Abstract
In this paper, relations between moments of dual generalized order statistics from an exponentiated generalized class of distributions, given by Cardeiro (2013) are studied. Some particular cases of dual generalized order statistics and examples based on it are discussed. The characterization of given distribution based on moment properties is also presented.
Highlights
The theory of ordered random variables received a tremendous attention from many researchers during the past few decades
The concept of generalized order statistics is given by Kamps (1995), which unifies the above given models of ordered random variables arranged in ascending order as special case with various choices of the parameters involved
In view of (29), we get the relation for product moment of dgos from exponentiated power function distribution whereas with = = 1, we get the relation for power function distribution
Summary
The theory of ordered random variables received a tremendous attention from many researchers during the past few decades. In real life problems sometimes, it happens that the sample is arranged in descending order for example the life length of an electric bulb arranged from highest to lowest In such situations the distributional properties of variables cannot be studied by using the models of ordered random variables, given by Kamps (1995). Order statistics and related general models of ordered random variables have played immense role in problem of deriving the recurrence relations and identities for single and product moments for some specific as well as general classes of distributions. The organization of paper is as given below: In section 2, relations between signle moment of dgos are studied and particular cases and examples based on it are presented.
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