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Let ⪯ ˜ stand for the usual multivariate stochastic order.
Then ⪯ g and ⪯ ˜ are the same stochastic order.
It is well known that there could be different generators of the same stochastic order.
These techniques involve the study of stochastic order properties of the random variables in the process.
According to the foregoing points we propose the following stochastic order.
Based on this order relation, a generalized stochastic order has been introduced in [18].
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We provide further properties of these stochastic orders.
These stochastic orders are closed under marginalization as stated next.
Stochastic orders play a key role in many areas.
The reader is referred to [4, 5] and [6] for a rigorous introduction to stochastic orders and integral stochastic orders.
The test chosen is based on a stochastic ordering.
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