Multivariate Statical Analysis

Multivariate Statical Analysis Course Slides Notes

1. sample space & stats

1.1. important stats

1.1.1. sample mean

  • Def: sample mean

1.1.2. sample A

  • Def:

1.1.3. sample correlation

  • Def: sample correlation

1.1.4. sample coefficient

  • Def:

2. useful distributions

2.1. gaussian

  • Def: multi-Gaussian

    • Qua: single =>

2.1.1. distribution

  • Def: distribution

    • Qua: operation

    • Qua: operation

2.1.1.1. transformation

  • Qua: 1

  • Qua: 2

  • Qua:

  • Qua:

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2.1.2. special function

  • Def: expectation

  • Def: charc

2.1.3. independence

  • Theorem: of a vector

    • Corollary:

2.1.4. conditional

  • Def: conditional pdf

    • Corollary:

2.1.5. stats & estimations

2.1.5.1. stats

2.1.5.1.1. sample mean & variation
  • Theorem :

2.1.5.1.2. sample

2.1.5.2. estimations

  • Qua: =>

  • Theorem:

2.2. Wishart

  • Def:

2.2.1. distribution

2.2.1.1. tranformation

  • Qua:

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2.2.2. special function

  • Def:

2.3. \(T^2\)

  • Def:

2.3.1. distribution

2.3.1.1. transformation

  • Qua:

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2.4. Wilks

  • Def:

2.4.1. distribution

2.4.1.1. tranformation

  • Qua:

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3. parameter estimation

4. hypothesis test

P67

Title:Multivariate Statical Analysis

Author:Benson

PTime:2019/11/19 - 12:11

LUpdate:2020/04/03 - 21:04

Link:https://steinsgate9.github.io/2019/11/19/multivariate-statical-analysis/

Protocal: Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) Please keep the original link and author.