The uniform asymptotic normality of a matrix-T distribution
Author(s) -
Li Kai,
Jian Zhang,
Di Mao
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2115253l
Subject(s) - mathematics , matrix (chemical analysis) , asymptotic distribution , mathematical analysis , distribution (mathematics) , normality , statistics , materials science , estimator , composite material
Using the Kullback-Leibler distance between two density functions about a matrix T distribution and a matrix normal distribution, we obtain a Berry-Esseen boundary for the T distribution. Further, we give the condition under which a matrix T is uniformly asymptotically matrix normal distribution, and point out the convergence rate.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom