The notion of exchangeability referring to random events is investigated by using a geometric scheme of representation of possible alternatives. When we distribute among them our sensations of probability, we point out the multilinear essence of exchangeability by means of this scheme. Since we observe a natural one-to-one correspondence between multilinear maps and linear maps, we are able to underline that linearity concept is the most meaningful mathematical concept of probability theory. Exchangeability hypothesis is maintained for mixtures of Bernoulli processes in the same way. We are the first in the world to do this kind of work and for this reason we believe that it is inevitable that our references limit themselves only to t...
This paper characterizes the aspects of exchangeability in the Shapley value. We show that, in the S...
Exchangeability is a central notion in statistics and probability theory. The assumption that an inf...
We derive representation theorems for exchangeable distributions on finite and infinite graphs using...
Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting g...
The paper investigates exchangeability in the context of probability logic. We study generalizations...
Building on the Ramsey-de Finetti idea of event exchangeability, we derive a characterization of pro...
AbstractSets of desirable gambles constitute a quite general type of uncertainty model with an inter...
In the second volume of “An introduction to Probability Theory and Its Applications”, Feller (1966) ...
Abstract Sets of desirable gambles constitute a quite general type of un-certainty model with an int...
Suppose we observe an infinite series of coin flips X 1,X 2,…, and wish to sequentially test the nul...
Predictive constructions are a powerful way of characterizing the probability laws of stochastic pro...
The general concept of exchangeability allows the more flexible modelling of most experimental setup...
AbstractThe genesis of this study is a paper of A. A. Chuprov (1916) which reveals a very early unde...
For positive q is not 1, the q-exchangeability of an infinite random word is introduced as quasi-inv...
Abstract. Consider two exchangeable sequences (Xk)k2N and ( ^ Xk)k2N with the property that Sn P n ...
This paper characterizes the aspects of exchangeability in the Shapley value. We show that, in the S...
Exchangeability is a central notion in statistics and probability theory. The assumption that an inf...
We derive representation theorems for exchangeable distributions on finite and infinite graphs using...
Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting g...
The paper investigates exchangeability in the context of probability logic. We study generalizations...
Building on the Ramsey-de Finetti idea of event exchangeability, we derive a characterization of pro...
AbstractSets of desirable gambles constitute a quite general type of uncertainty model with an inter...
In the second volume of “An introduction to Probability Theory and Its Applications”, Feller (1966) ...
Abstract Sets of desirable gambles constitute a quite general type of un-certainty model with an int...
Suppose we observe an infinite series of coin flips X 1,X 2,…, and wish to sequentially test the nul...
Predictive constructions are a powerful way of characterizing the probability laws of stochastic pro...
The general concept of exchangeability allows the more flexible modelling of most experimental setup...
AbstractThe genesis of this study is a paper of A. A. Chuprov (1916) which reveals a very early unde...
For positive q is not 1, the q-exchangeability of an infinite random word is introduced as quasi-inv...
Abstract. Consider two exchangeable sequences (Xk)k2N and ( ^ Xk)k2N with the property that Sn P n ...
This paper characterizes the aspects of exchangeability in the Shapley value. We show that, in the S...
Exchangeability is a central notion in statistics and probability theory. The assumption that an inf...
We derive representation theorems for exchangeable distributions on finite and infinite graphs using...