# Normal and logistic random variables: distribution of the linear combination

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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

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## Abstract

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.

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© Springer-Verlag 2006