2024/06/21 by Mohamed Kayid, Kayid, Mohamed
Earth and Planetary Sciences · Engineering · Environmental Science · #FOS: Mathematics #Geophysical Methods and Applications #Geophysical and Geoelectrical Methods #Groundwater flow and contamination studies #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.2406.15196
openalex publication_date 2024/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we examine some relative orderings of upper and lower records. It is shown that if m > n, the mth upper record ages faster than the nth upper record, where the data sets come from a sequence of independent and identically distributed observations from a continuous distribution. Sufficient conditions are also obtained to see whether the mth upper record arisen from a continuous distribution ages faster in terms of the relative hazard rate than the nth upper record arisen from another continuous distribution. It is also shown that the reversed hazard rate of the mth lower record decreases faster than the reversed hazard rate of the nth lower record, when m > n. Preservation property of the relative reversed hazard rate order at lower record values is investigated. Several examples are presented to examine the results.