• Title/Summary/Keyword: data distributions

Search Result 2,607, Processing Time 0.028 seconds

Estimation for ordered means in normal distributions

  • Cho, Kil-Ho
    • Journal of the Korean Data and Information Science Society
    • /
    • v.21 no.5
    • /
    • pp.951-958
    • /
    • 2010
  • In this paper, we obtain the restricted maximum likelihood estimators (RMLE's) for means in normal distributions with the ordered mean constraints. The biases and mean squared errors (MSE's) of these RMLE's are approximated by Mote Carlo methods. In every case a substantial savings in MSE is obtained at the expense of a small loss in bias when using RMLE's instead of the unrestricted MLE's.

Analysis on the Amino Acid Distributions with Position in Transmembrane Proteins

  • Chi, Sang-Mun
    • Journal of the Korean Data and Information Science Society
    • /
    • v.16 no.4
    • /
    • pp.745-758
    • /
    • 2005
  • This paper presents a statistical analysis on the position-specific distributions of amino acid residues in transmembrane proteins. A hidden Markov model segments membrane proteins to produce segmented regions of homogeneous statistical property from variable-length amino acids sequences. These segmented residues are analyzed by using chi-square statistic and relative-entropy in order to find position-specific amino acids. This analysis showed that isoleucine and valine concentrated on the center of membrane-spanning regions, tryptophan, tyrosine and positive residues were found frequently near both ends of membrane.

  • PDF

Noninformative Priors for the Common Scale Parameter in the Inverse Gaussian Distributions

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
    • /
    • v.15 no.4
    • /
    • pp.981-992
    • /
    • 2004
  • In this paper, we develop the noninformative priors for the common scale parameter in the inverse gaussian distributions. We developed the first and second order matching priors. Next we revealed that the second order matching prior satisfies a HPD matching criterion. Also we showed that the second order matching prior matches alternative coverage probabilities up to the second order. It turns out that the one-at-a-time reference prior satisfies a second order matching criterion. Some simulation study is performed.

  • PDF

Measuring Process Capability with Beta Distributions (베타분포의 공정능력 평가)

  • 김진수;김홍준
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.22 no.50
    • /
    • pp.281-291
    • /
    • 1999
  • This paper is a brief review of the different procedures that are available for fitting theoretical distributions to data. The use of each technique is illustrated by reference to a distribution system which including the Pearson, Johnson and Burr functions. These functions can be used to calculate percent out of specification. The main objectives of this study are to propose a new methods for estimating a measure of process capability for Beta distributed variable data by using the percentage nonconforming. The comprehensive information for the process can be used to evaluate more accurately process capability.

  • PDF

A Study on the Fuzzy-Bayes Method

  • Kyeoi, Tae-Hwa;Sohn, Joong-Kweon
    • Journal of the Korean Data and Information Science Society
    • /
    • v.15 no.1
    • /
    • pp.173-181
    • /
    • 2004
  • In this paper, we study and examine the sensitivity of the fuzzy-Bayes method whose properties are relatively not known much. Two fuzzy conditions and two actions are considered. Also some normal distributions and uniform distributions are assumed as a prior distribution for a parameter in the fuzzy-Bayes method.

  • PDF

Bayes Estimation of Two Ordered Exponential Means

  • Hong, Yeon-Woong;Kwon, Yong-Mann
    • Journal of the Korean Data and Information Science Society
    • /
    • v.15 no.1
    • /
    • pp.273-284
    • /
    • 2004
  • Bayes estimation of parameters is considered for two independent exponential distributions with ordered means. Order restricted Bayes estimators for means are obtained with respect to inverted gamma, noninformative prior and uniform prior distributions, and their asymptotic properties are established. It is shown that the maximum likelihood estimator, restricted maximum likelihood estimator, unrestricted Bayes estimator, and restricted Bayes estimator of the mean are all consistent and have the same limiting distribution. These estimators are compared with the corresponding unrestricted Bayes estimators by Monte Carlo simulation.

  • PDF

Some versatile tests based on percentile tests

  • Park, Hyo-Il;Kim, Ju-Sung
    • Journal of the Korean Data and Information Science Society
    • /
    • v.21 no.2
    • /
    • pp.291-296
    • /
    • 2010
  • In this paper, we consider a versatile test based on percentile tests. The versatile test may be useful when the underlying distributions are unknown or quite different types. We consider two kinds of combining functions for the percentile statistics, the quadratic and summing forms and obtain the limiting distributions under the null hypothesis. Then we illustrate our procedure with an example. Finally we discuss some interesting features of the test as concluding remarks.

Likelihood Based Confidence Intervals for the Common Scale Parameter in the Inverse Gaussian Distributions

  • Lee, Woo-Dong;Cho, Kil-Ho;Cha, Young-Joon;Ko, Jung-Hwan
    • Journal of the Korean Data and Information Science Society
    • /
    • v.17 no.3
    • /
    • pp.963-972
    • /
    • 2006
  • This paper focuses on the likelihood based confidence intervals for two inverse gaussian distributions when the parameter of interest is common scale parameter. Confidence intervals based on signed loglikelihood ratio statistic and modified signed loglikelihood ratio statistics will be compared in small sample through an illustrative simulation study.

  • PDF

A Study on Noninformative Priors of Intraclass Correlation Coefficients in Familial Data

  • Jin, Bong-Soo;Kim, Byung-Hwee
    • Communications for Statistical Applications and Methods
    • /
    • v.12 no.2
    • /
    • pp.395-411
    • /
    • 2005
  • In this paper, we develop the Jeffreys' prior, reference prior and the the probability matching priors for the difference of intraclass correlation coefficients in familial data. e prove the sufficient condition for propriety of posterior distributions. Using marginal posterior distributions under those noninformative priors, we compare posterior quantiles and frequentist coverage probability.

Using percentage Nonconforming to evaluate Non-Normal Process Capability: Gamma Distributions (불량률의 측도로 비정규 공정능력의 평가: Gamma 분포)

  • 김홍준;김진수;송서일
    • Journal of Korean Society for Quality Management
    • /
    • v.27 no.1
    • /
    • pp.18-34
    • /
    • 1999
  • This paper is a brief review of the different procedures that are available for fitting theoretical distributions to data. The use of each technique Is illustrated by reference to a distribution system which including the Pearson, Johnson and Burr functions. These functions can be used to calculate percent out of specification. Therefore, in this paper a new method for estimating a measure of process capability for Gamma distributed variable data proposed using the percentage nonconforming. Process capability indices combines with the percentage nonconforming Information can be used to evaluate more accurately process capability.

  • PDF