# A note on correlation coefficient between random events

Discussiones Mathematicae Probability and Statistics (2015)

- Volume: 35, Issue: 1-2, page 57-60
- ISSN: 1509-9423

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topCzesław Stępniak. "A note on correlation coefficient between random events." Discussiones Mathematicae Probability and Statistics 35.1-2 (2015): 57-60. <http://eudml.org/doc/276479>.

@article{CzesławStępniak2015,

abstract = {Correlation coefficient is a well known measure of (linear) dependence between random variables. In his textbook published in 1980 L.T. Kubik introduced an analogue of such measure for random events A and B and studied its basic properties. We reveal that this measure reduces to the usual correlation coefficient between the indicator functions of A and B. In consequence the resuts by Kubik are obtained and strenghted directly. This is essential because the textbook is recommended by many universities in Poland.},

author = {Czesław Stępniak},

journal = {Discussiones Mathematicae Probability and Statistics},

keywords = {correlation coefficient between random events; correlation coefficient for random variables; synergy phenomenon},

language = {eng},

number = {1-2},

pages = {57-60},

title = {A note on correlation coefficient between random events},

url = {http://eudml.org/doc/276479},

volume = {35},

year = {2015},

}

TY - JOUR

AU - Czesław Stępniak

TI - A note on correlation coefficient between random events

JO - Discussiones Mathematicae Probability and Statistics

PY - 2015

VL - 35

IS - 1-2

SP - 57

EP - 60

AB - Correlation coefficient is a well known measure of (linear) dependence between random variables. In his textbook published in 1980 L.T. Kubik introduced an analogue of such measure for random events A and B and studied its basic properties. We reveal that this measure reduces to the usual correlation coefficient between the indicator functions of A and B. In consequence the resuts by Kubik are obtained and strenghted directly. This is essential because the textbook is recommended by many universities in Poland.

LA - eng

KW - correlation coefficient between random events; correlation coefficient for random variables; synergy phenomenon

UR - http://eudml.org/doc/276479

ER -

## References

top- [1] P. Brémaud, An Introduction to Probabilistic Modeling (Springer-Verlag, New York, 1994). Zbl0652.60002
- [2] L.T. Kubik, Probability. A Textbook for Teaching Mathematics Studies (in Polish) 9Polish Scientific Publishers, Warsaw, 1980).
- [3] K. Maciąg and C. Stępniak, Lack of synergy regression models, Comm. Statist. Theory Methods 43 (2014), 383-391.
- [4] D. Stirzaker, Elementary Probability (Cambridge Univ. Press, Cambridge, 1994).

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