Statistical Papers

, Volume 49, Issue 2, pp 201–209

Normal and logistic random variables: distribution of the linear combination

Regular Article

DOI: 10.1007/s00362-006-0006-7

Cite this article as:
Gupta, A.K. & Nadarajah, S. Statistical Papers (2008) 49: 201. doi:10.1007/s00362-006-0006-7


The exact distribution of the linear combination α X  +  β Y is derived when X and Y are normal and logistic random variables distributed independently of each other. Tabulations of the associated percentage points are given along with a computer program to generate them. This work is motivated by problems in reliability engineering.

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsBowling Green State UniversityBowling GreenUSA
  2. 2.School of MathematicsUniversity of ManchesterManchesterUK