On the mean and the variance of estimates of Kullback information and relative “useful” information measures

Harish C. Taneja

Aplikace matematiky (1985)

  • Volume: 30, Issue: 3, page 166-175
  • ISSN: 0862-7940

Abstract

top
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.

How to cite

top

Taneja, Harish C.. "On the mean and the variance of estimates of Kullback information and relative “useful” information measures." Aplikace matematiky 30.3 (1985): 166-175. <http://eudml.org/doc/15395>.

@article{Taneja1985,
abstract = {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.},
author = {Taneja, Harish C.},
journal = {Aplikace matematiky},
keywords = {relative information; utility; Maximum Likelihood Estimator; relative information; utility; Maximum Likelihood Estimator},
language = {eng},
number = {3},
pages = {166-175},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the mean and the variance of estimates of Kullback information and relative “useful” information measures},
url = {http://eudml.org/doc/15395},
volume = {30},
year = {1985},
}

TY - JOUR
AU - Taneja, Harish C.
TI - On the mean and the variance of estimates of Kullback information and relative “useful” information measures
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 3
SP - 166
EP - 175
AB - 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.
LA - eng
KW - relative information; utility; Maximum Likelihood Estimator; relative information; utility; Maximum Likelihood Estimator
UR - http://eudml.org/doc/15395
ER -

References

top
  1. T. W. Anderson, An Introduction to Multivariate Statistical Analysis, John Wiley and Sons Inc., New York, 1958. (1958) Zbl0083.14601MR0091588
  2. M. Belis S. Guiasu, 10.1109/TIT.1968.1054185, IEEE Trans. Inform. Theory, 14 (1968), 593-594. (1968) DOI10.1109/TIT.1968.1054185
  3. S. Kullback, Information Theory and Statistics, Wiley, New York, 1959. (1959) Zbl0088.10406MR0103557
  4. G. Longo, A Quantiative-Qualitative Measure of Information, Springer-Verlag, 1972. (1972) MR0351627
  5. H. C. Taneja R. K. Tuteja, Characterization of a Quantitative-Qualitative Measure of Relative Information, Information Sciences, 33 (1984). (1984) MR0764294
  6. H. Theil, Economics and Information Theory, North-Holland Publishing Co., Amsterdam, 1967. (1967) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.