The iterated jackknife estimate of variance

Statistics and Probability Letters

Volumn 35, Issue 2, 1997, Pages 197-201

  Houdré, Christian ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Bootstrap; Delta method; Efron Stein inequality; Jackknife

Indexed keywords

EID: 0031591866     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00014-x     Document Type: Article

References (14)

1. Bhargava, R.P. (1983), A property of the jackknife estimation of the variance when more than one observation is omitted, Shankyā Ser. A 45, 112-119.
2. Efron, B. and C. Stein (1981), The jackknife estimate of variance, Ann. Statist. 9, 586-596.
3. Houdré, C. (1995), Some applications of covariance identities and inequalities to functions of multivariate normal variables, J. Amer. Statist. Assoc. 90, 965-968.
4. Houdré, C. and A. Kagan (1995), Variance inequalities for functions of Gaussian variables, J. Theory Probab. 8, 23-30.
5. Houdré, C. and V. Peréz-Abreu (1995), Covariance identities and inequalities for functionals on Wiener and Poisson spaces, Ann. Probab. 23, 400-419.
6. Houdré, C., V. Peréz-Abreu and D. Surgailis (1996), Interpolation, correlation identities and inequalities for infinitely divisible variables, preprint.
7. Karlin, S. and Y. Rinott (1982), Application of ANOVA type decomposition for comparisons of conditional variance statistics including jackknife estimates, Ann. Statist. 10, 485-501.
8. Rhee, W.T. and M. Talagrand (1986), Martingale inequalities and the jackknife estimate of variance, Statist. Probab. Lett. 4, 5-6.
9. Steele, J.M. (1981), Complete convergence of short paths and Karp's algorithm for the tsp, Math. Oper. Res. 6, 374-378.
10. Steele, J.M. (1982), Optimal triangulation of random samples in the plane, Ann. Probab. 10, 548-553.
11. Steele, J.M. (1986), An Efron-Stein inequality for nonsymmetric statistics, Ann. Statist. 14, 753-758.
12. Vitale, R.A. (1984), An expansion for symmetric statistics and the Efron-Stein inequality, in: Y.L. Tong, ed., Inequalities in Statistics and Probability, IMS Lecture Notes - Monograph Series 5 (IMS, Hayward, CA) pp. 112-114.
13. Vitale, R.A. (1993), On the bias of jackknife estimate of variance, in: M. Snaked and Y.L. Tong, eds., Stochastic Inequalities, IMS Lecture Notes - Monograph Series 22 (IMS, Hayward, CA) pp. 399-403.
14. Vitale, R.A. (1989), A differential version of the Efron-Stein inequality: Bounding the variance of a function of an infinitely divisible variable, Statist. Probab. Lett. 7, 105-112.