Simple tests for the validity of correlation function models on the circle

Statistics and Probability Letters

Volumn 39, Issue 2, 1998, Pages 119-122

  Gneiting, Tilmann ^a,b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

Characteristic function; Circle; Correlation function; Fourier coefficients; Geostatistical simulation; Periodic continuation; Positive definite; P lya's criterion

Indexed keywords

EID: 0032138290     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00042-x     Document Type: Article

References (10)

1. Dietrich, C.R., 1995. A simple and efficient space domain implementation of the turning bands method. Water Resources Res. 31, 147-156.
2. Dietrich, C.R., Newsam, G.N., 1993. A fast and exact method for multidimensional Gaussian stochastic simulations. Water Resources Res. 29, 2861-2869.
3. Dugué, D., Girault, M., 1955. Fonctions convexes de Polya. Publications Institut Statist, Univ. Paris 4, 3-10.
4. Lévy, P., 1961. Quelque problèmes non résolus de la théorie des fonctions caractéristiques. Ann. Mat. Pura Appl., Ser. 4, 53, 315-331.
5. Lukacs, E., 1970. Characteristic Functions, 2nd ed. Griffin, London.
6. Wendland, H., 1995. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv. Comput. Math. 4, 389-396.
7. Wolfe, S.J., 1975. On derivatives of characteristic functions. Ann. Probab. 3, 737-738.
8. Wood, A.T.A., 1995. When is a truncated covariance function on the line a covariance function on the circle? Statist. Probab. Lett. 24, 157-164.
9. d. J. Comput. Graphical Statist. 3, 409-432.
10. Yaglom, A.M., 1987. Correlation Theory of Stationary and Related Random Functions I. Springer, New York.