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- M. E. Ghitany, B. Atieh, S. Nadarajah
- Mathematics and Computers in Simulation
- 2008

Explicit closed form expressions are derived for moments of order statistics from the chi square distribution. The expressions involve Lauricella functions of type A and type B. Some numerical tabulations are provided for selected parameter values.

- M. E. Ghitany, Dhaifalla K. Al-Mutairi, S. Nadarajah
- Mathematics and Computers in Simulation
- 2008

- John D Cook, Saralees Nadarajah
- Biometrical journal. Biometrische Zeitschrift
- 2006

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.

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)

- S. Nadarajah
- Winter Simulation Conference
- 1997

A comprehensive method for simulation of bivariate extremes is introduced and a generalisation of it to multivariate extremes is outlined.

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)

The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY | and the ratio |X/Y | are derived when X and Y are Laplace and Bessel function random variables distributed independently of each other.

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)

The distributions of the ratio X/Y are derived when (X, Y) has the elliptically symmetric Pearson-type II distribution, elliptically symmetric Pearson-type VII distribution and the elliptically symmetric Kotz-type distribution.