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Exact estimation for Markov chain equilibrium expectations
| Content Provider | Scilit |
|---|---|
| Author | Glynn, Peter W. Rhee, Chang-Han |
| Copyright Year | 2014 |
| Description | We introduce a new class of Monte Carlo methods, which we call exact estimation algorithms. Such algorithms provide unbiased estimators for equilibrium expectations associated with real-valued functionals defined on a Markov chain. We provide easily implemented algorithms for the class of positive Harris recurrent Markov chains, and for chains that are contracting on average. We further argue that exact estimation in the Markov chain setting provides a significant theoretical relaxation relative to exact simulation methods. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/844D4F8B0872C8516FE8B51B2BAA103B/S0021900200021392a.pdf/div-class-title-exact-estimation-for-markov-chain-equilibrium-expectations-div.pdf |
| Ending Page | 389 |
| Page Count | 13 |
| Starting Page | 377 |
| ISSN | 00219002 |
| e-ISSN | 14756072 |
| DOI | 10.1017/s0021900200021392 |
| Journal | Journal of applied probability |
| Issue Number | A |
| Volume Number | 51 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2014-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of applied probability Statistics and Probability Unbiased Estimation Markov Chain Equilibrium Expectation Markov Chain Stationary Expectation Exact Estimation Exact Sampling Exact Simulation Perfect Sampling Perfect Simulation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |