منابع مشابه
Φ - Divergences , Sufficiency , Bayes Sufficiency , and Deficiency
The paper studies the relations between φ-divergences and fundamental concepts of decision theory such as sufficiency, Bayes sufficiency, and LeCam’s deficiency. A new and considerably simplified approach is given to the spectral representation of φ-divergences already established in Österreicher and Feldman [28] under restrictive conditions and in Liese and Vajda [22], [23] in the general form...
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Computing is an activity that is based on natural resources like any other human activity. Technological progress has made it possible to perform more and more computations with less material and energy input. This paper looks at this development through the lens of the three concepts of efficiency, sufficiency, and self-sufficiency, asking the question of whether it could lead to a state of se...
متن کاملProbabilistic Sufficiency and Algorithmic Sufficiency from the point of view of Information Theory
Given the importance of Markov chains in information theory, the definition of conditional probability for these random processes can also be defined in terms of mutual information. In this paper, the relationship between the concept of sufficiency and Markov chains from the perspective of information theory and the relationship between probabilistic sufficiency and algorithmic sufficien...
متن کاملProbability Model Type Sufficiency
We investigate the role of sufficient statistics in generalized probabilistic data mining and machine learning software frameworks. Some issues involved in the specification of a statistical model type are discussed and we show that it is beneficial to explicitly include a sufficient statistic and functions for its manipulation in the model type’s specification. Instances of such types can then...
متن کاملSufficiency in Blackwell's theorem
If one information service is more informative than the other, then any agent values it more. In fact, the opposite implication (sufficiency) is also true, and this characterization is the celebrated Blackwell’s theorem. We present here a short proof of sufficiency. Actually, we show a stronger result: it is enough to check whether the value of the service is greater than the value of the other...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1964
ISSN: 0003-4851
DOI: 10.1214/aoms/1177700372