Ordering results for the smallest (largest) and the second smallest (second largest) order statistics of dependent and heterogeneous random variables

O Shojaee, SM Mohammadi, R Momeni - Metrika, 2024 - Springer
In reliability theory, the k th order statistic represents the lifetime of a (n-k+ 1)-out-of-n system.
In particular, the smallest (largest) order statistics denotes the lifetime of a series (parallel) …

[PDF][PDF] Usual stochastic order of α-mixtures with proportional odds model as a baseline

O Shojaee - The 9th Seminar on, 2023 - wodrdce.um.ac.ir
As a new flexible family of distributions, the α-mixture model includes many existing mixture
models as special cases. This paper is an attempt to the usual stochastic order of this family …