Because all transactions that happen through DPD go through your own payment processor, we do not control what the payment processor places on the buyer’s credit card statement.
PayPal Standard and Express
For PayPal Express and Standard, the charge will generally be an instant payment transfer to their PayPal account where your actual payment is made from (since you are paid from their PayPal account and not paid by their card directly).
PayPal Payments Pro
For PayPal Pro the charge will show the descriptor that you set when you agreed to the Pro billing agreement.
Credit Card Processors
All credit card processors (Stripe, Authorize.net, SagePay, etc.) either set your statement descriptor when creating the account or let you set it in your profile in the payment processor account