August 11, 2025Open Access

Tsallis Entropy in Consecutive r-out-of-n:G Systems: Bounds, Characterization, and Testing for Exponentiality

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This research demonstrates new bounds for tsallis entropy in consecutive r-out-of-n:G systems, indicating its importance in statistical inference.

Tsallis entropy serves as a generalized measure of uncertainty in reliability analysis of consecutive r-out-of-n:G systems, offering new insights.
New analytical expressions and bounds for tsallis entropy are established under various lifetime distributions, emphasizing the connection with classical entropies.
Monte Carlo simulations evaluate the performance of a nonparametric estimator for tsallis entropy, demonstrating its effectiveness in reliability characterization.
An entropy-based test for exponentiality is developed, with findings supporting the use of tsallis entropy despite its limitations, like non-positivity.

Alqefari et al. (2025) studied this question.

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This research demonstrates new bounds for tsallis entropy in consecutive r-out-of-n:G systems, indicating its importance in statistical inference.