Making use of incomplete observations for regression in bivariate normal model

Joanna Tarasińska

Applications of Mathematics (2003)

  • Volume: 48, Issue: 1, page 67-72
  • ISSN: 0862-7940

Abstract

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Two estimates of the regression coefficient in bivariate normal distribution are considered: the usual one based on a sample and a new one making use of additional observations of one of the variables. They are compared with respect to variance. The same is done for two regression lines. The conclusion is that the additional observations are worth using only when the sample is very small.

How to cite

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Tarasińska, Joanna. "Making use of incomplete observations for regression in bivariate normal model." Applications of Mathematics 48.1 (2003): 67-72. <http://eudml.org/doc/33134>.

@article{Tarasińska2003,
abstract = {Two estimates of the regression coefficient in bivariate normal distribution are considered: the usual one based on a sample and a new one making use of additional observations of one of the variables. They are compared with respect to variance. The same is done for two regression lines. The conclusion is that the additional observations are worth using only when the sample is very small.},
author = {Tarasińska, Joanna},
journal = {Applications of Mathematics},
keywords = {bivariate normal distribution; regression coefficient; bivariate normal distribution; regression coefficient},
language = {eng},
number = {1},
pages = {67-72},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Making use of incomplete observations for regression in bivariate normal model},
url = {http://eudml.org/doc/33134},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Tarasińska, Joanna
TI - Making use of incomplete observations for regression in bivariate normal model
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 67
EP - 72
AB - Two estimates of the regression coefficient in bivariate normal distribution are considered: the usual one based on a sample and a new one making use of additional observations of one of the variables. They are compared with respect to variance. The same is done for two regression lines. The conclusion is that the additional observations are worth using only when the sample is very small.
LA - eng
KW - bivariate normal distribution; regression coefficient; bivariate normal distribution; regression coefficient
UR - http://eudml.org/doc/33134
ER -

References

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  1. Mathematical Methods of Statistics, Princ. Univ. Press, Princeton, 1966. (1966) MR1816288
  2. Continuous Univariate Distributions–2, Houghton Mifflin Company, Boston, 1970. (1970) 

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