TY - JOUR
T1 - A New Power Topp–Leone distribution with applications to engineering and industry data
AU - Atchadé, Mintodê Nicodème
AU - N’bouké, Melchior
AU - Djibril, Aliou Moussa
AU - Shahzadi, Shabnam
AU - Hussam, Eslam
AU - Aldallal, Ramy
AU - Alshanbari, Huda M.
AU - Gemeay, Ahmed M.
AU - El-Bagoury, Abdal Aziz H.
N1 - Publisher Copyright:
© 2023 Atchadé et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
PY - 2023/1
Y1 - 2023/1
N2 - We introduced a brand-new member of the family that is going to be referred to as the New Power Topp-Leone Generated (NPTL-G). This new member is one of a kind. Given the major functions that created this new member, important mathematical aspects are discussed in as much detail as possible. We derived some functions for the new one, included the Rényi entropy, the qf, series development, and moment weighted probabilities. Moreover, to estimate the values of the parameters of our model that were not known, we employed the maximum likelihood technique. In addition, two actual datasets from the real world were investigated in order to bring attention to the possible applications of this novel distribution. This new model performs better than three key rivals based on the measurements that were collected.
AB - We introduced a brand-new member of the family that is going to be referred to as the New Power Topp-Leone Generated (NPTL-G). This new member is one of a kind. Given the major functions that created this new member, important mathematical aspects are discussed in as much detail as possible. We derived some functions for the new one, included the Rényi entropy, the qf, series development, and moment weighted probabilities. Moreover, to estimate the values of the parameters of our model that were not known, we employed the maximum likelihood technique. In addition, two actual datasets from the real world were investigated in order to bring attention to the possible applications of this novel distribution. This new model performs better than three key rivals based on the measurements that were collected.
UR - http://www.scopus.com/inward/record.url?scp=85146484543&partnerID=8YFLogxK
U2 - 10.1371/journal.pone.0278225
DO - 10.1371/journal.pone.0278225
M3 - Article
C2 - 36649270
AN - SCOPUS:85146484543
SN - 1932-6203
VL - 18
JO - PLoS ONE
JF - PLoS ONE
IS - 1 January
M1 - e0278225
ER -