Regular Article

Statistical Papers

, Volume 49, Issue 2, pp 201-209

First online:

Normal and logistic random variables: distribution of the linear combination

  • Arjun K. GuptaAffiliated withDepartment of Mathematics and Statistics, Bowling Green State University
  • , Saralees NadarajahAffiliated withSchool of Mathematics, University of Manchester Email author 

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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.