Jungsoo Woo

Some Exponentiated Distributions

In this paper we study a number of new exponentiated distributions. The survival function, failure rate and moments of the distributions have been derived using certain special functions. The behavior of the failure rate has also been studied.

Estimation and testing of P(Y > X) in two-parameter exponential distributions

In this article, we obtain the UMVUE of the reliability function ξ=P(Y>X) and the UMVUE of ξ k =[P(Y>X)] k in the two-parameter exponential distributions with known scale parameters. We also derive the distribution of the UMVUE of ξ and further considering the tests of hypotheses regarding the reliability function ξ.

Some skew symmetric inverse reflected distributions

Skew-symmetric distributions are defined based on the reflected gamma, reflected Weibull and the reflected Pareto distributions. Expressions are derived for the probability density function, cumulative distribution functions, moments and the shape. Estimation procedures by the methods of moments and maximum likelihood and Fisher information matrices are provided. Evidence of flexibility of the distributions is shown. An application is illustrated using the Old Faithful Geyser data. Some of the attractive properties of the distributions include multimodality and polynomial tails.

Inference on reliability P(Y < X) in the levy distribution

In this paper, we consider the estimation of the parameter of the Levy distribution, the right-tail probability, and P(Y < X). We also consider a test of hypothesis.

A transformed quantile-quantile plot for normal and bimodal distributions

Abstract A graphical method, named transformed quantile-quantile (TQQ), of a quantile-quantile plot was developed for the detection of deviations from the normal distribution. It will be shown that TQQ is helpful for detecting patterns of how points depart from normality. The TQQ plots for bimodal density distributions are constructed and compared with quantile-quantile plots. The characteristics of the various kinds of representations are illustrated by a generated sample from a composite of a normal distribution.

Bayes estimators of the exponential distribution

Abstract Bayes estimators of the parameter of the standard exponential distribution are derived and compared under squared error loss and linex loss functions.

Estimations in a Skewed Double Weibull Distribution

We obtain a skewed double Weibull distribution by a double Weibull distribution, and evaluate its coefficient of skewness. And we obtain the approximate maximum likelihood estimator(AML) and moment estimator of skew parameter in the skewed double Weibull distribution, and hence compare simulated mean squared errors(MSE) of those estimators. We compare simulated MSE of two proposed reliability estimators in two independent skewed double Weibull distributions each with different skew parameters. Finally we introduce a skewed double Weibull distribution generated by a uniform kernel.

Inference on reliability P(Y < X) in a power function distribution

Abstract Inference on P(Y < X) in a power function distribution is considered.

Inference on P(Y < X) in Generalized Uniform Distributions

The paper considers estimation and testing of P(Y < X), when X and Y follow independent generalized uniform distributions with known shape parameters .

Parametric estimation of two-parameter exponential model in the presence of unidentified outliers

Parametric estimators of two parameter exponential distribution in the presence of unidentified outliers are proposed, and the means and variances of the estimators are obtained as the exact forms.