@article{PS_1998__2__109_0, author = {Benhenni, Karim and Istas, Jacques}, title = {Minimax results for estimating integrals of analytic processes}, journal = {ESAIM: Probability and Statistics}, pages = {109--121}, publisher = {EDP-Sciences}, volume = {2}, year = {1998}, mrnumber = {1645221}, zbl = {0905.62031}, language = {en}, url = {http://www.numdam.org/item/PS_1998__2__109_0/} }
Benhenni, Karim; Istas, Jacques. Minimax results for estimating integrals of analytic processes. ESAIM: Probability and Statistics, Tome 2 (1998), pp. 109-121. http://www.numdam.org/item/PS_1998__2__109_0/
Handbook of Mathematical Functions. Dover, New York.
, ( 1965).Sampling designs for estimating integrals of stochastic processes. Ann. Statist. 20 161-194. | MR | Zbl
, ( 1992a).Sampling designs for estimating integrals of stochastic processes using quadratic mean derivatives. In Approximation theory: proceedings of tthe sixth southeastern approximation theorists annual conference, G.A. Anastassiou ed., 93-123. | MR | Zbl
, ( 1992b).On an optimal quadrature formula. Comptes rendus de l Académie bulgare des Sciences 27 (5) 619-621. | MR | Zbl
( 1974).Sampling designs for time series. In Time series in the time domain. Handbook of statistics, E.J. Hannan, P.R. Krishnaiah, M.M. Rao, eds. 5 337-362. | MR
( 1985).Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes. Hermann, Paris. | Zbl
( 1978).Stationary and related stochastic processes. Wiley, New-York. | MR | Zbl
, ( 1967).Theory of Hp spaces, New-York and London. | MR | Zbl
( 1970).A note on optimal and asymptotically optimal designs for certain time series models. Ann. Statist. 10 1295-1301. | MR | Zbl
, , ( 1982).Statistical estimation, Asymptotic theory. Springer-Verlag, New-York. | MR | Zbl
, ( 1981).Estimating functionals of a stochastic process. Adv. Appl. Prob. 10 (1) 249-270. | MR | Zbl
, ( 1997).Optimal numerical quadrature in Hp spaces. Math. Z. 138 111-117. | EuDML | MR | Zbl
, ( 1974).Optimal estimation in approximation theory. In A survey of optimal recovery C.A. Miccheli, T.J. Rivlin eds, Plenum, N.Y., 1-54. | MR | Zbl
, ( 1977).Lectures on optimal recovery. In Numerical Analysis, Lecture Notes in Math. 1129 21-93, Springer. | MR | Zbl
, ( 1984).Quadrature formulae for Hp functions. Math. Z. 166 111-115. | EuDML | MR | Zbl
( 1979).Statistical inference on time series by Hilbert space methods. In Time series analysis papers, E. Parzen ed. Holden-Day, San Fransisco, 251-382.
( 1959).Real and complex analysis. McGraw-Hill, New-York. | MR | Zbl
( 1966).Designs for regression problem problems with correlated errors. Ann. Math. Stat. 37 66-89. | MR | Zbl
, ( 1966).Designs for regression problem problems with correlated errors II. Ann. Math. Stat. 39 49-69. | MR | Zbl
, ( 1968).Designs for regression problem problems with correlated errors III. Ann. Math. Stat. 41 2057-2074. | MR | Zbl
, ( 1970).Statistical designs and integral approximation. In Proceedings of the twelfth biennial canadian mathematical society seminar R. Pyke eds. Canadian Mathematical Congress, 115-136. | MR | Zbl
, ( 1971).Predicting integrals of stochastic processes. Ann. Appl. Prob. 5 (1) 158-170. | MR | Zbl
( 1995).Spline models for observational data. S.I.A.M., Philadelphia, Pennsylvania. | MR | Zbl
( 1990).