If any executor or administrator refuses to allow any claim or demand against the deceased after it has been exhibited to him in accordance with the provisions of this subchapter, the claimant may present his claim to the court or the judge thereof for allowance, giving the executor or administrator thirty days' notice of such application to the court. The district court shall hear and determine in a summary manner all demands against any estate in accordance with the provisions of this chapter, and which have been so rejected by the executor or administrator, and shall cause a concise entry of the order of allowance or rejection to be made on the record. The order shall have the force and effect of a judgment, from which an appeal may be taken as in ordinary cases. No claim which has been rejected by the executor or administrator as aforesaid shall be allowed by the court, except upon some competent or satisfactory evidence other than the testimony of the claimant. No claim shall be allowed by the executor or administrator or the district court which is barred by the statute of limitations.