The problem of estimating a probability density functionp(x)over[0, infty)when several low-order moments are known is considered. A computational procedure, based on information theory, is used to obtain the maximum entropy estimates ofp(x)in a number of cases. The situation when the first two moments only are known is considered in some detail. A table is included for estimatingp(x)when givenmu_1 ^{prime} , mu_2 ^{prime}withmu_2 ^{prime} leq 2(mu_1 ^{prime}) ^ 2.
Published in:
Information Theory, IEEE Transactions on
(Volume:16
,
Issue:
2
)
Date of Publication:
Mar 1970
- Page(s):
-
226
-
230
- ISSN :
-
0018-9448
- Digital Object Identifier :
-
10.1109/TIT.1970.1054417
- Product Type:
-
Journals & Magazines
- Date of Current Version :
-
06 January 2003
- Issue Date :
-
Mar 1970
- Sponsored by :
-
IEEE Information Theory Society