characteristic function


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characteristic function

n
1. (Mathematics) maths a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers
2. (Statistics) statistics a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed
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Since we consider a fixed set of players, by a game (N, v), we will mean just a characteristic function v.
For any characteristic function, Shapley (1953) showed that there is a unique reward vector.
That is if X follows ETL(Q) distribution with characteristic function (2.
The maximum sustainable claims (1) the players can make based upon the characteristic function values if the corresponding 2-person coalition forms is given by the solution to the system of equations W x = w.
subcoalitions influence but cannot block; power of all non-dummy agents) * Allocation rule: Shapley-value (Properties: PE, balanced contributions) * If characteristic function convex, Shapley-Value inside core
i] are the same, we should compare the corresponding characteristic functions.
15), by a well-known method (see, for example, [3]), one can obtain the following properties of the characteristic function [[DELTA].
With this modelling, the characteristic function of the random variable [X.
T] is said to have an elliptical distribution with parameters [mu](n x 1) and [SIGMA](n x n ) if its characteristic function can be written as
This characteristic function is sensitive to change of frequency in contrast to others such as envelope of the signal, which indicates only change in amplitude of signal.
Transitions are formalized as relations, that is, as sets of tuples of predecessor and successor states or, alternatively, as the characteristic function of such sets, Boolean formulas using variables A, B, C for the old situation and A', B', C' for the new situation.
22]) all the roots of the networks characteristic function F(s) must fall on the imaginary axes.

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