We often receive reports from people asking what they can do if they think someone else has their Skype name and password. If you believe that your account has been compromised, you can find out what you can do from the following sites.
If you want to report abusive behavior in Skype, for example an unknown contact who keeps sending you links to malware, see this page from Skype:
How do I report abuse by someone on Skype
If you want to report that your Skype account has been taken over by another person, see this page:
What can I do if someone has taken over my account
Skype also offers tips on how to identify fake emails pretending to be from them at this page:
How do I know that an email is really from Skype
And just for good measure, if you believe your Hotmail or Outlook account has been compromised, see this page:
My Hotmail account has been hacked