  We propose an interesting assignment of positive modular wights for fields in
a modular non-Abelian discrete flavor symmetry. By this assignment, we can
construct inverse seesaw and linear seesaw models without any additional
symmetries which possess good testability in current experiments. At first, we
discuss probabilities for positive modular wights from a theoretical point of
view. Then we show concrete examples of inverse seesaw and linear seesaw
scenarios applying modular $A_4$ symmetry as examples and demonstrate some
predictions as well as being consistent with experimental results such as their
masses and mixings.
