Weighted Mean Inactivity Time Function with Applications

We consider an extension of the mean inactivity time based on a non-negative weight function. show various properties new notion, and relate it to functions interest in reliability theory information measures, such as dynamic cumulative entropy, past varentropy, weighted entropy. Moreover, comparison times, we introduce study stochastic order compare with other suitable orders. also discuss some results about variance transformed random variables generalized Then, investigate certain connections location-independent riskier order. Finally, pinpoint several characterizations preservation under shock models, maxima, notions renewal theory.