Hilbert space methods in probability and statistical inference
著者
書誌事項
Hilbert space methods in probability and statistical inference
(Wiley series in probability and mathematical statistics, . Probability and mathematical statistics)
Wiley, c1994
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注記
"A Wiley-Interscience publication"
Includes bibliographical references (p. 235-244) and index
内容説明・目次
内容説明
Explains how Hilbert space techniques cross the boundaries into the foundations of probability and statistics. Focuses on the theory of martingales stochastic integration, interpolation and density estimation. Includes a copious amount of problems and examples.
目次
Hilbert Spaces.
Probability Theory.
Estimating Functions.
Orthogonality and Nuisance Parameters.
Martingale Estimating Functions and Projected Likelihood.
Stochastic Integration and Product Integrals.
Estimating Functions and the Product Integral Likelihood forContinuous Time Stochastic Processes.
Hilbert Spaces and Spline Density Estimation.
Bibliography.
Index.
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