Titlebook: Ordered Random Variables: Theory and Applications; Muhammad Qaiser Shahbaz,Mohammad Ahsanullah,Bander Book 2016 Atlantis Press and the aut

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Dual Generalized Order Statistics, variables can not be studied by using the models of ordered random variables discussed earlier. The study of distributional properties of such random variables is studied by using the inverse image of Generalized Order Statistics and is popularly known as . (.).

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Characterizations of Distribution,ous methods, see for example Ahsanullah et al. (2014). In this chapter we will characterize probability distributions by various properties of ordered data. We will consider order statistics, record values and generalized order statistics to characterize the probability distributions.

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Order Statistics,est to largest, scores scored by a player in last ten innings from smallest to largest and so on. The study of order statistics needs special considerations due to their natural dependence. The study of order statistics has attracted many statistician in the past. Formerly, order statistics are defined in the following.

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Record Values,might be interested to know the new highest stock price of a product or new highest runs score in an innings of a cricket match. These are the examples where we are talking about the .. Upper Records naturally arises in daily life whenever we want to replace an already recorded maximum observation with one which exceeds that value.

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