References
Cramér, H., On the theory of stationary random processes. Ann. Math., No. 41, 215–230 (1940).
Mathematical Methods of Statistics. Princeton University Press, New Jersey, 1961.
Grenander, U., andSzegö, G., Toeplitz Forms and Their Applications. University of California Press, California, 1958.
Grenander, U., Probabilities on Algebraic Structures. Wiley, New York, 1963.
Hobson, E. W., On Hellinger’s integrals. Proc. London Math. Soc.2, No. 18, 249–265 (1919).
Karhunen, K., Zur interpolation von stationären zufällingen funktionen. Ann. Acad. Sci. Fennicae, Ser. A, Math. Phys., No. 142, 3–8 (1958).
Paley, R., andWiener, N., Fourier Transforms in the Complex Domain. Amer. Math. Soc. Colloquium Pub., No. 19, New York, 1934.
Penrose, R. E., A generalized inverse for matrix. Proc. Cambridge Phil. Soc., No. 51, 406–413 (1955).
Rosenberg, M., The square-integrability of matrix-valued functions with respect to a non-negative hermitian measure. Duke Math. J., No. 32, 291–298 (1964).
Salehi, H., The Hellinger square-integrability of matrix-valued measures with respect to a non-negative hermitian measure. Ark. Mat.1, No. 21, 299–303 (1967).
Applications of the Hellinger integrals toq-variate stationary stochastic processes. Ark. för Mat.7, No. 21, 305–311 (1967).
Zygmund, A., Trigonometric Series. Cambridge University Press, New York, 1959.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Salehi, H. On the hellinger integrals and interpolation ofq-variate stationary stochastic processes. Ark. Mat. 8, 1–6 (1969). https://doi.org/10.1007/BF02589529
Issue Date:
DOI: https://doi.org/10.1007/BF02589529