Causation and the Law: Preemption, Lawful Sufficiency, and Causal Sufficiency

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...

Probabilistic 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...

Computing Efficiency, Sufficiency, and Self-sufficiency: A Model for Sustainability?

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...

Simultaneous Causal Inference for Multiple Treatments via Sufficiency

Chapter 2. Sufficiency and Estimation

2.1 Sufficient statistics. Classically, a " statistic " is a measurable function of the observations , say f (X 1 ,. .. , X n). The concept of " statistic " differs from that of " random variable " in that a random variable is defined on a probability space, so that one probability measure is singled out, where for statistics we have in mind a family of possible probability measures, R. A. Fish...