There are 15 statistics on Parking functions in the database:
(and possibly some waiting for verification)

St000135Parking functions ⟶ ℤ
The number of lucky cars of the parking function.
St000136Parking functions ⟶ ℤ
The dinv of a parking function.
St000165Parking functions ⟶ ℤ
The sum of the entries of a parking function.
St000188Parking functions ⟶ ℤ
The area of the Dyck path corresponding to a parking function.
St000194Parking functions ⟶ ℤ
The number of primary dinversion pairs of a labelled dyck path corresponding to a parking function.
St000195Parking functions ⟶ ℤ
The number of secondary dinversion pairs of the dyck path corresponding to a parking function.
St000540Parking functions ⟶ ℤ
The sum of the entries of a parking function minus its length.
St000942Parking functions ⟶ ℤ
The number of critical left to right maxima of the parking functions.
St000943Parking functions ⟶ ℤ
The number of spots the most unlucky car had to go further in a parking function.
St001209Parking functions ⟶ ℤ
The pmaj statistic of a parking function.
St001903Parking functions ⟶ ℤ
The number of fixed points of a parking function.
St001904Parking functions ⟶ ℤ
The length of the initial strictly increasing segment of a parking function.
St001905Parking functions ⟶ ℤ
The number of preferred parking spots in a parking function less than the index of the car.
St001935Parking functions ⟶ ℤ
The number of ascents in a parking function.
St001937Parking functions ⟶ ℤ
The size of the center of a parking function.