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- Mean-preserving_spread abstract "In probability and statistics, a mean-preserving spread (MPS) is a change from one probability distribution A to another probability distribution B, where B is formed by spreading out one or more portions of A's probability density function or probability mass function while leaving the mean (the expected value) unchanged. As such, the concept of mean-preserving spreads provides a stochastic ordering of equal-mean gambles (probability distributions) according to their degree of risk; this ordering is partial, meaning that of two equal-mean gambles, it is not necessarily true that either is a mean-preserving spread of the other. A is said to be a mean-preserving contraction of B if B is a mean-preserving spread of A.Ranking gambles by mean-preserving spreads is a special case of ranking gambles by second-order stochastic dominance – namely, the special case of equal means: If B is a mean-preserving spread of A, then A is second-order stochastically dominant over B; and the converse holds if A and B have equal means.If B is a mean-preserving spread of A, then B has a higher variance than A and the expected value of A and B are identical; but the converse is not in general true, because the variance is a complete ordering while ordering by mean-preserving spreads is only partial.".
- Mean-preserving_spread wikiPageID "27383873".
- Mean-preserving_spread wikiPageLength "4405".
- Mean-preserving_spread wikiPageOutDegree "17".
- Mean-preserving_spread wikiPageRevisionID "685880940".
- Mean-preserving_spread wikiPageWikiLink Category:Decision_theory.
- Mean-preserving_spread wikiPageWikiLink Category:Theory_of_probability_distributions.
- Mean-preserving_spread wikiPageWikiLink Contraposition.
- Mean-preserving_spread wikiPageWikiLink Cumulative_distribution_function.
- Mean-preserving_spread wikiPageWikiLink Expected_utility_hypothesis.
- Mean-preserving_spread wikiPageWikiLink Expected_value.
- Mean-preserving_spread wikiPageWikiLink Partially_ordered_set.
- Mean-preserving_spread wikiPageWikiLink Probability_and_statistics.
- Mean-preserving_spread wikiPageWikiLink Probability_density_function.
- Mean-preserving_spread wikiPageWikiLink Probability_distribution.
- Mean-preserving_spread wikiPageWikiLink Probability_mass_function.
- Mean-preserving_spread wikiPageWikiLink Random_variable.
- Mean-preserving_spread wikiPageWikiLink Risk.
- Mean-preserving_spread wikiPageWikiLink Risk_(statistics).
- Mean-preserving_spread wikiPageWikiLink Stochastic_dominance.
- Mean-preserving_spread wikiPageWikiLink Stochastic_ordering.
- Mean-preserving_spread wikiPageWikiLinkText "Mean-preserving spread".
- Mean-preserving_spread wikiPageWikiLinkText "mean-preserving contraction".
- Mean-preserving_spread wikiPageWikiLinkText "mean-preserving spread".
- Mean-preserving_spread subject Category:Decision_theory.
- Mean-preserving_spread subject Category:Theory_of_probability_distributions.
- Mean-preserving_spread hypernym Change.
- Mean-preserving_spread type Organisation.
- Mean-preserving_spread comment "In probability and statistics, a mean-preserving spread (MPS) is a change from one probability distribution A to another probability distribution B, where B is formed by spreading out one or more portions of A's probability density function or probability mass function while leaving the mean (the expected value) unchanged.".
- Mean-preserving_spread label "Mean-preserving spread".
- Mean-preserving_spread sameAs Q6803556.
- Mean-preserving_spread sameAs m.0by1c7t.
- Mean-preserving_spread sameAs Q6803556.
- Mean-preserving_spread wasDerivedFrom Mean-preserving_spread?oldid=685880940.
- Mean-preserving_spread isPrimaryTopicOf Mean-preserving_spread.