• Title/Summary/Keyword: sample of random size

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Bayesian Estimations for the Two-parameter Exponential Model under the Type-II Censoring (제2종(第2種) 중단(中斷) 자료(資料)에서 두 모수지수분포(母數指數分布)의 베이지안 추정(推定))

  • Kim, Heon-Joo;Youn, Young-Hwa;Ko, Jeong-Hwan
    • Journal of the Korean Data and Information Science Society
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    • v.4
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    • pp.65-74
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    • 1993
  • Suppose that we have two populations(or systems), say ${\Pi}_{1}\;and\;{\Pi}_{2}$, to be tested. A random sample of size n from each population is taken and the test for each system will be terminated when the first r failures among n random samples are observed. This kind of test is caned the type-II censored (or item-censored) testing without replacement. Under this scheme we consider the problem of estimating the unknown parameters of interests and the reliability for a given time t for each population.

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Distribution of the Estimator for Peak of a Regression Function Using the Concomitants of Extreme Oder Statistics

  • Kim, S.H;Kim, T.S.
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.855-868
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    • 1998
  • For a random sample of size n from general linear model, $Y_i= heta(X_i)+varepsilon_i,;let Y_{in}$ denote the ith oder statistics of the Y sample values. The X-value associated with $Y_{in}$ is denoted by $X_{[in]}$ and is called the concomitant of ith order statistics. The estimator of the location of a maximum of a regression function, $ heta$($\chi$), was proposed by (equation omitted) and was found the convergence rate of it under certain weak assumptions on $ heta$. We will discuss the asymptotic distributions of both $ heta(X_{〔n-r+1〕}$) and (equation omitted) when r is fixed as nolongrightarrow$\infty$(i.e. extreme case) on the basis of the theorem of the concomitants of order statistics. And the will investigate the asymptotic behavior of Max{$\theta$( $X_{〔n-r+1:n〕/}$ ), . , $\theta$( $X_{〔n:n〕}$)}as an estimator for the peak of a regression function.

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Students' Perspective (Stream Wise) of Parameters Affecting the Undergraduate Engineering Education: A Live Study

  • Kumari, Neeraj;Kumar, Deepak
    • Asian Journal of Business Environment
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    • v.6 no.1
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    • pp.25-30
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    • 2016
  • Purpose - The study aims to examine the students' perspective (stream wise) of parameters affecting the undergraduate engineering education system present in a private technical institution in NCR, Haryana, India. Research design, data, and methodology - It is a descriptive type of research in nature. Questionnaire Based Survey has been used to collect the data. The sample size for the study is 500 comprising of the students respondents. The sample has been taken randomly and the questionnaire was filled by the students (pursuing B. Tech) chosen on the random basis from a private technical educational institution in NCR, Haryana, India. For data analysis and conclusion of the results of the survey, statistical tool like F test was performed with the help of high quality software; SPSS. Conclusion - Analysis of variance revealed statistically no difference between the mean number of the groups (stream wise) for the parameters "Selection", "Academic Excellence", "Infrastructure", "Personality Development and Industry Exposure" and "Management and Administration". While Analysis of variance revealed statistically difference between the mean numbers of the groups for the parameter "Placements".

A Study on Sampling Methods in Rice Yield Survey

  • Park, Hong-Nai
    • Journal of the Korean Statistical Society
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    • v.4 no.1
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    • pp.19-33
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    • 1975
  • The Ministry of Agriculture and Fishery had carried out a random sample survey on rice yield by the method of plot cutting since 1959 to obtain correct statistics on rice production. There are important problems connected with the determination of optimum size and shape of sample plot, variation of yield between plots and field and variation in the time needed for different types of plot cutting. This kind of research has been performed in India by Dr. P. V. Sukhatme and Dr. V. G. Panse. Also the same optimum procedures are much different in Japan that in India. In Korea, the optimum procedures may well be different from either of these countries. Although the government is proceeding with the crop yield survey, it does not attempt to investigate plot problems but emphasize total rice yield estimation. This particular research was conducted on a scale enough that the author could personally supervise all of the work.

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Asymptotic Properties of Upper Spacings

  • Yun, Seok-Hoon
    • Journal of the Korean Statistical Society
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    • v.26 no.3
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    • pp.289-297
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    • 1997
  • It is well known that the spacings, the differences of two successive order statistics, in a random sample of size n from a distribution function F are independent and exponentially distributed if F is itself the exponential distribution. In this paper we obtain an asymptotically similar result on a fixed number of upper spacings as n .to. .infty. for a general F under the assumption that F is in the domain of attraction of some extreme value distribution. For a heavy or short tailed F, appropriate log transformations of the sample should be proceded to get the result. As a by-product, we also get that each upper spacing diverges in probability to .infty. and converges in probability to 0 as n .to. .infty. for a heavy and short tailed F, respectively, which is fully expected.

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On Convergence of Stratification Algorithms for Skewed Populations

  • Park, In-Ho
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1277-1287
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    • 2009
  • For stratifying skewed populations, the Lavall$\acute{e}$e-Hidiroglou(LH) algorithm is often considered to have a take-all stratum with the largest units and some take-some strata with the middle-size and small units. Related to its iterative nature have been reported some numerical difficulties such as the dependency of the ultimate stratum boundaries to a choice of initial boundaries and the slow convergence to locally-optimum boundaries. The geometric stratification has been recently proposed to provide initial boundaries that can avoid such numerical difficulties in implementing the LH algorithm. Since the geometric stratification does not pursuit the optimization but the equalization of the stratum CVs, the corresponding stratum boundaries may not be (near) optimal. This paper revisits these issues concerning convergence and near-optimality of optimal stratification algorithms using artificial numerical examples. We also discuss the formation of the strata and the sample allocation under the optimization process and some aspects related to discontinuity arisen from the finiteness of both population and sample as well.

Analysis of Electronic Commerce Adoption from a Technological Innovation Perspective (기술혁신의 관점에서 전자상거래 도입단계의 실증분석)

  • Suh, Chang-Kyo;Lee, Hyung-Seok
    • Asia pacific journal of information systems
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    • v.10 no.2
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    • pp.197-211
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    • 2000
  • Despite the increasing pervasiveness of electronic commerce, very little empirical research has been done to examine its use in organizational contexts. Based on theories from the technological innovation literature, we developed an integrated model of electronic commerce initiation, adoption and implementation in Korea. We selected a random sample of 500 Korean leading companies. A questionnaire survey examined factors in initiation, adoption, and implementation of electronic commerce. Independent variables of this research were environment uncertainty, organizational characteristics(namely, organizational size, centralization, and formalization), and information system maturity. The resultant study sample included 62 firms across the industries. The empirical tests of the hypotheses were performed. According to our findings, environmental uncertainty, centralization, formalization, and information system maturity have a significant effect on the electronic commerce initiation, adoption and implementation.

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Comparison of MLE and REMLE of Linear Mixed Models in Assessing Bioequivalence based on 2x2 Crossover Design with Missing data

  • Chung, Yun-Ro;Park, Sang-Gue
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.4
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    • pp.1211-1218
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    • 2008
  • Maximum likelihood estimator (MLE) and restricted maximum likelihood estimator (REMLE) approaches are available in analyzing the linear mixed model (LMM) like bioequivalence trials. US FDA (2001) guides that REMLE may be useful to assess bioequivalence (BE) test. This paper studies the statistical behaviors of the methods in assessing BE tests when some of observations are missing at random. The simulation results show that the REMLE maintains the given nominal level well and the MLE gives a bit higher power. Considering the levels and the powers, the REMLE approach is recommended when the sample sizes are small to moderate and the MLE approach should be used when the sample size is greater than 30.

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Development of Random fracture network for discontinuity plane (불연속면의 확률절리망 알고리즘의 개발)

  • Ko, Wang-Kyung
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.2
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    • pp.189-199
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    • 2000
  • A major deficiency of laboratory testing of rock structure is that the structures are limited in size and therefore present a very small and highly selective sample of the rock mass from which were removed. In a typical engineering project, the samples tested in the laboratory represent only a very small fraction of one percent of the volume of the rock mass. In this paper, we calculate the representative orientation of the resultant vector, the measure of the degree of clustering, the volume of rock mass, the trace length of discontinuity spacing under underlying distributions. And we generate the random fracture networks using real data. We propose the calculating the trace length.

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Application of Linkage Disequilibrium Mapping Methods to Detect QTL for Carcass Quality on Chromosome 6 Using a High Density SNP Map in Hanwoo

  • Lia, Y.;Lee, J.H.;Lee, Y.M.;Kim, J.J.
    • Asian-Australasian Journal of Animal Sciences
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    • v.24 no.4
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    • pp.457-462
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    • 2011
  • The purpose of this study was to detect QTL for carcass quality on bovine chromosome (BTA) 6 using a high density SNP map in a Hanwoo population. The data set comprised 45 sires and their 427 Hanwoo steers that were born between spring of 2005 and fall of 2007. The steers that were used for progeny testing in the Hanwoo Improvement Center in Seosan, Korea, were genotyped with the 2,535SNPs on BTA6 that were embedded in the Illumina bovine SNP 50K chip. Four different linkage disequilibrium (LD) mapping models were applied to detect significant SNPs for carcass quality traits; the fixed model with a single marker, the random model with a single marker, the random model with haplotype effects using two adjacent markers, and the random model at hidden state. A total of twelve QTL were detected, for which four, one, three and four SNPs were detected on BTA6 under the respective models (p<0.001). Among the detected QTL, four, two, five and one QTL were associated with carcass weight, backfat thickness, longissimus dorsi muscle area, and marbling score, respectively (p<0.001). Our results suggest that the use of multiple LD mapping approaches may be beneficial in increasing power to detect QTL given a limited sample size and magnitude of QTL effect.