A sequence defined by a series of exponential terms was discussed by Spivey [Math.Mag. 79 (2006) 61–65] and Holland [Math. Mag. 83 (2010) 51–54]. In this paper, a simple variation of this sequence is ...
The joint limiting distribution of suitably normalized partial sums and maxima in a stationary strong mixing sequence with finite variance is derived. It is found that in the limit the two components ...