The exponential distribution is widely used in reliability and delay-time analysis owing to its mathematical simplicity and analytical tractability. However, its constant failure rate assumption may be restrictive for systems characterized by heterogeneous failure mechanisms and unobserved variability. To address this...
Akhila Ponnarassery, Hassan S. Bakouch, Ahood Alazwari et al.· Symmetry· 0 citations
Bounded continuous data arise in many areas of applied probability and statistics, particularly when the underlying variable is restricted to a finite interval and the density is expected to vanish at the endpoints. This paper studies a parsimonious fixed-shape submodel of the Kummer–beta-G family, referred to as the a...
S. Aldossari, Hugo S. Salinas, Hassan S. Bakouch et al.· Mathematics· 0 citations
The manuscript proposes a novel bounded proportional autoregressive (PAR) process based on the quasi-Lindley half-logistic unit (QHU) distribution, termed the QHU-PAR(1) process. Fundamental probabilistic properties of the process are established, including its Markov structure, moments, and stationarity conditions. A...
Vladica S. Stojanović, Hassan S. Bakouch, Snežana Stojičić et al.· Symmetry· 0 citations
The results indicate that the proposed ZOTMPo–INAR(1) model provides an effective framework for modeling overdispersed count time series with a modified low-count structure.
Manik Awale, Shrirang Pund, Hassan S. Bakouch et al.· Entropy· 0 citations
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