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Classification Ratemaking
Valášková, Zuzana ; Mazurová, Lucie (vedoucí práce) ; Mandl, Petr (oponent)
In the present work we will study methods, which are used to find a premium in nonlife insurance according to the grouping risks into the risk groups. These risk groups are constructed according to the concrete indices. All work consists of the three main sections. At the end you can find example, where all methods are applied. First section explains the basic methods which can be used in ratemaking: the weighted least square method, the method of marginal totals and the method of Bailey - Simon. The second section studies more sophisticated method for ratemaking: The generalized linear models. The third section studies the credibility estimations used in ratemaking, which are important and used today.
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Unfair Ballots
Valášková, Zuzana ; Hlubinka, Daniel (vedoucí práce) ; Lachout, Petr (oponent)
OBSAH Nazov prace: Nespravodlivc losovanie Antor: Zuzana Valaskova Katedra: Katedra pravdepodobnosti a matematicke statistiky Veduci bakalarskej prace: R.NDr.Daniel Hlnbinka, Ph.D. e-mail veduceho pracc: hluhu]k;i:'"Jkarlm.mif.cuni.cz Abstrakt: V predlozencj praci studujem otazku ncspravodliveho losovania, ktorn som sku- mala prostrednictvom silneho nastroja, testovania hypotez. Na zaciatku som sa zaoberala najdenim vhodnej nahodnej veliciny. ktora by iiam umoznila jedno- duchym sposobom rozrieait! povodnu otazkn spravodlivosti losovania. Zaoberala som sa otazkou randomizovanych a nerandomizovanych testov. V praci su okrein ineho nvedenc iri vzorove priklady s podrobnyrn riescnim. Vo vsetkych jc nvedena aplikacia randoinizovaneho i nerondomizovaneho testu. Prvy ilustruje prave take losovaiiie, u ktoreho neniame dostatocne dovody na pochybovanie o spravodlivosti celeho losovania, v drnhoni priklade je uvedeny typicky pri[)ad ncspravodliveho losovania a v l.rel'oTn je uvedeny pripa.fi. kedy t,(^sty nedavaju rovnake vyskxlky. Prilohu tvori zdrojovy text nnmerickych vypoctov v Mathernatice. Kmmve slova: losovanie, sf>rav(>dlivost'.tnst Title: Unfair Ballots Author: Zuzana Valaskova Department: Department of Probability and Mathematical Statistics Supervisor: RNDr.Daniel Illubinka, Ph.D. Supervisor's e-mail...
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Unfair Ballots
Valášková, Zuzana ; Lachout, Petr (oponent) ; Hlubinka, Daniel (vedoucí práce)
OBSAH Nazov prace: Nespravodlivc losovanie Antor: Zuzana Valaskova Katedra: Katedra pravdepodobnosti a matematicke statistiky Veduci bakalarskej prace: R.NDr.Daniel Hlnbinka, Ph.D. e-mail veduceho pracc: hluhu]k;i:'"Jkarlm.mif.cuni.cz Abstrakt: V predlozencj praci studujem otazku ncspravodliveho losovania, ktorn som sku- mala prostrednictvom silneho nastroja, testovania hypotez. Na zaciatku som sa zaoberala najdenim vhodnej nahodnej veliciny. ktora by iiam umoznila jedno- duchym sposobom rozrieait! povodnu otazkn spravodlivosti losovania. Zaoberala som sa otazkou randomizovanych a nerandomizovanych testov. V praci su okrein ineho nvedenc iri vzorove priklady s podrobnyrn riescnim. Vo vsetkych jc nvedena aplikacia randoinizovaneho i nerondomizovaneho testu. Prvy ilustruje prave take losovaiiie, u ktoreho neniame dostatocne dovody na pochybovanie o spravodlivosti celeho losovania, v drnhoni priklade je uvedeny typicky pri[)ad ncspravodliveho losovania a v l.rel'oTn je uvedeny pripa.fi. kedy t,(^sty nedavaju rovnake vyskxlky. Prilohu tvori zdrojovy text nnmerickych vypoctov v Mathernatice. Kmmve slova: losovanie, sf>rav(>dlivost'.tnst Title: Unfair Ballots Author: Zuzana Valaskova Department: Department of Probability and Mathematical Statistics Supervisor: RNDr.Daniel Illubinka, Ph.D. Supervisor's e-mail...
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Classification Ratemaking
Valášková, Zuzana ; Mandl, Petr (oponent) ; Mazurová, Lucie (vedoucí práce)
In the present work we will study methods, which are used to find a premium in nonlife insurance according to the grouping risks into the risk groups. These risk groups are constructed according to the concrete indices. All work consists of the three main sections. At the end you can find example, where all methods are applied. First section explains the basic methods which can be used in ratemaking: the weighted least square method, the method of marginal totals and the method of Bailey - Simon. The second section studies more sophisticated method for ratemaking: The generalized linear models. The third section studies the credibility estimations used in ratemaking, which are important and used today.
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