Browsing by Author "Lafuente, Miguel"

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    • Approximations of δ -record probabilities in i.i.d. and trend models 
      Lafuente, Miguel; Ejea, David; Gouet Bañares, Raúl; López, F. Javier; Sanz, Gerardo (Springer, 2023)
      We study the probability of occurrence of -records in a model with linear trend. While this probability has been studied in the iid case, the existence of a trend makes its analysis much more involved. Asymptotic properties ...
    • δ-Records Observations in Models with Random Trend 
      Gouet Bañares, Raúl; Lafuente, Miguel; López, F. Javier; Sanz, Gerardo (Springer, 2018)
      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 ...