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Single-peaked preferences are a class of preference relations. A group has single-peaked preferences over a set of outcomes if the outcomes can be ordered along a line such that: Each agent has a "best outcome" in the set, and; For each agent, outcomes that are further from his or her best outcome are preferred less.
In statistics, a unimodal probability distribution or unimodal distribution is a probability distribution which has a single peak. The term "mode" in this context refers to any peak of the distribution, not just to the strict definition of mode which is usual in statistics. If there is a single mode, the distribution function is called "unimodal".
The Cauchy distribution, an example of a distribution which does not have an expected value or a variance. In physics it is usually called a Lorentzian profile, and is associated with many processes, including resonance energy distribution, impact and natural spectral line broadening and quadratic stark line broadening.
A rule is anonymous and strategyproof for all single-peaked preferences if it is equivalent to a median rule with at most n+1 phantoms. A rule is strategyproof for all single-peaked preferences iff it is equivalent to a minmax rule of the following form. There are 2 n parameters, b S for any subset S of voters.
More formally, Black's theorem assumes preferences are single-peaked: a voter's happiness with a candidate goes up and then down as the candidate moves along some spectrum. For example, in a group of friends choosing a volume setting for music, each friend would likely have their own ideal volume; as the volume gets progressively too loud or ...
Example distribution with positive skewness. These data are from experiments on wheat grass growth. In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined.
Whenever the distribution of voters has a unique median in all directions, and voters rank candidates in order of proximity, the median voter theorem applies: the candidate closest to the median will have a majority preference over all his or her rivals, and will be elected by any voting method satisfying the median voter property in one dimension.
Android phones, like this Nexus S running Replicant, allow installation of apps from the Play Store, F-Droid store or directly via APK files.. This is a list of notable applications (apps) that run on the Android platform which meet guidelines for free software and open-source software.