Log-concavity for Bernstein-type operators using stochastic orders

On a new stochastic model for cascading failures

“…In applied probability, stochastic orders formalize the concept that one random variable is bigger than another (see [18]) and they have crucial roles in various applications (see e.g. [3], [4], [9], [10], [14], [15], and [16]). Thus, to model the shortened residual lifetimes of the remaining components in a system subject to cascading failures, the concept of stochastic order can be employed.…”