Alaska Airlines has a good record when it comes to handling bags. But recently it lost its CEO's bags.

Brad Tilden, who has been with the company since 1991, admitted that his own airline lost his bags during a conference last week in Washington DC. He got his bags back the next day.

Federal statistics show that Alaska Air (ALK) is better than average when it comes to mishandled bags; it loses about 3 bags per 100,000 customers. That's better than most of the major carriers such as United Airlines (UAL) and American (AAL). The industry-wide average is 3.5 bags per 100,000 customers.

Related: Airlines get $1 billion from baggage fees

Alaska Air is so confident about its baggage service that in 2009 it became the first airline to offer customers a $25 voucher or 2,500 frequent flier miles if their bags get to baggage claim take more than 20 minutes after their plane reaches the gate.