Journal
STATISTICS
Volume 48, Issue 2, Pages 421-435Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331888.2012.719518
Keywords
best unbiased conditional reconstructor; highest conditional density reconstruction interval; Frechet distribution
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Funding
- Ordered and Spatial Data Center of Excellence of Ferdowsi University of Mashhad
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In this paper, the situation in which some lower records from a proportional reversed hazard rate model (PRHRM) are lost at the beginning of the experiment is considered. The reconstruction problem of the past lower records based on observed records from a PRHRM is discussed. Several various methods are used to obtain point reconstructors. More details are given for the Frechet distribution. Three reconstruction intervals are also obtained and compared in the sense of the expected width for the case of Frechet distribution. A data set representing the annual flood loss is applied to illustrate the proposed procedure in this paper. Eventually, some concluding remarks are presented.
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