Abstract
In this paper, the probability density function and the cumulative distribution function of the rth order statistic arising from independent nonidentically distributed (INID) Lomax, exponential Lomax and exponential Pareto variables are presented. The moments of order statistics from INID Lomax, exponential lomax and exponential Pareto were derived using the technique established by Barakat and Abdelkader. Also, numerical examples are given.
Highlights
Three techniques have been established in literature to compute moments of order statistics of independent nonidentically distributed random variables
Many authors used to this technique to derive the moments of independent nonidentically distributed (INID) order statistics for continuous distributions (See, Childs and Balakrishnan (2006) and Mohie Elidin et al (2007))
Barakat and Abdelkader (2000) established the second technique to compute the moments of order statistics from nonidentically distributed weibull variables and referred to as (BAT)
Summary
Three techniques have been established in literature to compute moments of order statistics of independent nonidentically distributed random variables. Barakat and Abdelkader (2000) established the second technique to compute the moments of order statistics from nonidentically distributed weibull variables and referred to as (BAT). This technique that the cdf of the distribution can be written in the form F(x) = 1 - (x), which is satisfied in this distribution. The proof of this Theorem 1 see to Barakat and Abdelkader (2003)
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
