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2012, London Mathematical Society monographs, ISBN 9780691136059, Volume 35, xv, 479
This book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms... 
Markov processes | Statistics | Dirichlet problem | Boundary value problems
Book
2015, Probability theory and stochastic modelling, ISBN 9783319258188, Volume 76, xviii, 323
A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the "lent particle method" it is... 
Dirichlet forms | Lévy processes | Poisson processes | Distribution (Probability theory | Levy processes
Book
2013, De Gruyter studies in mathematics, ISBN 9783110302004, Volume 48, x, 284
Book
2010, Graduate studies in mathematics, ISBN 9780821849491, Volume 113., xii, 271
"Markov processes are among the most important stochastic processes for both theory and applications... 
Stochastic integrals | Markov processes
Book
Journal of the American Statistical Association, ISSN 1537-274X, 12/2006, Volume 101, Issue 476, pp. 1566 - 1581
Journal Article
Journal Article
Proceedings of the IEEE, ISSN 0018-9219, 2017, Volume 105, Issue 3, pp. 516 - 529
.... We show that a large class of neutral models with this mainland-island structure but differing local community dynamics converge in the large population limit to the hierarchical Dirichlet process... 
ecological modelling | hierarchical Dirichlet process | microbial communities | Hubbell's unified neutral theory of biodiversity | Diversity
Journal Article
Applied intelligence (Dordrecht, Netherlands), ISSN 0924-669X, 7/2018, Volume 48, Issue 7, pp. 1802 - 1812
Journal Article
Potential analysis, ISSN 1572-929X, 05/2018, Volume 51, Issue 2, pp. 147 - 164
Let α = 1/2, θ > − 1/2, and ν 0 be a probability measure on a type space S. In this paper, we investigate the stochastic dynamic model for the two-parameter Dirichlet process π α , θ , ν 0 ${\Pi }_{\alpha ,\theta ,\nu _{0}}$ . If S = ℕ... 
Geometry | Primary 60G57 | Secondary 60H30 | Potential Theory | Functional Analysis | Two-parameter Dirichlet process | Closability | Dirichlet form | Probability Theory and Stochastic Processes | Mathematics | Mosco convergence | Dynamic model | Physical Sciences | Science & Technology | Economic models | Dynamic models | Dirichlet problem | Markov analysis | Metric space | Process parameters
Journal Article
2011, 2nd rev. and ext. ed., De Gruyter studies in mathematics, ISBN 9783110218084, Volume 19, viii, 489
Book
IEEE transactions on pattern analysis and machine intelligence, ISSN 0162-8828, 02/2015, Volume 37, Issue 2, pp. 256 - 270
Journal Article
Journal of applied probability, ISSN 0021-9002, 09/2011, Volume 48, Issue 3, pp. 778 - 791
We study a family of Markov processes on P (k), the space of partitions of the natural numbers with at most k blocks... 
Research Papers | Partition | Partition process | Ewens | Paintbox process | Poisson-Dirichlet distribution | Ewens' partition | 60G09 | 60J25 | partition process
Journal Article