Review on order statistics and record values from F α distributions

Both order statistics andrecords arise naturally in many fields of studies such as climatology,sports,science,engineering,medicine,traffic,and industry,among others. study of their properties and applications plays important roles in many areas of statistical research,for example,statistical inference,nonparametric statistics,among others. in recent years,the f α distributions have been widely studied in statistics because of their wide applicability in the modeling and analysis of life time data. an absolutely continuous positive random variable x is said to have an f α distribution if its cumulative distribution function is given by g(x) = f α (x) = [f(x)] α,α > 0,x > 0,which is the αth power of the base line distribution function f(x). many researchers and authors have developed various classes of f α distributions. it appears from the literature that not much attention has been paid to the analysis of record values and order statistics from these members of f α family of distributions,and,therefore,need further and special investigations. in this paper,some distributional properties of order statistics and record values from f α distributions are reviewed. we hope that the findings of this paper will be useful for the practitioners in various fields of studies and further enhancement of research in f α distributions,order statistics,record value theory and their applications.