Statistical inference from stochastic processes : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held August 9-15, 1987, with support from the National Science Foundation and the Army Research Office
著者
書誌事項
Statistical inference from stochastic processes : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held August 9-15, 1987, with support from the National Science Foundation and the Army Research Office
（Contemporary mathematics, v. 80）
American Mathematical Society, c1988
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注記
"AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Statistical Inference from Stochastic Processes was held at Cornell University, Ithaca, New York" -- T.p. verso
内容説明・目次
内容説明
This volume comprises the proceedings of the AMS-IMS-SIAM Summer Research Conference on Statistical Inference from Stochastic Processes, held at Cornell University in August 1987. The conference brought together probabilists and statisticians who have developed important areas of application and made major contributions to the foundations of the subject. Statistical inference from stochastic processes has been important in a number of areas. For example, in applied probability, major advances have been made in recent years in stochastic models arising in science and engineering. However, the emphasis has been on the formulation and analysis of models rather than on the statistical methodology for hypothesis testing and inference. For these models to be of practical use, procedures for their statistical analysis are essential. In the area of probability models, initial work in inference focused on Markov chains, but many models have given rise to non-Markovian and point processes.In recent years, research in statistical inference from such processes not only solved specific problems but also resulted in major contributions to the conceptual framework of the subject as well as the associated techniques. The objective of the conference was to provide the opportunity to survey and evaluate the current state of the art in this area and to discuss future directions. The papers presented covered five topics within the broad domain of inference from stochastic processes: foundations, counting processes and survival analysis, likelihood and its ramifications, applications to statistics and probability models, and processes in economics. Requiring a graduate level background in probability and statistical inference, this book will provide students and researchers with a familiarity with the foundations of inference from stochastic processes and a knowledge of the current developments in this area.
目次
Partially specified semimartingale experiments by P. E. Greenwood Censoring, truncation, and filtering in statistical models based on counting processes by P. K. Andersen, O. Borgan, R. D. Gill, and N. Keiding Right censoring and the Kaplan-Meier and Nelson-Aalen estimators. Summary of results by M. Jacobsen Partial likelihood: applications, ramifications, generalizations by D. Oakes Multiple regression with integrated time series by P. C. B. Phillips Analysis of grouped duration data by N. M. Kiefer Asymptotic theory for weighted least squares estimators in Aalen's additive risk model by I. W. McKeague Some applications in statistics of semimartingale weak convergence theorems by M. J. Phelan Censoring, martingales and the Cox model by Y. Ritov and J. A. Wellner Composite likelihood methods by B. G. Lindsay Fixed sample and asymptotic optimality for classes of estimating functions by C. C. Heyde Statistical inference from sampled data for stochastic processes by B. L. S. P. Rao Optimal properties of SPRT for some stochastic processes by B. R. Bhat Estimation theory for the branching process with immigration by J. Winnicki A sequential approach for reducing curved exponential families of stochastic processes to noncurved exponential ones by V. T. Stefanov Palm distributions of point processes and their applications to statistical inference by A. F. Karr The mathematical structure of error correction models by S. Johansen.
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