δ-Records Observations in Models with Random Trend

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2018
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δ-Records Observations in Models with Random Trend
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In this paper we prove a Law of Large Numbers for the number of δ-records in a sequence of random variables with an underlying trend. Our results generalizes results appeared in the literature for the i.i.d. case and for records in models with random trend. Two examples to illustrate the application of our results are included.
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DOI: 10.1007/978-3-319-73848-2_20
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En: Gil, Eduardo ; Gil, Eva ; Gil, Juan ; Gil, María Ángeles (eds.) The Mathematics of the Uncertain: A Tribute to Pedro Gil. Cham: Springer, 2018. pp 209–217 ISBN 978-3-319-73847-5
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