I would like to use and with my following sentence but I feel my structure is wrong.
We used lower and upper tails dependency shapes and positive and negative dependency shapes.
How can I use and with this sentence? any idea or help, please?
If you really wish to remain using and, then to improve the clarity of how the two items are grouped, I would suggest the use of ampersands in place of and in between lower and upper, e.g.:
We used lower & upper tails dependency shapes and positive & negative dependency shapes.
However, there are several ways in which you could avoid the and repetition entirely:
We used lower & upper tails dependency shapes in addition to positive & negative dependency shapes.
We used lower & upper tails dependency shapes as well as positive & negative dependency shapes. (credit: @RonaldSole)
We used lower & upper tails dependency shapes coupled with positive & negative dependency shapes.
(Though, that last option may depend somewhat on the context)
Your structure doesn't seem to be incorrect, though there may be better ways to express its meaning.
You can also write it as:
We used shapes with both lower/upper tails dependency and positive/negative dependency.