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Philosophy --- filosofie --- existentialisme
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Stochastic processes --- AA / International- internationaal --- 303.6 --- 303.4 --- Raming : theorie (wiskundige statistiek). Bayesian analysis and inference. --- Statistische verdeling (wiskundige statistiek). Asymptotic theory. Density functions. --- Stochastic approximation. --- Stochastic approximation --- Statistische verdeling (wiskundige statistiek). Asymptotic theory. Density functions --- Raming : theorie (wiskundige statistiek). Bayesian analysis and inference --- Approximation theory
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This book presents recently developed statistical methods and theory required for the application of the tools of functional data analysis to problems arising in geosciences, finance, economics and biology. It is concerned with inference based on second order statistics, especially those related to the functional principal component analysis. While it covers inference for independent and identically distributed functional data, its distinguishing feature is an in depth coverage of dependent functional data structures, including functional time series and spatially indexed functions. Specific inferential problems studied include two sample inference, change point analysis, tests for dependence in data and model residuals and functional prediction. All procedures are described algorithmically, illustrated on simulated and real data sets, and supported by a complete asymptotic theory. The book can be read at two levels. Readers interested primarily in methodology will find detailed descriptions of the methods and examples of their application. Researchers interested also in mathematical foundations will find carefully developed theory. The organization of the chapters makes it easy for the reader to choose an appropriate focus. The book introduces the requisite, and frequently used, Hilbert space formalism in a systematic manner. This will be useful to graduate or advanced undergraduate students seeking a self-contained introduction to the subject. Advanced researchers will find novel asymptotic arguments.
Functional analysis. --- Mathematical statistics. --- Multivariate analysis. --- Functional analysis --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Calculus --- Multivariate distributions --- Multivariate statistical analysis --- Statistical analysis, Multivariate --- Statistics. --- Statistical Theory and Methods. --- Statistics, general. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Analysis of variance --- Mathematical statistics --- Matrices --- Statistics for Business, Management, Economics, Finance, Insurance. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistics .
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Statistical science --- Mathematical statistics --- Business economics --- statistiek --- econometrie --- statistisch onderzoek
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Statistical science --- Mathematical statistics --- Biomathematics. Biometry. Biostatistics --- biomathematica --- biostatistiek --- statistiek --- biometrie
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Mathematical statistics --- 519.224 --- Distribution theory. Asymptotic theory. Characterization and structure theory --- Asymptotic distribution (Probability theory) --- Failure time data analysis. --- Reliability (Engineering) --- Statistical methods. --- Asymptotic distribution (Probability theory). --- 519.224 Distribution theory. Asymptotic theory. Characterization and structure theory --- Failure time data analysis --- Distribution asymptotique (Théorie des probabilités) --- Temps entre défaillances, Analyse des --- Fiabilité --- Statistical methods --- Méthodes statistiques
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This book presents recently developed statistical methods and theory required for the application of the tools of functional data analysis to problems arising in geosciences, finance, economics and biology. It is concerned with inference based on second order statistics, especially those related to the functional principal component analysis. While it covers inference for independent and identically distributed functional data, its distinguishing feature is an in depth coverage of dependent functional data structures, including functional time series and spatially indexed functions. Specific inferential problems studied include two sample inference, change point analysis, tests for dependence in data and model residuals and functional prediction. All procedures are described algorithmically, illustrated on simulated and real data sets, and supported by a complete asymptotic theory. The book can be read at two levels. Readers interested primarily in methodology will find detailed descriptions of the methods and examples of their application. Researchers interested also in mathematical foundations will find carefully developed theory. The organization of the chapters makes it easy for the reader to choose an appropriate focus. The book introduces the requisite, and frequently used, Hilbert space formalism in a systematic manner. This will be useful to graduate or advanced undergraduate students seeking a self-contained introduction to the subject. Advanced researchers will find novel asymptotic arguments.
Statistical science --- Mathematical statistics --- Business economics --- statistiek --- econometrie --- statistisch onderzoek --- Functional analysis --- Analyse fonctionnelle --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B
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