Operator means of probability measures
نویسندگان
چکیده
منابع مشابه
Distributional properties of means of random probability measures
The present paper provides a review of the results concerning distributional properties of means of random probability measures. Our interest in this topic has originated from inferential problems in Bayesian Nonparametrics. Nonetheless, it is worth noting that these random quantities play an important role in seemingly unrelated areas of research. In fact, there is a wealth of contributions bo...
متن کاملStochastic algorithms for computing means of probability measures
Consider a probability measure μ supported by a regular geodesic ball in a manifold. For any p ≥ 1 we define a stochastic algorithm which converges almost surely to the p-mean ep of μ. Assuming furthermore that the functional to minimize is regular around ep, we prove that a natural renormalization of the inhomogeneous Markov chain converges in law into an inhomogeneous diffusion process. We gi...
متن کاملConstructing Operator Valued Probability Measures in Phase Space
Probability measures (quasi probability mass), given in the form of integrals of Wigner function over areas of the underlying phase space, give rise to operator valued probability measures (OVM). General construction methods of OVMs, are investigated in terms of geometric positive trace increasing maps (PTI), for general 1D domains, as well as 2D shapes e.g. circles, disks. Spectral properties ...
متن کاملOperator Probability Theory
This article presents an overview of some topics in operator probability theory. We do not strive for generality and only simple methods are employed. To give the reader a flavor of the subject we concentrate on the two most important topics, the law of large numbers and the central limit theorem.
متن کاملA Quantum Probability-theoretic account of human judgment using Positive-Operator-Valued Measures
People make logically inconsistent probability judgments. The “Linda” problem is a well-known example, which often elicits a conjunction/disjunction fallacy: probability of constituent event A (B) judged more/less likely than their conjunction/disjunction. The Quantum Judgment model (QJM, Busemeyer et al 2011) explains such errors, which are not explainable within classical probability theory. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2020
ISSN: 0001-8708
DOI: 10.1016/j.aim.2020.107038