• Title/Summary/Keyword: Random Sample

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ASYMPTOTIC DEPENDENCE BETWEEN RANDOM CENTRAL QUASI-RANGES AND RANDOM EMPIRICAL QUANTILES

  • Nigm, E.M.
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.289-302
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    • 2004
  • The asymptotic dependence between the central quasi-ranges and empirical quantiles was studied. The asymptotic dependence are obtained when the sample size is a positive integer valued random variable (r. v.). The dependence conditions and limit forms are obtained under generl conditions such as : the interrelation of the basic variables (the original random sample) and the random sample size is not restricted. In additition the normalizing constants do not depend on the random size.

Methods of Random Signal Detection with Rank Statistics : Part 2. The Two-Sqample Case (순위 통계량으로 확률 신호를 검파하는 방법 : 제 2 부. 두 표본을 쓸 때)

  • 송익호;한영옥;엄태상;오택상;류흥균
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.5
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    • pp.445-448
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    • 1991
  • The two-sample locally optimum rank detection scheme is obtained which uses rank and sign statistics for detection of random signals in additive noise. It is shown that the detector is similar in structure to the locally optimum detector for random signals and to the one-sample locally optimum rank detector for random signals. It is also shown that the detector is a generalization of the two-sample locally optimum rank detector for known signals. In addition , the problem of two-sample locally optimum rank detection of random signals in multiple input case is considered briefly.

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Distortion Analysis for two TDM Channel Expansion Methodsperiodic Sample Skipping and Sampling Frequency Reduction (주기적 Sample Skipping과 표준화주파수 축소에 의한 TDM 회선증가방식에서의 불특정 해석)

  • 안병성;이재균
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.12 no.3
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    • pp.30-36
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    • 1975
  • Distortions are analyzed and compared for two TDM channel expansion methods- periodic sample skipping and sampling frequency reduction. Signal is assumed to be stationary random signal with zero.mean. Channel noise and interference are not considered in the analysis. For speech signal, it is shown that the periodic sample skipping method could be a better choice under practical design constraints.

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A Topological Analysis of Large Scale Structure Using the CMASS Sample of SDSS-III

  • Choi, Yun-Young;Kim, Juhan;Kim, Sungsoo
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.2
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    • pp.56.2-56.2
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    • 2013
  • We study the three-dimensional genus topology of large-scale structure using the CMASS Data Release 11 sample of the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS). The CMASS sample yields a genus curve that is characteristic of one produced by Gaussian random-phase initial conditions. The data thus supports the standard model of inflation where random quantum fluctuations in the early universe produced Gaussian random-phase initial conditions. Modest deviations in the observed genus from random phase are as expected from the nonlinear evolution of structure. We construct mock SDSS CMASS surveys along the past light cone from the Horizon Run 3 (HR3) N-body simulations, where gravitationally bound dark matter subhalos are identified as the sites of galaxy formation. We study the genus topology of the HR3 mock surveys with the same geometry and sampling density as the observational sample, and the observed genus topology to be consistent with LCDM as simulated by the HR3 mock samples.

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A Study on economically optimal Determination of the Parameters of the Stratified Random Sampling (확률추출에 의한 층별 샘플링의 경제성에 관한 연구)

  • 황의철;이영식
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.13 no.21
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    • pp.81-90
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    • 1990
  • In stratified random sampling a simple random sample must be taken in each stratum to reduce the maximum gain in precision given the minimum cost. The purpose of this paper is to deal with the propertics of the estimates and variances and obtain the economic design of stratified random sampling through the optimum allocation of the sample sizes. In addition, the between stratum variation and the within stratum variation is stratifying the population are described.

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Numerical and statistical analysis of permeability of concrete as a random heterogeneous composite

  • Zhou, Chunsheng;Li, Kefei
    • Computers and Concrete
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    • v.7 no.5
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    • pp.469-482
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    • 2010
  • This paper investigates the concrete permeability through a numerical and statistical approach. Concrete is considered as a random heterogeneous composite of three phases: aggregates, interfacial transition zones (ITZ) and matrix. The paper begins with some classical bound and estimate theories applied to concrete permeability and the influence of ITZ on these bound and estimate values is discussed. Numerical samples for permeability analysis are established through random aggregate structure (RAS) scheme, each numerical sample containing randomly distributed aggregates coated with ITZ and dispersed in a homogeneous matrix. The volumetric fraction of aggregates is fixed and the size distribution of aggregates observes Fuller's curve. Then finite element method is used to solve the steady permeation problem on 2D numerical samples and the overall permeability is deduced from flux-pressure relation. The impact of ITZ on overall permeability is analyzed in terms of ITZ width and contrast ratio between ITZ and matrix permeabilities. Hereafter, 3680 samples are generated for 23 sample sizes and 4 contrast ratios, and statistical analysis is performed on the permeability dispersion in terms of sample size and ITZ characteristics. By sample theory, the size of representative volume element (RVE) for permeability is then quantified considering sample realization number and expected error. Concluding remarks are provided for the impact of ITZ on concrete permeability and its statistical characteristics.

A Nonparametric Method for Random Signal Detection in Signal-Dependent Noise : Two-Sample Case (신호 의존성 잡음에서 확률 신호 검파를 위한 비모수 방법 : 두 표본을 쓰는 경우)

  • Kim, Chang-Bae;Song, Ik-Ho;Bae, Jin-Su
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.4C
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    • pp.374-378
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    • 2003
  • The asymptotic performance of the two-sample locally optimum rank detector for random signals buried in signal-dependent noise and additive noise is consigered in this paper. It is shown that the locally optimum rank detector, a nonparametric detector, has reasonable asymptotic performance for a class of correlated random signals, compared with the locally optimum detector. It is noteworthy that the the two-sample locally optimum rank detector perform almost the same with the one-sample locally optimum rank detector.

Large Sample Tests for Independence and Symmetry in the Bivariate Weibull Model under Random Censorship

  • Cho, Jang-Sik;Ko, Jeong-Hwan;Kang, Sang-Kil
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.2
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    • pp.405-412
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    • 2003
  • In this paper, we consider two components system which the lifetimes have a bivariate weibull distribution with random censored data. Here the censoring time is independent of the lifetimes of the components. We construct large sample tests for independence and symmetry between two-components based on maximum likelihood estimators and the natural estimators. Also we present a numerical study.

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Test for Independence in Bivariate Weibull Model under Bivariate Random Censorship

  • Cho, Jang-Sik;Cho, Kil-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.789-797
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    • 2003
  • In this paper, we consider two components system which have bivariate weibull model with bivariate random censored data. We proposed large sample test for independence based on maximum likelihood estimator and relative frequency estimator, respectively. Also we derive asymptotic properties for the large sample tests and present a numerical study.

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