• Title/Summary/Keyword: parameter sets

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Parameter estimation of an extended inverse power Lomax distribution with Type I right censored data

  • Hassan, Amal S.;Nassr, Said G.
    • Communications for Statistical Applications and Methods
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    • v.28 no.2
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    • pp.99-118
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    • 2021
  • In this paper, we introduce an extended form of the inverse power Lomax model via Marshall-Olkin approach. We call it the Marshall-Olkin inverse power Lomax (MOIPL) distribution. The four- parameter MOIPL distribution is very flexible which contains some former and new models. Vital properties of the MOIPL distribution are affirmed. Maximum likelihood estimators and approximate confidence intervals are considered under Type I censored samples. Maximum likelihood estimates are evaluated according to simulation study. Bayesian estimators as well as Bayesian credible intervals under symmetric loss function are obtained via Markov chain Monte Carlo (MCMC) approach. Finally, the flexibility of the new model is analyzed by means of two real data sets. It is found that the MOIPL model provides closer fits than some other models based on the selected criteria.

SOLUTIONS OF SYSTEMS OF VARIATIONAL INEQUALITIES ON FIXED POINTS OF NONEXPANSIVE MAPPINGS

  • Piri, Hossein
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.621-640
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    • 2014
  • In this paper, we introduce a new approximating method for finding the common element of the set of fixed points of nonexpansive mappings and the set of solution of system variational inequalities for finite family of inverse strongly monotone mappings and strictly pseudo-contractive of Browder-Petryshyn type mappings. We show that the sequence converges strongly to a common element the above two sets under some parameter controling conditions. Our results improve and extend the results announced by many others.

CONSISTENT AND ASYMPTOTICALLY NORMAL ESTIMATORS FOR PERIODIC BILINEAR MODELS

  • Bibi, Abdelouahab;Gautier, Antony
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.889-905
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    • 2010
  • In this paper, a distribution free approach to the parameter estimation of a simple bilinear model with periodic coefficients is presented. The proposed method relies on minimum distance estimator based on the autocovariances of the squared process. Consistency and asymptotic normality of the estimator, as well as hypotheses testing, are derived. Numerical experiments on simulated data sets are presented to highlight the theoretical results.

Testing Two Exponential Means Based on the Bayesian Reference Criterion

  • Kim, Dal-Ho;Chung, Dae-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.677-687
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    • 2004
  • We consider the comparison of two one-parameter exponential distributions with the complete data as well as the type II censored data. We adapt Bayesian test procedure for nested hypothesis based on the Bayesian reference criterion. Specifically we derive the expression for the Bayesian reference criterion to solve our problem. Also we provide numerical examples using simulated data sets to illustrate our results.

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On Estimating the Parameters of an Extended Form of Logarithmic Series Distribution

  • Kumar, C. Satheesh;Riyaza, A.
    • Communications for Statistical Applications and Methods
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    • v.20 no.5
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    • pp.417-425
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    • 2013
  • We consider an extended version of a logarithmic series distribution and discuss the estimation of its parameters by the method of moments and the method of maximum likelihood. Test procedures are suggested to test the significance of the additional parameter of this distribution and all procedures are illustrated with the help of real life data sets. In addition, a simulation study is conducted to assess the performance of the estimators.

k-NN based Pattern Selection for Support Vector Classifiers

  • Shin Hyunjung;Cho Sungzoon
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.645-651
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    • 2002
  • we propose a k-nearest neighbors(k-NN) based pattern selection method. The method tries to select the patterns that are near the decision boundary and that are correctly labeled. The simulations over synthetic data sets showed promising results: (1) By converting a non-separable problem to a separable one, the search for an optimal error tolerance parameter became unnecessary. (2) SVM training time decreased by two orders of magnitude without any loss of accuracy. (3) The redundant SVM were substantially reduced.

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A Guideline for Motion-Image-Quality Improvement of LCD-TVs

  • Kurita, Taiichiro
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.1164-1167
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    • 2009
  • Motion-image-quality of LCD-TVs is discussed by dynamic spatial frequency response. Smaller temporal aperture or higher frame rate can improve dynamic response, but an increase of motion velocity easily cancels the improvement. A guideline for deciding the desirable temporal aperture and frame rate of LCD-TVs is described, under the condition that camera and display have the same parameters. Two candidates of the desirable parameter sets will be (240 or 300 Hz, 50 to 100% aperture) and (120Hz, 25 to 50% aperture), from the viewpoint of "limit of acceptance" on motion-imagequality-deterioration for critical picture materials.

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A Method in Evaluating Mechanical Design Plans With Fuzzy Theory

  • Faliang, Gao
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1163-1166
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    • 1993
  • This paper studies the evaluation of mechanical design plans through fuzzy cluster. Plans are classified into two sets, 'good' and 'bad'. The membership of a plan to the 'good' set is numerically equal to the distance to the 'bad' set. The central parameter of the 'good' set is defined as '1', and that of the 'bad' set '0'. This will greatly simplify calculations. The result of the calculating example proves the method available.

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Cutoff Values for Cook's Distance

  • Choongrak Kim
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.13-19
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    • 1996
  • Cook's distance(Cook, 1997) is one of the most widely used influence measures to assess the influence of single observations or sets of observations in the linear regression model. After computing Cook(1977) suggested guidelines based on a confidence ellipsoid for the regression parameter ${\beta}$. In this paper, we suggest cutoff values for Cook's distance cia Monte Carlo simulation, and compare them with Cook's guidelines. An example based on a real data set is given.

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Approximate solution of fuzzy quadratic Riccati differential equations

  • Tapaswini, Smita;Chakraverty, S.
    • Coupled systems mechanics
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    • v.2 no.3
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    • pp.255-269
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    • 2013
  • This paper targets to investigate the solution of fuzzy quadratic Riccati differential equations with various types of fuzzy environment using Homotopy Perturbation Method (HPM). Fuzzy convex normalized sets are used for the fuzzy parameter and variables. Obtained results are depicted in term of plots to show the efficiency of the proposed method.