S. Nadarajah

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The recent paper by Shao et al (2004) claims to have introduced a new model for frequency analysis referred to as the extended Burr XII distribution. The cumulative distribution function (cdf) and the probability density function (pdf) of this new distribution are specified as: { } { }      λ − − λ − − = c k c x x k x F) / (exp 1) / (1 1) (/ 1 0 if 0(More)
We examine stochastic inequality probabilities of the form P (X > Y) and P (X > max (Y, Z)) where X, Y, and Z are random variables with beta, gamma, or inverse gamma distributions. We discuss the applications of such inequality probabilities to adaptively randomized clinical trials as well as methods for calculating their values.
In the area of stress-strength models, there has been a large amount of work as regards estimation of the reliability R = Pr(X < Y). The algebraic form for R = Pr(X < Y) has been worked out for the vast majority of the well-known distributions when X and Y are independent random variables belonging to the same univariate family. In this paper, we consider(More)
In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X < Y). The algebraic form for R = Pr(X < Y) has been worked out for the vast majority of the well-known distributions when X and Y are independent random variables belonging to the same univariate family. In this paper, we consider(More)
Compartmental analysis is used to model dynamic biological systems and widely applied to study the kinetics of drugs in the body. We used compartmental mixed-effects modeling, which quantifies the betweenand within-subject variability, to analyze population data based on a pharmacokinetic model where predictions were obtained from a solution of a system of(More)