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Following are similar to but different from previous posts here and here

1. Given two distributions which admit moments of all orders, if all the moments of two distributions are the same, then are they identical distributions a.e.?
2. Given two distributions which admit moment generating functions, if they have the same moments, are their moment generating functions the same?

Thanks!

Following are similar to but different from previous posts here and here

1. Given two distributions which admit moments of all orders, if all the moments of two distributions are the same, then are they identical distributions a.e.?
2. Given two distributions which admit moment generating functions, if they have the same moments, are their moment generating functions the same?

Following are similar to but different from previous posts here and here

1. Given two distributions which admit moments of all orders, if all the moments of two distributions are the same, then are they identical distributions a.e.?
2. Given two distributions which admit moment generating functions, if they have the same moments, are their moment generating functions the same?

Thanks!

Following are similar to but different from previous posts here and here

1. Given two distributions which admit moments of all orders, if all the moments of two distributions are the same, then are they identical distributions a.e.?
2. Given two distributions which admit moment generating functions, if they have the same moments, are their moment generating functions the same?

Thanks!