On the median of a finite mixture

Abstract

In this paper,a general iteration scheme is developed to compute the median of a finite mixture of k components of a particular form that is useful in life testing studies and other areas as well.

Tables for the computation of the median of a finite mixute of two components are produced when the components are of the forms of the WeibuU, including the exponential and Rayleigh, compound Weibu(three-parameter Burr type XII), including the compound exponential and compound Rayleigh and Pareto, beta and Gompertz distributions.

Keywords:

• Median
• finite mixture
• distribution functions
• life testing

^∗Current address: Department of Statistics, King Abdulaziz University, P.O. Box (9028), Jeddah, Saudi Arabia.

^∗Current address: Department of Statistics, King Abdulaziz University, P.O. Box (9028), Jeddah, Saudi Arabia.

Notes

^∗Current address: Department of Statistics, King Abdulaziz University, P.O. Box (9028), Jeddah, Saudi Arabia.