Download e-book for iPad: An introduction to probability theory and its applications by William Feller

By William Feller

***** foreign version *****

Show description

Read or Download An introduction to probability theory and its applications PDF

Best probability books

Meta analysis : a guide to calibrating and combining by Elena Kulinskaya PDF

Meta research: A consultant to Calibrating and mixing Statistical Evidence acts as a resource of uncomplicated equipment for scientists desirous to mix facts from diverse experiments. The authors objective to advertise a deeper figuring out of the inspiration of statistical facts. The publication is made from elements – The instruction manual, and the idea.

New PDF release: Eins zu Tausend: Die Geschichte der

Von Würfeln, Spielkarten und geworfenen Münzen bis hin zu Börsenkursen, Wettervorhersagen und militärischen Manövern: Überall im Alltag spielt die Wahrscheinlichkeitsrechnung eine wichtige Rolle. Während die einen auf ihr Bauchgefühl vertrauen, versuchen andere, dem Zufall systematisch beizukommen. Die Autoren enthüllen die Rätsel und Grundlagen dieser spannenden Wissenschaft, gespickt mit vielen Anekdoten und den schillernden Geschichten derjenigen, die sie vorangebracht haben: Carl Friedrich Gauß, Florence Nightingale, Blaise Pascal und viele andere.

Extra info for An introduction to probability theory and its applications

Sample text

A party of six people goes to the theatre. In how many ways may they be seated in six adjacent seats? 3. Suppose three men and three women from a singles club are to be seated in the six seats of exercise 2 in such a way that two people of the same sex never sit next to each other. In how many ways can this be done? 4. Suppose I have seven adjacent spaces and I want to fill the spaces with the letters H and T such that I write the letter H four times and the letter T three times. How many distinguishable patterns can be formed in this way?

A symmetry is now apparent in this model: any ordered pair with R as the first coordinate corresponds to an ordered pair with R in the second coordinate by interchanging the first and second coordinates. The number of outcomes in the events Al and A2 are therefore the same, and so we should not now find it surprising that they have the same probability. This way of thinking about the problem also shows that we should expect the same phenomenon at the nth selection if there are enough balls in the urn to make n selections, that is, the probability of selecting a red ball at selection n is still a / (a + b).

The Bayesian views P{A) on the right as an original or prior subjective probability, and the conditional probability on the left as the updated, or posterior, version of this subjective probability using the additional information supplied by B. The main criticisms of the Bayesian approach concern the need for assuming the prior probability distribution and the method of determining it. On the other hand, those who want to stick with repeatable events and relative frequencies can also be criticized for unnecessarily restricting the notion of probability.

Download PDF sample

An introduction to probability theory and its applications by William Feller

by Mark

Rated 4.48 of 5 – based on 11 votes