| Title:
|
On the mean and the variance of estimates of Kullback information and relative “useful” information measures (English) |
| Author:
|
Taneja, Harish C. |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
30 |
| Issue:
|
3 |
| Year:
|
1985 |
| Pages:
|
166-175 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the mean and the variance of the Maximum Likelihood Estimator (MLE) of Kullback information measure and measure of relative "useful" information are obtained. (English) |
| Keyword:
|
relative information |
| Keyword:
|
utility |
| Keyword:
|
Maximum Likelihood Estimator |
| MSC:
|
62B10 |
| MSC:
|
62F10 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0581.94004 |
| idMR:
|
MR0789858 |
| DOI:
|
10.21136/AM.1985.104139 |
| . |
| Date available:
|
2008-05-20T18:27:15Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104139 |
| . |
| Reference:
|
[1] T. W. Anderson: An Introduction to Multivariate Statistical Analysis.John Wiley and Sons Inc., New York, 1958. Zbl 0083.14601, MR 0091588 |
| Reference:
|
[2] M. Belis S. Guiasu: A Quantitative-Qualitative Measure of Information in Cybernetic Systems.IEEE Trans. Inform. Theory, 14 (1968), 593-594. 10.1109/TIT.1968.1054185 |
| Reference:
|
[3] S. Kullback: Information Theory and Statistics.Wiley, New York, 1959. Zbl 0088.10406, MR 0103557 |
| Reference:
|
[4] G. Longo: A Quantiative-Qualitative Measure of Information.Springer-Verlag, 1972. MR 0351627 |
| Reference:
|
[5] H. C. Taneja R. K. Tuteja: Characterization of a Quantitative-Qualitative Measure of Relative Information.Information Sciences, 33 (1984). MR 0764294 |
| Reference:
|
[6] H. Theil: Economics and Information Theory.North-Holland Publishing Co., Amsterdam, 1967. |
| . |
