Random orthogonal set functions and stochastic models for the gravity potential of the earth

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Standard

Random orthogonal set functions and stochastic models for the gravity potential of the earth. / Lauritzen, Steffen L.

I: Stochastic Processes and Their Applications, Bind 3, Nr. 1, 01.1975, s. 65-72.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Lauritzen, SL 1975, 'Random orthogonal set functions and stochastic models for the gravity potential of the earth', Stochastic Processes and Their Applications, bind 3, nr. 1, s. 65-72. https://doi.org/10.1016/0304-4149(75)90007-1

APA

Lauritzen, S. L. (1975). Random orthogonal set functions and stochastic models for the gravity potential of the earth. Stochastic Processes and Their Applications, 3(1), 65-72. https://doi.org/10.1016/0304-4149(75)90007-1

Vancouver

Lauritzen SL. Random orthogonal set functions and stochastic models for the gravity potential of the earth. Stochastic Processes and Their Applications. 1975 jan.;3(1):65-72. https://doi.org/10.1016/0304-4149(75)90007-1

Author

Lauritzen, Steffen L. / Random orthogonal set functions and stochastic models for the gravity potential of the earth. I: Stochastic Processes and Their Applications. 1975 ; Bind 3, Nr. 1. s. 65-72.

Bibtex

@article{ce364c6701f742818d2dc8362d157ba4,
title = "Random orthogonal set functions and stochastic models for the gravity potential of the earth",
abstract = "The covariance function of the Newtonian potential of a random orthogonal set function on the unit sphere in three dimensions is derived, and it is shown that the coefficients to the series expansion of this are simply related to the moments of the covariance measure of the random set function. Furthermore, as an application, it is shown that available gravity data indicate a mass distribution inside the Earth which becomes more and more irregular as one approaches the centre of the Earth.",
author = "Lauritzen, {Steffen L.}",
year = "1975",
month = jan,
doi = "10.1016/0304-4149(75)90007-1",
language = "English",
volume = "3",
pages = "65--72",
journal = "Stochastic Processes and their Applications",
issn = "0304-4149",
publisher = "Elsevier BV * North-Holland",
number = "1",

}

RIS

TY - JOUR

T1 - Random orthogonal set functions and stochastic models for the gravity potential of the earth

AU - Lauritzen, Steffen L.

PY - 1975/1

Y1 - 1975/1

N2 - The covariance function of the Newtonian potential of a random orthogonal set function on the unit sphere in three dimensions is derived, and it is shown that the coefficients to the series expansion of this are simply related to the moments of the covariance measure of the random set function. Furthermore, as an application, it is shown that available gravity data indicate a mass distribution inside the Earth which becomes more and more irregular as one approaches the centre of the Earth.

AB - The covariance function of the Newtonian potential of a random orthogonal set function on the unit sphere in three dimensions is derived, and it is shown that the coefficients to the series expansion of this are simply related to the moments of the covariance measure of the random set function. Furthermore, as an application, it is shown that available gravity data indicate a mass distribution inside the Earth which becomes more and more irregular as one approaches the centre of the Earth.

UR - http://www.scopus.com/inward/record.url?scp=0344338239&partnerID=8YFLogxK

U2 - 10.1016/0304-4149(75)90007-1

DO - 10.1016/0304-4149(75)90007-1

M3 - Journal article

AN - SCOPUS:0344338239

VL - 3

SP - 65

EP - 72

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

SN - 0304-4149

IS - 1

ER -

ID: 256627687