Advances and Applications in Statistics
Volume 42, Issue 1, Pages 47 - 64
(September 2014)
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AGING AND CHARACTERIZATION PROPERTIES OF KTH RECORDS UNDER MEAN PAST LIFETIME MODEL
Omar M. Bdair and Raed R. Abu Awwad
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Abstract: In this work, we obtain a simplified expression for the mean past lifetime (MPL) of the shock under the condition that shock has arrived by time We investigate some monotonicity properties, aging properties and characterizations for the mean past lifetime of kth records (MPR) from a sequence of identically independent random variables with a common continuous distribution F. We prove that the underlying distribution F can be expressed as a functional relationship between the mean past lifetime of records. Examples that show some monotonicity results are also provided. |
Keywords and phrases: kth records, hazard function, mean past lifetime, characterization. |
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