• 제목/요약/키워드: statistical approach

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A Heuristic Approach for Approximating the ARL of the CUSUM Chart

  • Kim, Byung-Chun;Park, Chang-Soon;Park, Young-Hee;Lee, Jae-Heon
    • Journal of the Korean Statistical Society
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    • 제23권1호
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    • pp.89-102
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    • 1994
  • A new method for approximating the average run length (ARL) of cumulative sum (CUSUM) chart is proposed. This method uses the conditional expectation for the test statistic before the stopping time and its asymptotic conditional density function. The values obtained by this method are compared with some other methods in normal and exponential case.

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ON BAYESIAN ESTIMATION AND PROPERTIES OF THE MARGINAL DISTRIBUTION OF A TRUNCATED BIVARIATE t-DISTRIBUTION

  • KIM HEA-JUNG;KIM Ju SUNG
    • Journal of the Korean Statistical Society
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    • 제34권3호
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    • pp.245-261
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    • 2005
  • The marginal distribution of X is considered when (X, Y) has a truncated bivariate t-distribution. This paper mainly focuses on the marginal nontruncated distribution of X where Y is truncated below at its mean and its observations are not available. Several properties and applications of this distribution, including relationship with Azzalini's skew-normal distribution, are obtained. To circumvent inferential problem arises from adopting the frequentist's approach, a Bayesian method utilizing a data augmentation method is suggested. Illustrative examples demonstrate the performance of the method.

An Empirical Comparison of Ratio and PPS Strategies

  • Sahoo, L.N.;Dalabehera, M.
    • Journal of the Korean Statistical Society
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    • 제31권2호
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    • pp.143-152
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    • 2002
  • In an effort to make a right choice among ratio estimation strategies and PPS sampling strategies, we conduct an empirical investigation of the relative performances of three ratio estimation strategies and four PPS estimation strategies using a set of 12 natural populations. The quality of a strategy is measured in the traditional way, namely with the consideration of efficiency, achieved coverage rate of the nominal 99% confidence interval and approach to normality (asymmetry).

Analysis of Forward Recurrence Time in Alternating Renewal Process

  • 이의용;안혜란;최승경
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2002년도 추계 학술발표회 논문집
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    • pp.115-117
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    • 2002
  • In this paper, we obtain an explicit formula of the Laplace transform of the forward recurrence time at finite time t > 0 in an alternating renewal process, by adopting a Markovian approach. As a consequence, we obtain the first two moments of the forward recurrence time.

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Semiparametric Bayesian Estimation under Structural Measurement Error Model

  • Hwang, Jin-Seub;Kim, Dal-Ho
    • Communications for Statistical Applications and Methods
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    • 제17권4호
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    • pp.551-560
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    • 2010
  • This paper considers a Bayesian approach to modeling a flexible regression function under structural measurement error model. The regression function is modeled based on semiparametric regression with penalized splines. Model fitting and parameter estimation are carried out in a hierarchical Bayesian framework using Markov chain Monte Carlo methodology. Their performances are compared with those of the estimators under structural measurement error model without a semiparametric component.

Cumulative Weighted Score Control Schemes for Controlling the Mean of a Continuous Production Process

  • Park, Byoung-Chul;Park, Sung H.
    • Journal of the Korean Statistical Society
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    • 제18권2호
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    • pp.135-148
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    • 1989
  • Cumulative sum schemes based on a weighted score are considered for controlling the mean of a continuous production process; in which both the one-sided and two-sided schemes are proposed. The average run lengths and the run length distributions for the proposed schemes are obtained by the Markov chain approach. Comparisons by the average run length show that the proposed schemes perform nearly as well as the standard cumulative sum schemes in detecting changes in the process mean. Comparisons of the one-sided schemes by the run length distribution are also presented.

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EWMA Control Charts to Monitor Correlation Coefficients

  • Chang, Duk-Joon;Cho, Gyo-Young;Lee, Jae-Man
    • Communications for Statistical Applications and Methods
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    • 제6권2호
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    • pp.413-422
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    • 1999
  • Multivariate EWMA control charts to simultaneously monitor correlation coefficients of correlated quality characteristics under multivariate normal process are proposed. Performances of the proposed charts are measured in terms of average run length(ARL). Numerical results show that smalle values for smoothing constant with accumulate-combine approach are preferred for detecting smalle shifts.

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Bayesian Methods for Combining Results from Different Experiments

  • Lee, In-Suk;Kim, Dal-Ho;Lee, Keun-Baik
    • Communications for Statistical Applications and Methods
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    • 제6권1호
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    • pp.181-191
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    • 1999
  • We consider Bayesian models allow multiple grouping of parameters for the normal means estimation problem. In particular, we consider a typical Bayesian hierarchical approach based on thepartial exchangeability where the components within a subgroup are exchangeable, but the different subgroups are not. We discuss implementation of such Bayesian procedures via Gibbs sampling. We illustrate the proposed methods with numerical examples.

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Asymptotic Gaussian Structures in a Critical Generalized Curie-Wiss Mean Field Model : Large Deviation Approach

  • Kim, Chi-Yong;Jeon, Jong-Woo
    • Journal of the Korean Statistical Society
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    • 제25권4호
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    • pp.515-527
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    • 1996
  • It has been known for mean field models that the limiting distribution reflecting the asymptotic behavior of the system is non-Gaussian at the critical state. Recently, however, Papangelow showed for the critical Curie-Weiss mean field model that there exist Gaussian structures in the asymptotic behavior of the total magnetization. We construct Gaussian structures existing in the internal fluctuation of the system for the critical case of a generalized Curie-Weiss mean field model.

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Estimation of the OD Traffic Intensities in Dynamic Routing Network: Routing-Independent Tomography

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • 제10권3호
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    • pp.795-804
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    • 2003
  • In this article, a tomography for the estimation of the origin-destination(OD) traffic intensities in dynamic routing network is considered. Vardi(1996)'s approach based on fixed route is not directly applicable to dynamic routing protocols, which arises from the fact that we cannot access the route at every observation time. While it uses link-wise traffics as the observations, the proposed method considers the triple of ingress/outgress/relayed traffics data at each node so that we can transform the problem into a routing-independent tomography. An EM algorithm for implementation and some simulated experiments are provided.