A new family of implication operators, called probabilistic implications, is introduced. The suggested implications are based on conditional copulas and make a bridge between probability theory and fuzzy logic. It is shown that some well-known fuzzy implications appear as a particular probabilistic implications. Therefore, it seems that this new family of implication operators might be a useful...

Is the value premium predictable? We study time variations of the expected value premium using a two-state Markov switching model. We find that when conditional volatilities are high, the expected excess returns of value stocks are more sensitive to aggregate economic conditions than the expected excess returns of growth stocks. As a result, the expected value premium is time varying. It spikes...

We prove additivity of the minimal conditional entropy associated with a quantum channel Φ, represented by a completely positive (CP), trace-preserving map, when the infimum of S(γ12)−S(γ1) is restricted to states of the form (I⊗Φ) ( |ψ〉〈ψ| ) . We show that this follows from multiplicativity of the completely bounded norm of Φ considered as a map from L1 → Lp for Lp spaces defined by the Schatt...

We use bounds on the distribution function of the sum of two random variables with known marginal distributions obtained by Makarov (1981) to bound the distribution function of the individual treatment effect. Although the Makarov bounds are pointwise sharp if we only consider the marginals, they can be improved by using the fact that we know the mean (and only the mean) of the treatment effect...

Since our paper constrain correlation of two random variables using information theoretical measures, we first review the related concepts. For any probability measure π on the random variables x and z, we have the following additive and subtractive relationships for various information measures, including Mutual Information (MI), Variation of Information (VI) and the Conditional Entropy (CE). ...

This paper reports a longitudinal study of the design and implementation of a Web-based groupware application. We studied the development of three versions of the application, and the preliminary discussions of the forth. We adopt a sensemaking perspective to analyze the dynamics of this process and show that improvisational action and bricolage (make do with the materials at hand) played a vit...

Conditional e-cash or conditional e-payments have been introduced by Shi et al. as the means for enabling electronic payments to be based on the outcome of a certain condition not known in advance. In this framework, a payer obtains an electronic coin and can transfer it to a payee under a certain condition. Once the outcome of the condition is known, if it was favorable to the payee, the payee...

The main goal of this paper is to describe a new semantic for conditional independence in terms of no double counting of uncertain evidence. For ease of exposition, we use probability calculus to state all results. But the results generalize easily to any calculus that fits in the framework of valuation-based systems. Thus, the results described in this paper apply also, for example, to Dempste...

We develop the “Draw My-Topics” Toolkit, which provides a fast way to incorporate social scientists’ concerns and interests into the standard topic model. Instead of using raw corpus with primitive processing as input, an algorithm based on Vector Space Model and Conditional Entropy are used to connect social scientists’ subjective want and the unsupervised topic models’ output. Space for users...

Recently, conditional logics have been developed for application to problems in default reasoning. We present a uniform framework for the development and investigation of conditional logics to represent and reason with “normality”, and demonstrate these logics to be equivalent to extensions of the modal system S4. We also show that two conditional logics, recently proposed to reason with defaul...