Abstract
In a number of situations such as industrial quality control experiments the only observations are record-breaking data. In this paper, two sampling schemes are used to collect record data: single sample and multisample. The aim of this paper is to investigate which one of them is more efficient in the sense of Shannon information. Several general results are established and it is shown that there is a connection between some reliability properties of the parent distribution and the considered comparison criterion. A number of examples illustrating the results are given.
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Razmkhah, M., Morabbi, H. & Ahmadi, J. Comparing two sampling schemes based on entropy of record statistics. Stat Papers 53, 95–106 (2012). https://doi.org/10.1007/s00362-010-0316-7
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DOI: https://doi.org/10.1007/s00362-010-0316-7
Keywords
- Inverse sampling
- Hazard rate function
- Reversed hazard rate function
- Stochastic orders
- Shannon information