Record values of the ratio of Rayleigh random variables

The rayleigh distribution plays a pivotal role in the study of records because of its wide applicability in the modeling and analysis of life time data in these fields. in this paper,the distribution of the record values of the ratio of two independently distributed rayleigh random variables has been investigated. the associated cdf,pdf,moment,hazard function,shannon entropy,etc.,have been derived. to describe the possible shapes of the associated pdf and entropy,the respective plots are provided. the percentage points associated with the cdf of the ratio have been tabulated. we hope that the findings of this paper will be a useful reference for the practitioners in various fields of studies and further enhancement of research in record value theory and its applications. © 2011 pakistan journal of statistics.