I am looking for a (commonly used) probability density function, which would look like a normal distribution flipped upside down. It would look like a uniform distribution with a dent in the middle.
Just to be clear, I am dealing with a continuous random variable within some range, say
Sometimes I have data which is concentrated around zero, but other times I have data which is concentrated toward 1 and -1, while the region around zero is relatively underpopulated. Is there a kind of pdf which (depending on some parameter) can represent these two cases?