$$\delta $$ δ -Records Observations in Models with Random Trend

Statistical Inference for the Weibull Distribution Based on δ-Record Data

“…The latter were independently defined in Reference [9], as natural and tractable generalizations of records, which are as easily collected as records. Their probabilistic properties have been studied in References [9][10][11][12][13][14].Concerning the statistical applications of δ-records, their likelihood function for a continuous distribution was first published in Reference [10], with results on maximum likelihood estimation (MLE) for the exponential and Weibull distributions. In Section 4.3 of the above cited paper, a variant of the sequential stress-testing scheme is proposed to collect δ-records, which we briefly describe here.…”

“…The latter were independently defined in Reference [9], as natural and tractable generalizations of records, which are as easily collected as records. Their probabilistic properties have been studied in References [9][10][11][12][13][14].…”