An Introduction to Probability Theory and Its Applications, - download pdf or read online

By William Feller

ISBN-10: 0471257117

ISBN-13: 9780471257110

In the event you might purely ever purchase one booklet on likelihood, this might be the one!

Feller's dependent and lateral method of the basic components of chance conception and their program to many different and it sounds as if unrelated contexts is head-noddingly inspiring.

Working your approach via the entire workouts within the publication will be a great retirment diversion absolute to stave off the onset of dementia.

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Extra resources for An Introduction to Probability Theory and Its Applications, Vol. 1 (v. 1)

Example text

Frauen ................................................. ... .. ... ..................................................................................... ... .. .. ... 160 170 180 190 200 K¨ orpergr¨ oße [in cm] A 4 Klassierte Daten und Histogramm Zentraler Aspekt dieses Abschnitts sind Methoden zur (grafischen) Aufbereitung quantitativer Daten, die auf einer Klassierung der Urliste beruhen.

Fl¨acheninhalt des Rechtecks der Klasse Kj = cbj hj = cf(Kj ). Dies ist beispielsweise dann der Fall, wenn an Stelle der relativen Klassenh¨aufigkeiten f(Kj ) in der Definition der H¨ ohen der Rechtecke die absoluten Klassenh¨aufigkeiten n(Kj ) verwendet werden (Proportionalit¨atsfaktor c = n). h. die zu visualisierenden Gr¨oßen (in diesem Fall die H¨aufigkeiten) werden im Diagramm proportional zu einer Fl¨ache dargestellt. Hierdurch unterscheidet sich das Histogramm von Diagrammformen wie dem Stab- oder S¨aulendiagramm, in denen die relevanten Informationen durch H¨ ohen beschrieben werden.

Aufgrund der Ordnungseigenschaft ordinaler Daten kann insbesondere von einem Zentrum“ in der Urliste gesprochen werden, so dass es ” sinnvoll ist, Kenngr¨ oßen zu konstruieren, die dieses Zentrum beschreiben. B. der Median) werden auch Maße der zentralen Tendenz“ ” genannt. Ein Beobachtungswert wird als Median x bezeichnet, wenn er die folgende Eigenschaft besitzt: Mindestens 50% aller Beobachtungswerte sind kleiner oder gleich x und mindestens 50 % aller Beobachtungswerte sind gr¨oßer oder gleich x.

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An Introduction to Probability Theory and Its Applications, Vol. 1 (v. 1) by William Feller


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