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Samenvatting Kansrekenen En Beschrijvende Statistiek (D0H41a) + oplossinhen van alle oefeningen en de te kennen bewijzen opgelijst $5.78   Add to cart

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Samenvatting Kansrekenen En Beschrijvende Statistiek (D0H41a) + oplossinhen van alle oefeningen en de te kennen bewijzen opgelijst

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volledige samenvatting met schematische overzichten van de verschillende kansvariabelen + opgeloste oefeningen een lijst van de te kennen bewijzen

Last document update: 2 year ago

Preview 3 out of 99  pages

  • January 16, 2022
  • January 19, 2022
  • 99
  • 2021/2022
  • Summary

3  reviews

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By: rosaliedeschrijver • 3 months ago

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By: juicypeelaers • 10 months ago

Translated by Google

In my opinion, the chapters are too short, there is a lot of info that could be conveniently omitted

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By: matthiasvanlishout • 2 year ago

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- evidence to be known but until hfsk 3 - not all solutions of all exercises

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KANSREKENEN EN BESCHRIJVENDE
STATISTIEK




Elise Hendriks
KU LEUVEN 2021-2022

,INHOUDSOPGAVE

Hoofdstuk 1: kansrekenen .................................................................................................................................. 3
1.1 definities, symbolen en begrippen .............................................................................................................................. 3
1.2 eigenschappen van een kansruimte ............................................................................................................................ 3
1.3 uniforme kansruimten ................................................................................................................................................... 4
1.4 voorwaardelijke kans ................................................................................................................................................... 4
1.5 onafhankelijke gebeurtenissen .................................................................................................................................... 5

Hoofdstuk 2: toevalsveranderlijken ................................................................................................................... 6
2.1 toevalsveranderlijke of stochastische waarde ................................................................................................................. 6
2.2 – 2.3 discrete en continue toevalsveranderlijken ............................................................................................................ 6
2.4 gemengde toevalsveranderlijken ...................................................................................................................................... 7
2.5 verwachte waarde en variantie ......................................................................................................................................... 7
2.6 Ongelijkheid van Markov en Chebyshev ......................................................................................................................... 7
2.7 De coëfficiënt van variatie:................................................................................................................................................ 8
2.8 Hogere orde momenten:..................................................................................................................................................... 8
2.9 Scheefheid van een verdeling:........................................................................................................................................... 8
2.10 momentvoortbrengende functie ...................................................................................................................................... 8
2.11 verwachte waarden en kwantielen .................................................................................................................................. 8

hoofdstuk 3: kansmodel ..................................................................................................................................... 9
3.1 basisprocessen...................................................................................................................................................................... 9
3.2 Discrete kansmodellen....................................................................................................................................................... 10
3.3 continue kansmodellen ...................................................................................................................................................... 11
3.4 TRANSFORMATIES VAN TOEVALSVERANDERLIJKEN ............................................................................................... 13

hoofdstuk 4: toevalsvectoren ........................................................................................................................... 14
4.1 gezamenlijke kansmassa, kansdichtheid en kansverdeling .......................................................................................... 14
4.2 marginale kansverdelingen .............................................................................................................................................. 15
4.3 voorwaardelijke kansverdelingen ................................................................................................................................... 15
4.4 onafhankelijkheid .............................................................................................................................................................. 16
4.5 verwachtingswaarden bij toevalsvectoren ..................................................................................................................... 16
4.6 transformatie van toevalsvectoren .................................................................................................................................. 17
4.7 voorwaardelijke verwachting .......................................................................................................................................... 18
4.8 multivariate normale verdeling ....................................................................................................................................... 18

hoofdstuk 5: limietstelling (zie boek) ............................................................................................................... 19

hoofdstuk 6: beschrijvende statistiek ............................................................................................................... 19
6.1 inleiding .............................................................................................................................................................................. 19

, 6.2 indeling van gegevens ...................................................................................................................................................... 19
6.3 grafische methoden en tabellen....................................................................................................................................... 19
6.4 beschrijvende kengetallen van een steekproef .............................................................................................................. 20

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