
Exponential Communication Inefficiency of Demand Queries
... combinatorial allocation, without increasing the communication burden one can restrict attention to announcing a price equilibrium. We …nd that a parallel conjecture for deterministic communication fails: We demonstrate a class of valuations for which the restriction to “demand queries,” which ask a ...
... combinatorial allocation, without increasing the communication burden one can restrict attention to announcing a price equilibrium. We …nd that a parallel conjecture for deterministic communication fails: We demonstrate a class of valuations for which the restriction to “demand queries,” which ask a ...
Aalborg Universitet Channel Modelling of MU-MIMO Systems by Quaternionic Free Probability
... AEDs of sums or products of Hermitian random matrices with known eigenvalue distribution provided that these Hermitian random matrices are free. This allowed to deal with a great number of channel models in wireless communications and put the basis for the success of free probability in information ...
... AEDs of sums or products of Hermitian random matrices with known eigenvalue distribution provided that these Hermitian random matrices are free. This allowed to deal with a great number of channel models in wireless communications and put the basis for the success of free probability in information ...
A Joint Characterization of Belief Revision Rules
... rainfall or GDP. In response, he assigns the new distribution to the random variable, while retaining all probabilities conditional on the random variable (e.g., Je¤rey 1957, Shafer 1981, Diaconis and Zabell 1982, Grunwald and Halpern 2003). Je¤rey revision generalizes Bayesian revision, where the ...
... rainfall or GDP. In response, he assigns the new distribution to the random variable, while retaining all probabilities conditional on the random variable (e.g., Je¤rey 1957, Shafer 1981, Diaconis and Zabell 1982, Grunwald and Halpern 2003). Je¤rey revision generalizes Bayesian revision, where the ...
Avoiding Probabilistic Reasoning Fallacies in Legal
... [19][20][37][38][45][52][65][70][73][81][89][90][97][99][108], while discussions of fallacies in the context of reasoning about evidence can be found in [8][9][17][38][51][68][80][84]. An extensive account of fallacies affecting dozens of US cases is provided in [74] while [48] describes four furthe ...
... [19][20][37][38][45][52][65][70][73][81][89][90][97][99][108], while discussions of fallacies in the context of reasoning about evidence can be found in [8][9][17][38][51][68][80][84]. An extensive account of fallacies affecting dozens of US cases is provided in [74] while [48] describes four furthe ...
Argmax over Continuous Indices of Random Variables An Approach
... location of the best offer is well-defined when we have a deterministic point process. We construct the definition for a general probability distribution as a limiting case from the distributions determined from deterministic point processes. In this paper we will show that this limiting process has ...
... location of the best offer is well-defined when we have a deterministic point process. We construct the definition for a general probability distribution as a limiting case from the distributions determined from deterministic point processes. In this paper we will show that this limiting process has ...
A Sharp Test of the Portability of Expertise ∗ Etan A. Green
... Two sets of studies on experts, one with professional soccer players and a second with chess grandmasters, examine the portability of expertise to traditional laboratory games. Chiappori, Levitt and Groseclose (2002) and Palacios-Huerta (2003) show that in professional soccer, penalty kicks are cons ...
... Two sets of studies on experts, one with professional soccer players and a second with chess grandmasters, examine the portability of expertise to traditional laboratory games. Chiappori, Levitt and Groseclose (2002) and Palacios-Huerta (2003) show that in professional soccer, penalty kicks are cons ...
Ars Conjectandi

Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.