Abstract
In this paper we have derived the distribution of multivariate order statistics for multivariate exponential & multivariate weibull distribution. The moment expression for multivariate order statistics has also been derived.
Highlights
Let X1, X2,..., X p be a set of p random variables with density function fi xi and distribution function Fi xi
Order Statistics has been extensively studied by many authors
In this paper we have studied the multivariate order statistics for exponential and Weibull distribution
Summary
Let X1, X2,..., X p be a set of p random variables with density function fi xi and distribution function Fi xi. Suppose Y is another random variable with density function f y and distribution function F y the joint density of Y and x may be obtained by using: y, x f p y. The order statistics has been used to study the concomitants for bivariate distribution as discussed by Veena and Thomas (2008). Arnold (2009) has developed the density of multivariate order statistics of a random vector X by using the idea of concomitants. Hafeez et al (2011) discussed the bivariate order statistics for exponential distribution by using (1.3). In this paper we have studied the multivariate order statistics for exponential and Weibull distribution. The distribution of rth multivariate order statistics is derived
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