TY - JOUR
T1 - Some properties of a scaled Burr type X distribution
AU - Surles, J. G.
AU - Padgett, W. J.
N1 - Funding Information:
The comments and suggestions of two referees for improving the paper are appreciated. This research was partially supported by the National Science Foundation under grant number DMS-9877107 to the University of South Carolina, and also for the second author, DMS-0243594.
PY - 2005/1/15
Y1 - 2005/1/15
N2 - Properties of a scaled Burr type X distribution are given. Closed-form expressions for the moments only exist for certain special cases, so upper and lower bounds for the first moment are given, as well as an approximation based on these bounds. Maximum likelihood estimation is considered, and the asymptotic properties of these estimators are discussed for i.i.d. samples, as well as for Types I and II censoring. Finally, an extension to a multivariate Burr type X distribution is introduced.
AB - Properties of a scaled Burr type X distribution are given. Closed-form expressions for the moments only exist for certain special cases, so upper and lower bounds for the first moment are given, as well as an approximation based on these bounds. Maximum likelihood estimation is considered, and the asymptotic properties of these estimators are discussed for i.i.d. samples, as well as for Types I and II censoring. Finally, an extension to a multivariate Burr type X distribution is introduced.
KW - Burr distributions
KW - Exponentiated Weibull
KW - Maximum likelihood
KW - Multivariate Burr type X
UR - http://www.scopus.com/inward/record.url?scp=15344347026&partnerID=8YFLogxK
U2 - 10.1016/j.jspi.2003.10.003
DO - 10.1016/j.jspi.2003.10.003
M3 - Article
AN - SCOPUS:15344347026
SN - 0378-3758
VL - 128
SP - 271
EP - 280
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 1
ER -