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Useful relationship between the log-survival function and truncated moments, with applications

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Abstract

We present a new characterization technique extracted from a well known idea in statistical inference. We use the partial derivative of the logarithm of the survival function in connection with truncated moments to characterize several probability distributions. Our methods introduce a unified technique to obtain several well known results in a unified way.

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Authors and Affiliations

  1. Institute Of Statistical Studies & Research, C/O Prof. Ibrahim F. Eissa Cairo University, 5 Tharwat St., Orman, Giza, Caro University Post Office, Cairo, Egypt

    S. El-Arishy

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  1. S. El-Arishy
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El-Arishy, S. Useful relationship between the log-survival function and truncated moments, with applications. Stat Papers 36, 145–154 (1995). https://doi.org/10.1007/BF02926027

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  • DOI: https://doi.org/10.1007/BF02926027

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