## Estimation of the sample size n based on record values

- I. Barranco-Chamorro, J. L. Moreno-Rebollo, María-Dolores Jiménez-Gamero, V. Alba Fernández
- Mathematics and Computers in Simulation
- 2015

Highly Influenced

@inproceedings{Johnson2005PreservationOL, title={Preservation of log-concavity on summation}, author={Oliver Johnson and Christina Goldschmidt}, year={2005} }

- Published 2005

We extend Hoggar’s theorem that the sum of two independent discrete-valued log-concave random variables is itself log-concave. We introduce conditions under which the result still holds for dependent variables. We argue that these conditions are natural by giving some applications. Firstly, we use our main theorem to give simple proofs of the log-concavity of the Stirling numbers of the second kind and of the Eulerian numbers. Secondly, we prove results concerning the log-concavity of the sum… CONTINUE READING