TY - JOUR
T1 - Positive definite symmetric functions on finite-dimensional spaces II
AU - Richards, Donald St P.
N1 - Funding Information:
Using the Radon transform, Richards (1984) obtained integral representations for the density functions of certain absolutely continuous a-symmetric vectors. The Radon transform also led to the appearance of a new class of special functions generalizing the classical spherical Bessel func- Supported in part by NSF grant MCS-8403381. This research was performed during a leave of absence spent at the University of Wyoming.
PY - 1985/10
Y1 - 1985/10
N2 - Integral representations for the density functions of absolutely continuous α-symmetric random vectors are derived, and general methods for constructing new α-symmetric distributions are presented. An explicit formula, for determining the spectral measure of a symmetric stable random vector from its characteristic function, is obtained.
AB - Integral representations for the density functions of absolutely continuous α-symmetric random vectors are derived, and general methods for constructing new α-symmetric distributions are presented. An explicit formula, for determining the spectral measure of a symmetric stable random vector from its characteristic function, is obtained.
UR - http://www.scopus.com/inward/record.url?scp=0040072717&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0040072717&partnerID=8YFLogxK
U2 - 10.1016/0167-7152(85)90065-3
DO - 10.1016/0167-7152(85)90065-3
M3 - Article
AN - SCOPUS:0040072717
SN - 0167-7152
VL - 3
SP - 325
EP - 329
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
IS - 6
ER -