000 02899nam a22004695i 4500
001 978-3-642-25969-2
003 DE-He213
005 20140220082845.0
007 cr nn 008mamaa
008 130125s2013 gw | s |||| 0|eng d
020 _a9783642259692
_9978-3-642-25969-2
024 7 _a10.1007/978-3-642-25969-2
_2doi
050 4 _aQA276-280
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.5
_223
100 1 _aFuchs, Christiane.
_eauthor.
245 1 0 _aInference for Diffusion Processes
_h[electronic resource] :
_bWith Applications in Life Sciences /
_cby Christiane Fuchs.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXIX, 430 p. 93 illus., 49 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction -- Stochastic Modelling in Life Sciences -- Stochastic Differential Equations and Diffusions in a Nutshell -- Approximation of Markov Jump Processes by Diffusions -- Diffusion Models in Life Sciences -- Parametric Inference for Discretely-observed Diffusions -- Bayesian Inference for Diffusions with Low-frequency Observations -- Application I: Spread of Influenza -- Application II: Analysis of Molecular Binding -- Conclusion and Outlook -- Benchmark Models -- Miscellaneous -- Supplementary Material for Application I -- Supplementary Material for Application II -- Notation -- References.
520 _aDiffusion processes are a promising instrument for realistically modelling the time-continuous evolution of phenomena not only in the natural sciences but also in finance and economics. Their mathematical theory, however, is challenging, and hence diffusion modelling is often carried out incorrectly, and the according statistical inference is considered almost exclusively by theoreticians. This book explains both topics in an illustrative way which also addresses practitioners. It provides a complete overview of the current state of research and presents important, novel insights. The theory is demonstrated using real data applications.
650 0 _aStatistics.
650 0 _aStatistical methods.
650 0 _aMathematical statistics.
650 0 _aEconomics
_xStatistics.
650 1 4 _aStatistics.
650 2 4 _aStatistical Theory and Methods.
650 2 4 _aStatistics for Life Sciences, Medicine, Health Sciences.
650 2 4 _aStatistics for Business/Economics/Mathematical Finance/Insurance.
650 2 4 _aBiostatistics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642259685
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-25969-2
912 _aZDB-2-SMA
999 _c96817
_d96817