MGF Statistics

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In this video I provide a full explanation of Moment Generating Functions (MGFs) in 17 minutes.
I Explain the Use of MGFs.
I also provide the Definition of Moment Generating Functions as well as the Uniqueness Theorem.
I discuss the order of the derivatives of the moment generating functions and how they correspond to the same order moments of the distribution.
I also provide derivations and Proofs of the Moment Generating Function of the Sum of Independent Random Variables.
I do all of this with the emphasis of ensuring it is applicable and relevant to the videos found in this playlist as well as your undergraduate statistics courses.
#MGF
#STATS
#MOMENTS
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Your video is still very relevant 2years later ... Highly Appreciated

happygrace_Set_Apart
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Uses of Moment Generating Functions: 0:00
Uniqueness and Definition of MGFs: 2:54
Derivatives of the MGF and their relationship to Moments: 5:12
MGF of the Sum of Independent Random Variables: 6:34
MGF with constants and an example: 11:07

BoerCommander
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