{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:16:48Z","timestamp":1750306608607,"version":"3.41.0"},"reference-count":18,"publisher":"Association for Computing Machinery (ACM)","issue":"4","license":[{"start":{"date-parts":[[2015,5,8]],"date-time":"2015-05-08T00:00:00Z","timestamp":1431043200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"name":"National Science Foundation","award":["DMI-9624469, DMI-9900117, CMMI-0926949, CMMI-1200065, and DMS-1331010"],"award-info":[{"award-number":["DMI-9624469, DMI-9900117, CMMI-0926949, CMMI-1200065, and DMS-1331010"]}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Model. Comput. Simul."],"published-print":{"date-parts":[[2015,11,16]]},"abstract":"<jats:p>\n            We discuss some estimators for simulations of processes having multiple regenerative sequences. The estimators are obtained by resampling trajectories without and with replacement, which correspond to a type of\n            <jats:italic>U<\/jats:italic>\n            -statistic and a type of\n            <jats:italic>V<\/jats:italic>\n            -statistic, respectively. The\n            <jats:italic>U<\/jats:italic>\n            -statistic estimator turns out to be equivalent to the permuted regenerative estimator, which we previously proposed, but the\n            <jats:italic>V<\/jats:italic>\n            -statistic estimator is new. We compare analytically some properties of these estimators and the semiregenerative estimator. We show that when estimating the second moment of a cycle reward, the semiregenerative estimator has positive bias, which is strictly larger than the (positive) bias of the\n            <jats:italic>V<\/jats:italic>\n            -statistic estimator. The permuted estimator is unbiased. All of the estimators have the same asymptotic central limit behavior, with reduced asymptotic variance compared to the standard regenerative estimator. Some numerical results are included.\n          <\/jats:p>","DOI":"10.1145\/2699718","type":"journal-article","created":{"date-parts":[[2015,5,11]],"date-time":"2015-05-11T16:30:57Z","timestamp":1431361857000},"page":"1-25","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Resampled Regenerative Estimators"],"prefix":"10.1145","volume":"25","author":[{"given":"James M.","family":"Calvin","sequence":"first","affiliation":[{"name":"New Jersey Institute of Technology, NJ, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marvin K.","family":"Nakayama","sequence":"additional","affiliation":[{"name":"New Jersey Institute of Technology, NJ, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2015,5,8]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1080\/07408170802331268"},{"volume-title":"Proceedings of the 2001 Winter Simulation Conference, B. 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Institute of Electrical and Electronics Engineers, Piscataway, New Jersey, 441--450."},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1147224.1147228"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/280265.280273"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.48.5.776.12409"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0269964800142056"},{"volume-title":"Proceedings of the 2002 Winter Simulation Conference, E. Y\u00fccesan, C.-H. Chen, J. L. Snowdon, and J. M. Charnes (Eds.). Institute of Electrical and Electronics Engineers","author":"Calvin J. M.","key":"e_1_2_2_7_1","unstructured":"J. M. Calvin and M. K. Nakayama . 2002. A comparison of output-analysis methods for simulations of processes with multiple regeneration sequences . In Proceedings of the 2002 Winter Simulation Conference, E. Y\u00fccesan, C.-H. Chen, J. L. Snowdon, and J. M. Charnes (Eds.). Institute of Electrical and Electronics Engineers , Piscataway, New Jersey, 328--335. J. M. Calvin and M. K. Nakayama. 2002. A comparison of output-analysis methods for simulations of processes with multiple regeneration sequences. In Proceedings of the 2002 Winter Simulation Conference, E. Y\u00fccesan, C.-H. Chen, J. L. Snowdon, and J. M. Charnes (Eds.). Institute of Electrical and Electronics Engineers, Piscataway, New Jersey, 328--335."},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(03)00070-5"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1050.0183"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.23.1.33"},{"key":"e_1_2_2_11_1","doi-asserted-by":"crossref","unstructured":"B. Efron and R. Tibshirani. 1993. An Introduction to the Bootstrap. Chapman & Hall New York.  B. Efron and R. Tibshirani. 1993. An Introduction to the Bootstrap. Chapman & Hall New York.","DOI":"10.1007\/978-1-4899-4541-9"},{"key":"e_1_2_2_12_1","volume-title":"Concrete Mathematics: A Foundation for Computer Science","author":"Graham R. L.","year":"1994","unstructured":"R. L. Graham , D. E. Knuth , and O. Patashnik . 1994 . Concrete Mathematics: A Foundation for Computer Science ( 2 nd ed.). Addison-Wesley , Upper Saddle River, New Jersey. R. L. Graham, D. E. Knuth, and O. Patashnik. 1994. Concrete Mathematics: A Foundation for Computer Science (2nd ed.). Addison-Wesley, Upper Saddle River, New Jersey.","edition":"2"},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.28.2.375"},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1147\/rd.245.0570"},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/508366.508367"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/2699717"},{"volume-title":"Approximation Theorems of Mathematical Statistics","author":"Serfling R. 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