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Records with confirmation
Institution:1. Department of Probability and Statistics, St. Petersburg State University, University Prospect 28, St. Petersburg, 198504, Russia;2. Immanuel Kant Baltic Federal University, A.Nevskogo 14, Kaliningrad, 236041, Russia
Abstract:In the present paper, the concept of records with confirmation is proposed. This new concept implies that such records cannot be contaminated with sample outliers. On determining records with confirmation, we discuss their distributional and limit properties. A test based on records with confirmation is provided in our work. We also present simulation techniques for generating record values with confirmation.
Keywords:Records  Records with confirmation  Asymptotic properties  Tests based on records  Generation of record values with confirmation
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