Abstract
One-dimensional marginal density functions and distribution functions have been obtained in the first chapter. In the following two chapters we derive recurrence relations and inequalities for moments of g OS’s and give corresponding characterizations of probability distributions. Hence, we should have at hand some results on the existence of such moments. We state sufficient conditions which are well known in the case of o OS’s and record values (see e.g. David 1981, Sen 1959, Lin 1987). Then we give representations for the difference of moments of successive g OS’s which are used in Chapter III and we derive moments of g OS’s with respect to special distributions. In the second section we cite results on complete function sequences which are a useful tool to obtain characterization results by means of moments.
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© 1995 Springer Fachmedien Wiesbaden
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Kamps, U. (1995). Moments of Generalized Order Statistics. In: A Concept of Generalized Order Statistics. Teubner Skripten zur Mathematischen Stochastik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09196-7_3
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DOI: https://doi.org/10.1007/978-3-663-09196-7_3
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-519-02736-2
Online ISBN: 978-3-663-09196-7
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