منابع مشابه
Posteriors, conjugacy, and exponential families for completely random measures
TAMARA BRODERICK ASHIA C. WILSON and MICHAEL I. JORDAN2,3,† Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA E-mail: [email protected] Department of Statistics, University of California, Berkeley, CA, 94720, USA E-mail: [email protected]; †[email protected] Department of Electrical Engineering and Com...
متن کاملHierarchical Models, Nested Models and Completely Random Measures
Statistics has both optimistic and pessimistic faces, with the Bayesian perspective often associated with the former and the frequentist perspective with the latter, but with foundational thinkers such as Jim Berger reminding us that statistics is fundamentally a Janus-like creature with two faces. In creating one field out of two perspectives, one of the unifying ideas emphasized by Berger and...
متن کاملUnit-rate Poisson representations of completely random measures
Constructive definitions of discrete random measures, which specify a sampling procedure for the weights and atom locations of the measure, have proven to be of great value in statistics and related fields. We consider the case of completely random measures and obtain a constructive representation for completely random measures on Euclidean space. For random measures on the real line satisfying...
متن کاملCompletely random measures for modelling block-structured sparse networks
Statistical methods for network data often parameterize the edge-probability by attributing latent traits such as block structure to the vertices and assume exchangeability in the sense of the Aldous-Hoover representation theorem. These assumptions are however incompatible with traits found in real-world networks such as a power-law degree-distribution. Recently, Caron & Fox (2014) proposed the...
متن کاملCompletely random measures for modeling power laws in sparse graphs
Network data appear in a number of applications, such as online social networks and biological networks, and there is growing interest in both developing models for networks as well as studying the properties of such data. Since individual network datasets continue to grow in size, it is necessary to develop models that accurately represent the real-life scaling properties of networks. One beha...
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: Pacific Journal of Mathematics
سال: 1967
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1967.21.59