Stochastic dominance is a partial order between random variables. It is a form of stochastic ordering. The concept arises in decision theory and decision analysis in situations where one gamble (a probability distribution over possible outcomes, also known as prospects) can be ranked as superior to another gamble for a broad class of decision-makers. It is based on shared preferences regarding sets of possible outcomes and their associated probabilities. Only limited knowledge of preferences is required for determining dominance. Risk aversion is a factor only in second order stochastic dominance.
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| - Dominanza stocastica (it)
- Stochastic dominance (en)
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| - La dominanza stocastica è una forma di . Il termine è utilizzato nella teoria delle decisioni per riferirsi a situazioni in cui una lotteria, cioè una determinata distribuzione di probabilità sugli esiti (outcome), può essere considerata superiore ad un'altra. La nozione di dominanza stocastica è basata sul sistema di riguardo ai possibili esiti e sul grado di avversione al rischio collegato a tali preferenze. Si distinguono solitamente una dominanza stocastica di primo e di secondo ordine. (it)
- Stochastic dominance is a partial order between random variables. It is a form of stochastic ordering. The concept arises in decision theory and decision analysis in situations where one gamble (a probability distribution over possible outcomes, also known as prospects) can be ranked as superior to another gamble for a broad class of decision-makers. It is based on shared preferences regarding sets of possible outcomes and their associated probabilities. Only limited knowledge of preferences is required for determining dominance. Risk aversion is a factor only in second order stochastic dominance. (en)
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| - Stochastic dominance is a partial order between random variables. It is a form of stochastic ordering. The concept arises in decision theory and decision analysis in situations where one gamble (a probability distribution over possible outcomes, also known as prospects) can be ranked as superior to another gamble for a broad class of decision-makers. It is based on shared preferences regarding sets of possible outcomes and their associated probabilities. Only limited knowledge of preferences is required for determining dominance. Risk aversion is a factor only in second order stochastic dominance. Stochastic dominance does not give a total order, but rather only a partial order: for some pairs of gambles, neither one stochastically dominates the other, since different members of the broad class of decision-makers will differ regarding which gamble is preferable without them generally being considered to be equally attractive. (en)
- La dominanza stocastica è una forma di . Il termine è utilizzato nella teoria delle decisioni per riferirsi a situazioni in cui una lotteria, cioè una determinata distribuzione di probabilità sugli esiti (outcome), può essere considerata superiore ad un'altra. La nozione di dominanza stocastica è basata sul sistema di riguardo ai possibili esiti e sul grado di avversione al rischio collegato a tali preferenze. Si distinguono solitamente una dominanza stocastica di primo e di secondo ordine. (it)
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