An Extension of the Fréchet Distribution and Applications

Gómez, Yolanda M.; Barranco-Chamorro, Inmaculada; Castillo, Jaime S.; Gómez, Héctor W.

doi:10.3390/axioms13040253

Cited by 1 publication

(1 citation statement)

References 41 publications

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“…The Fréchet distribution has attracted the attention of a large number of authors such as Castillo et al [28], Alotaibi et al [29], Phaphan et al [30] and Kanwal and Abbas [31]. For the details of this model, one can refer to Gómez et al [32]. Due to the advantages of ALT and RSS technique and the potential theoretical and practical applications of the Fréchet distribution, this paper pursues the inference problem of the constant-stress model from the Fréchet distribution.…”

Section: Introductionmentioning

confidence: 99%

Inference of Constant-Stress Model of Fréchet Distribution under a Maximum Ranked Set Sampling with Unequal Samples

Liu,

Wang,

Tripathi

et al. 2024

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This paper explores the inference for a constant-stress accelerated life test under a ranked set sampling scenario. When the lifetime of products follows the Fréchet distribution, and the failure times are collected under a maximum ranked set sampling with unequal samples, classical and Bayesian approaches are proposed, respectively. Maximum likelihood estimators along with the existence and uniqueness of model parameters are established, and the corresponding asymptotic confidence intervals are constructed based on asymptotic theory. Under squared error loss, Bayesian estimation and highest posterior density confidence intervals are provided, and an associated Monte-Carlo sampling algorithm is proposed for complex posterior computation. Finally, extensive simulation studies are conducted to demonstrate the performance of different methods, and a real-data example is also presented for applications.

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