Eva Riccomagno – författare
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3 produkter
3 produkter
1 801 kr
Skickas inom 7-10 vardagar
This up-to-date account of algebraic statistics and information geometry explores the emerging connections between the two disciplines, demonstrating how they can be used in design of experiments and how they benefit our understanding of statistical models, in particular, exponential models. This book presents a new way of approaching classical statistical problems and raises scientific questions that would never have been considered without the interaction of these two disciplines. Beginning with a brief introduction to each area, using simple illustrative examples, the book then proceeds with a collection of reviews and some new results written by leading researchers in their respective fields. Part III dwells in both classical and quantum information geometry, containing surveys of key results and new material. Finally, Part IV provides examples of the interplay between algebraic statistics and information geometry. Computer code and proofs are also available online, where key examples are developed in further detail.
2 608 kr
Skickas inom 10-15 vardagar
Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics.It begins with an introduction to Gröbner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability and two level factorial designs. The work paves the way, in the last two chapters, for the application of computer algebra to discrete probability and statistical modelling through the important concept of an algebraic statistical model.As the first book on the subject, Algebraic Statistics presents many opportunities for spin-off research and applications and should become a landmark work welcomed by both the statistical community and its relatives in mathematics and computer science.
Formal Power Series and Stochastic Processes
Noncommutative Formal Power Series and Chaotic Representation of Stochastic Processes
Inbunden, Engelska, 2024
1 043 kr
Tillfälligt slut
This volume describes an algebraic aspect of stochastic processes. It is based on the link between noncommutative formal power series and the chaotic representation of stochastic processes. Volterra series expansion and formal power series are connected in the notion of causal functional for deterministic inputs. Here, the description of the algebra of the space on one-dimensional Ito processes is at the core of the monograph. Ito processes are characterised as classical iterated integral series. An extension to the multi-dimensional case is considered. The investigation of similar algebraic aspects of Levy processes is based on their chaotic representation. Classical arguments are employed throughout. A major application of the theory is the solution by series of differential equations.