Convolution of a symmetric log-concave distribution and a symmetric bimodal distribution can have any number of modes

02/18/2021
by   Charles Arnal, et al.
0

In this note, we show that the convolution of a discrete symmetric log-concave distribution and a discrete symmetric bimodal distribution can have any strictly positive number of modes. A similar result is proved for smooth distributions.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset