Conditions for finiteness and bounds on moments of generalized order statistics

نویسندگان

چکیده

Abstract We present necessary and sufficient conditions for the finiteness of moments a fixed order generalized statistics based on an arbitrary life baseline distribution with finite expectation. The depend relation between moment minimal parameter statistic its multiplicity. Furthermore, under these we determine sharp upper bounds expressed in scale units being respective powers mean distribution.

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ژورنال

عنوان ژورنال: Statistical papers

سال: 2023

ISSN: ['2412-110X', '0250-9822']

DOI: https://doi.org/10.1007/s00362-023-01482-5