Corresoonding Author: Suja M. Aboukhamseen Department of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait Email: [email protected] Abstract: In this study, we have considered the proportional hazard version of the inverse Weibull distribution. It has been shown that the density and hazard rate functions are unimodal and the mean...

Clustered binary data with a large number of covariates have become increasingly more common in many scientific disciplines. This paper develops an asymptotic theory for generalized estimating equations (GEE) analysis of clustered binary data when the number of covariates grows to infinity with the number of clusters. In this “large n, diverging p” framework, we provide appropriate regularity c...

This article proposes the Bayes estimation of parameter and reliability function for xgamma distribution in presence type-I hybrid censored observations. The estimate has been obtained by assuming informative non-informative priors using general entropy loss function. Obviously, censoring adds difficulties procedure; hence estimators computed with observation under mentioned prior often do not ...

We study methods for constructing confidence intervals, and confidence bands, for estimators of receiver operating characteristics. Particular emphasis is placed on the way in which smoothing should be implemented, when estimating either the characteristic itself or its variance. We show that substantial undersmoothing is necessary if coverage properties are not to be impaired. A theoretical an...

We study asymptotic properties of the nonparametric maximum likelihood estimator (NPMLE) of a distribution function based on partly interval-censored data in which the exact values of some failure times are observed in addition to interval-censored observations. It is shown that the NPMLE converges weakly to a mean zero Gaussian process whose covariance function is determined by a Fredholm inte...

several practical problems of hypotheses testing can be under a general linear model analysis of variance which would be examined. in analysis of variance, when the response random variable y , has linear relationship with several random variables x, another important model as analysis of covariance can be used. in this paper, assuming that y is fuzzy and using dlr metric, a method for testing ...

Large sample confidence intervals often have the form Dn ± z1−α/2 SE(Dn) whereDn is an estimator of the parameter and P (Z ≤ zα) = α when Z has a normal N(0,1) distribution. Replacing z1−α/2 by tp,1−α/2 can be viewed as multiplying z1−α/2 SE(Dn) by a finite sample correction factor tp,1−α/2/z1−α/2 in order to improve the performance of the interval for small sample sizes. This technique is used...

The problem of interval estimation of the stress–strength reliability involving two independent Weibull distributions is considered. An interval estimation procedure based on the generalized variable (GV) approach is given when the shape parameters are unknown and arbitrary. The coverage probabilities of the GV approach are evaluated by Monte Carlo simulation. Simulation studies show that the p...