![]() ![]() It is the left over "information space" that was not utilized to convey information, which reduces the effectiveness of the price signal. The Theil index measures what is called redundancy in information theory. If the Theil index is used with x=population/species, it is a measure of inequality of population among a set of species, or "bio-isolation" as opposed to "wealth isolation". It can be viewed as a measure of redundancy, lack of diversity, isolation, segregation, inequality, non-randomness, and compressibility. It is a special case of the generalized entropy index. The Theil T index is defined as T T = T α = 1 = 1 N ∑ i = 1 N x i μ ln ( x i μ ) is a measure of biodiversity and is called the Shannon index. The Theil index TT is the same as redundancy in information theory which is the maximum possible entropy of the data minus the observed entropy. Lea candidate devra tre obligatoirement titulaire dun Master 2 en. ![]() For example, if the characteristic is income, then x i is the income of agent i. Search Technician jobs in Le Theil, Orne, Lower Normandy with company ratings. Henri Theil himself said (1967): "The (Theil) index can be interpreted as the expected information content of the indirect message which transforms the population shares as prior probabilities into the income shares as posterior probabilities." Īmartya Sen noted, "But the fact remains that the Theil index is an arbitrary formula, and the average of the logarithms of the reciprocals of income shares weighted by income is not a measure that is exactly overflowing with intuitive sense." Formula įor a population of N "agents" each with characteristic x, the situation may be represented by the list x i ( i = 1., N) where x i is the characteristic of agent i. The prop.table command expects a matrix or an array object not a. Bridgetown Holdings Ltd. It was proposed by a Dutch econometrician Henri Theil (1924-2000) at the Erasmus University Rotterdam. In order to measure Theils H, one has to first calculate a measure of diversity for. The Theil index T T is the same as redundancy in information theory which is the maximum possible entropy of the data minus the observed entropy. Then the forecast package is returning a statistic based on. Suppose the forecasts are stored in the vector f and the actuals are stored in the vector a, each of length n. The Theil index is a statistic primarily used to measure economic inequality and other economic phenomena, though it has also been used to measure racial segregation. Unfortunately, there are several statistics known as 'Theils U', partly because Theil himself used the same notation for different statistics in different papers. ![]()
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