Tips better notification updates?

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http://androidforums.com – Hi guys, not sure did you all experience delays in notification or sometimes doesn't even notify me at all? I was an iphone user, i really enjoy iphone's instant notification updates when someone mention me on twitter, facebook. Facebook and facebook messenger doesn't notify me at all when i'm in data mode - i will only receive notification when i'm on wifi. Anyone having this problem too? Is there way to improve the notification? I'm having the international version of note 2. (General)