPARISON OF THE FORM OF THE FACE, THE DENTAL ARCH AND THE MAXILLARY CENTRAL INCISOR (안모, 치열궁 및 상악 중절치의 형태에 관한 상호 비교 연구)

  • Lee Bong-Ho;Chung Chae-Heon
    • The Journal of Korean Academy of Prosthodontics
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    • 제30권2호
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    • pp.273-285
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    • 1992
  • The purpose of this study was to evaluate facial form, arch form and tooth form in young adults to determine if a correlation exists. 115 subjects who had healthy natural maxillary incisors and good occlusion consisted of 71 males and 44 females ranging from 20-30 years of age. Facial photographs and, intraoral photographs of upper anterior teeth and dental casts of upper jaws were taken to demonstrate facial form, dental arch form and tooth form. Form analysis is determined by comparing the ratio of the widths of the faces, dental archs and the teeth. The Chi-square test of independence between facial form, arch form and tooth form, was executed and the significance level determined. The results were as follows : 1. The distribution of facial forms was 66.1% square-tapering, 27.0% square, 5.2% ovoid, 2% tapering-square. 2. The distribution of tooth forms was 65.2% ovoid, 20.0% square-tapering, 11.3 % tapering-square, 3.5 % square. 3. The distribution of arch forms was 50.4 % square-tapering, 48.7 % tapering, 0.9 % reverse tapering-square. 4. There was no large differences in the distribution of facial forms, dental arch forms and tooth-forms between male and female. 5. No relationship existed between the tooth form and the facial form. 6. No relationship existed between the facial form and the dental arch form. 7. No relationship existed between the tooth form and the dental arch form. 8. This gave the impression that dental arch form and facial form could not be used as a true index in tooth selection.

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Effects of Lexical Aspect on the Interlanguage of Ibibio ESL Learners: Later than Sooner

  • Willie, Willie U.
    • Cross-Cultural Studies
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    • 제43권
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    • pp.459-483
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    • 2016
  • The main objective of this paper is to test the major prediction of the Aspect Hypothesis on interlanguage narratives collected from 171 Ibibio ESL learners in a classroom setting using sets of picture stories. Aspect Hypothesis predicts that lexical aspectual classes of verbs would determine the pattern of acquisition and distribution of tense-aspect morphology at the very early stages of L2 acquisition of tense-aspect verbal morphology. That is, telic verbs would be marked with the past tense-aspect verbal morphology before atelic verbs in the interlanguage of ESL learners irrespective of their L1 background. The results of our data analyses show a significant effect from the lexical aspect on the acquisition and distribution of tense-aspect morphology with chi-square statistics of ($x^2=196.92$,df = 6, n = 1664, p = <.0001). However, the effect of the lexical aspect is shown to be more prominent among Ibibio ESL learners at higher levels of proficiency. This is contrary to the prediction regarding Aspect Hypothesis. The paper concludes that the influence of the lexical aspect on the pattern of acquisition and distribution of tense-aspect morphology may be universal but the actual point along the developmental pathway when such influence is obtainable is yet to be determined. This calls for more research into the pattern of the L2 acquisition of tense-aspect verbal morphology.