TY - JOUR
T1 - Current Record Range of Laplace Distributed Data with Application on Saudi Arabia Industrial Data
AU - Aldallal, Ramy Abdelhamid
N1 - Publisher Copyright:
© 2025 NSP Natural Sciences Publishing Cor.
PY - 2025/9/1
Y1 - 2025/9/1
N2 - In this study, we investigated the current record which is a method of selecting upper and lower records simultaneously and then subtracting them to calculate the current record range. The cumulative distribution functions of the current record range from any distribution will be introduced along with the probability and cumulative distribution functions for such records when the data are Laplace distributed. In addition, closed forms of the moments of the current record range were found along with a recurrence form for it. Real Laplace-distributed data were used to show the effectiveness of the new results, along with a conclusion section.
AB - In this study, we investigated the current record which is a method of selecting upper and lower records simultaneously and then subtracting them to calculate the current record range. The cumulative distribution functions of the current record range from any distribution will be introduced along with the probability and cumulative distribution functions for such records when the data are Laplace distributed. In addition, closed forms of the moments of the current record range were found along with a recurrence form for it. Real Laplace-distributed data were used to show the effectiveness of the new results, along with a conclusion section.
KW - Current record range
KW - Industrial data
KW - Laplace distribution
KW - Moments
KW - Recurrence relations
UR - https://www.scopus.com/pages/publications/105017451645
U2 - 10.18576/jsap/140504
DO - 10.18576/jsap/140504
M3 - Article
AN - SCOPUS:105017451645
SN - 2090-8423
VL - 14
SP - 723
EP - 729
JO - Journal of Statistics Applications and Probability
JF - Journal of Statistics Applications and Probability
IS - 5
ER -