Fetching the paper…
Reading the bibliography…
This paper develops a general framework for analyzing asymptotics of $V$-statistics.
1905
Earlier work this paper cites.
[author] Halmos, Paul R.P. R. (1946). The theory of unbiased estimation. Ann. Math. Statistics 17 34–43. 10.1214/aoms/1177731020 15746
1946
Earlier work this paper cites.
[author] v. Mises, R.R. (1947). On the asymptotic distribution of differentiable statistical functions. Ann. Math. Statistics 18 309–348. 10.1214/aoms/1177730385 22330
1947
Earlier work this paper cites.
[author] Hoeffding, WassilyW. (1948). A class of statistics with asymptotically normal distribution. Ann. Math. Statistics 19 293–325. 10.1214/aoms/1177730196 26294
1948
Earlier work this paper cites.
[author] Sen, PKP. (1992). Introduction to Hoeffding (1948) A class of statistics with asymptotically normal distribution. In Breakthroughs in statistics 299–307. Springer
1948
Earlier work this paper cites.
[author] Hájek, JaroslavJ. (1968). Asymptotic normality of simple linear rank statistics under alternatives. Ann. Math. Statist. 39 325–346. 10.1214/aoms/1177698394 222988
1968
Earlier work this paper cites.
[author] Rennie, B. C.B. C. and Dobson, A. J.A. J. (1969). On Stirling numbers of the second kind. J. Combinatorial Theory 7 116–121. 241310
1969
Earlier work this paper cites.
[author] D’Agostino, Ralph B.R. B. (1971). An omnibus test of normality for moderate and large size samples. Biometrika 58 341–348. 10.1093/biomet/58.2.341 323010
1971
Earlier work this paper cites.
[author] Jaeckel, Louis AL. A. (1972). The infinitesimal jackknife. Bell Telephone Laboratories
1972
Earlier work this paper cites.
[author] D’Agostino, RalphR. and Pearson, E. S.E. S. (1973). Tests for departure from normality. Empirical results for the distributions of b 2 b_{2} and b 1 \surd b_{1} . Biometrika 60 613–622. 10.1093/biomet/60.3.613 339372
1973
Earlier work this paper cites.
[author] Serfling, Robert J.R. J. (1980). Approximation theorems of mathematical statistics. John Wiley & Sons, Inc., New York Wiley Series in Probability and Mathematical Statistics. 595165
1980
Earlier work this paper cites.
[author] Efron, BradleyB. (1982). The jackknife, the bootstrap and other resampling plans. CBMS-NSF Regional Conference Series in Applied Mathematics 38. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pa. 659849
1982
Earlier work this paper cites.
[author] Frees, Edward W.E. W. (1989). Infinite order U U -statistics. Scand. J. Statist. 16 29–45. 1003967
1989
Cited alongside, same era.
[author] Lee, JustinJ. (1990). U-statistics: Theory and Practice
1990
Cited alongside, same era.
[author] Friedman, Jerome H.J. H. (1991). Multivariate adaptive regression splines. Ann. Statist. 19 1–141. With discussion and a rejoinder by the author. 10.1214/aos/1176347963 1091842
1991
Cited alongside, same era.
[author] Efron, BradleyB. (1992). Jackknife-after-bootstrap standard errors and influence functions. J. Roy. Statist. Soc. Ser. B 54 83–127. 1157715
1992
Cited alongside, same era.
[author] Searle, Shayle R.S. R., Casella, GeorgeG. and McCulloch, Charles E.C. E. (2006). Variance components. Wiley Series in Probability and Statistics. Wiley-Interscience [John Wiley & Sons], Hoboken, NJ Reprint of the 1992 original, Wiley-Interscience Paperback Series. 2298115
[author] Sun, YunpengY., Apley, Daniel W.D. W. and Staum, JeremyJ. (2011). Efficient nested simulation for estimating the variance of a conditional expectation. Oper. Res. 59 998–1007. 10.1287/opre.1110.0932 2844419
2011
Later among the works it cites.
[author] Zhou, Zhi-HuaZ.-H. (2012). Ensemble methods. Chapman & Hall/CRC Machine Learning & Pattern Recognition Series. CRC Press, Boca Raton, FL Foundations and algorithms. 3184068
2012
Later among the works it cites.
[author] Efron, BradleyB. (2014). Estimation and accuracy after model selection. J. Amer. Statist. Assoc. 109 991–1007. 10.1080/01621459.2013.823775 3265671
2013
Later among the works it cites.
[author] Wager, StefanS., Hastie, TrevorT. and Efron, BradleyB. (2014). Confidence intervals for random forests: the jackknife and the infinitesimal jackknife. J. Mach. Learn. Res. 15 1625–1651. 3225243
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1992
Cited alongside, same era.
[author] Shieh, Grace S.G. S. (1994). Infinite order V V -statistics. Statist. Probab. Lett. 20 75–80. 10.1016/0167-7152(94)90237-2 1294807
1994
Cited alongside, same era.
[author] Breiman, LeoL. (1996). Bagging predictors. Machine learning 24 123–140
1996
Cited alongside, same era.
[author] Breiman, LeoL. (2001). Random forests. Machine learning 45 5–32
2001
Cited alongside, same era.
[author] Zouaoui, FakerF. and Wilson, James RJ. R. (2003). Accounting for parameter uncertainty in simulation input modeling. Iie Transactions 35 781–792
2003
Cited alongside, same era.
[author] Sexton, JosephJ. and Laake, PetterP. (2009). Standard errors for bagged and random forest estimators. Comput. Statist. Data Anal. 53 801–811. 10.1016/j.csda.2008.08.007 2654590
2008
Cited alongside, same era.
[author] Staum, JeremyJ. (2009). Monte Carlo computation in finance. In Monte Carlo and quasi-Monte Carlo methods 2008 19–42. Springer, Berlin. 10.1007/978-3-642-04107-5_2 2743886
2008
Cited alongside, same era.
[author] Ishwaran, HemantH. and Kogalur, Udaya B.U. B. (2010). Consistency of random survival forests. Statist. Probab. Lett. 80 1056–1064. 10.1016/j.spl.2010.02.020 2651045
2010
Cited alongside, same era.
[author] Scornet, ErwanE., Biau, GérardG. and Vert, Jean-PhilippeJ.-P. (2015). Consistency of random forests. Ann. Statist. 43 1716–1741. 10.1214/15-AOS1321 3357876
2015
Later among the works it cites.
[author] Goda, TakashiT. (2017). Computing the variance of a conditional expectation via non-nested Monte Carlo. Oper. Res. Lett. 45 63–67. 10.1016/j.orl.2016.12.002 3600230
2016
Later among the works it cites.
[author] Mentch, LucasL. and Hooker, GilesG. (2016). Quantifying uncertainty in random forests via confidence intervals and hypothesis tests. J. Mach. Learn. Res. 17 Paper No. 26, 41. 3491120
2016
Later among the works it cites.
2017
Later among the works it cites.
[author] Wager, StefanS. and Athey, SusanS. (2018). Estimation and inference of heterogeneous treatment effects using random forests. J. Amer. Statist. Assoc. 113 1228–1242. 10.1080/01621459.2017.1319839 3862353
2017
Later among the works it cites.
2018
Later among the works it cites.
[author] Athey, SusanS., Tibshirani, JulieJ. and Wager, StefanS. (2019). Generalized random forests. Ann. Statist. 47 1148–1178. 10.1214/18-AOS1709 3909963
2019
Closest in time.
[author] Biau, GérardG., Devroye, LucL. and Lugosi, GáborG. (2008). Consistency of random forests and other averaging classifiers. J. Mach. Learn. Res. 9 2015–2033. 2447310
2033
Closest in time.