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# Lecture_2 - What is Mathematical Statistics Probability...

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What is Mathematical Statistics & Probability ?

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Descriptive Statistics 2
Mathematical Statistics Stat 1008 equipped you with a set of descriptive tools which helped you understand a restricted class of data structures. In a sense these tools were presented in the form of a black box. What lies within is called Mathematical Statistics and at the heart of it lies the dark art of Probability. 3

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Theory vs Reality Models are an idealised representation of reality Statisticians use models to approximate reality Unlike the magazines, the best statistical model is one which approximates reality the closest but don’t forget they are still idealised representations of the real world! Statistical tests and statistical models are constructed from tools developed in Probability Theory and Mathematical Statistics Mathematical Statistics deals with the theoretical world rather than with reality, thus this course does not concern itself with data but rather the mathematics that underlies each theory. 4
Model vs Reality 5

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Photoshop that data 6
Models=Smoothness=Perfection 7

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But when you zoom into reality 8
It looks kind of jagged 9

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And the closer you look 10
The more imperfections you will find 11

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Theory is perfection because we have created it So in this course we are only going to mix with the beautiful people 12
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