Asymptotic minimax results for stochastic process families with critical points
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Publication:1208935
DOI10.1016/0304-4149(93)90040-BzbMath0783.62064MaRDI QIDQ1208935
Prescilla E. Greenwood, Wolfgang Wefelmeyer
Publication date: 16 May 1993
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
critical pointsstationaryAR(1) processesexplosiverandom Fisher informationlocal quadratic approximationstochastic process modelsfiltered modelslocal asymptotic minimax boundslocally quadratic likelihoodmixed normal caserandomly normalized estimatorstime-changed estimator processes
Asymptotic properties of parametric estimators (62F12) Non-Markovian processes: estimation (62M09) Minimax procedures in statistical decision theory (62C20)
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Cites Work
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- Asymptotic conditional inference for regular nonergodic models with an application to autoregressive processes
- Fixed accuracy estimation of an autoregressive parameter
- Asymptotic inference for nearly nonstationary AR(1) processes
- Asymptotic tests of composite hypotheses for non-ergodic type stochastic processes
- Asymptotics in statistics: some basic concepts
- Asymptotic minimax results for stochastic process families with critical points
- Towards a unified asymptotic theory for autoregression
- Some Useful Functions for Functional Limit Theorems
- Asymptotic minimaxity of a sequential estimator for a first order autoregressive model
- ON ASYMPTOTIC INFERENCE IN COINTEGRATED TIME SERIES WITH FRACTIONALLY INTEGRATED ERRORS
- Time Series Regression with a Unit Root