Frederik Michel Dekking, Cornelis Kraaikamp, Hendrik Paul's A Modern Introduction to Probability and Statistics: PDF

By Frederik Michel Dekking, Cornelis Kraaikamp, Hendrik Paul Lopuhaä, Ludolf Erwin Meester (auth.)

ISBN-10: 1846281687

ISBN-13: 9781846281686

ISBN-10: 1852338962

ISBN-13: 9781852338961

Probability and information are studied by means of so much technological know-how scholars, often as a moment- or third-year direction. Many present texts within the sector are only cookbooks and, accordingly, scholars have no idea why they practice the tools they're taught, or why the tools paintings. The power of this e-book is that it readdresses those shortcomings; through the use of examples, frequently from real-life and utilizing genuine facts, the authors can exhibit how the basics of probabilistic and statistical theories come up intuitively. It offers a attempted and confirmed, self-contained path, that could even be used for self-study.

A smooth advent to likelihood and facts has quite a few speedy routines to provide direct suggestions to the scholars. moreover the e-book includes over 350 routines, half that have solutions, of which part have complete ideas. an internet site at www.springeronline.com/1-85233-896-2 provides entry to the knowledge records utilized in the textual content, and, for teachers, the remainder options. the single pre-requisite for the e-book is a primary path in calculus; the textual content covers general information and likelihood fabric, and develops past conventional parametric versions to the Poisson approach, and directly to necessary glossy tools equivalent to the bootstrap.

This should be a key textual content for undergraduates in laptop technological know-how, Physics, arithmetic, Chemistry, Biology and enterprise reports who're learning a mathematical data path, and likewise for extra extensive engineering records classes for undergraduates in all engineering subjects.

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Additional info for A Modern Introduction to Probability and Statistics: Understanding Why and How

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An or an infinite number of values a1 , a2 , . . 2. Two throws with a die and the corresponding maximum. ω1 ω2 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 2 2 3 4 5 6 3 3 3 4 5 6 4 4 4 4 5 6 5 5 5 5 5 6 6 6 6 6 6 6 In a way, a discrete random variable X “transforms” a sample space Ω to a ˜ whose events are more directly related to more “tangible” sample space Ω, what you are interested in. For instance, S transforms Ω = {(1, 1), (1, 2), . . , ˜ = {2, . . , 12}, and M transforms Ω to (1, 6), (2, 1), .

Since the words dependence and independence have several meanings, one sometimes uses the terms stochastic or statistical dependence and independence to avoid ambiguity. 1 (Physical and stochastic independence). Stochastic dependence or independence can sometimes be established by inspecting whether there is any physical dependence present. The following statements may be made. If events have to do with processes or experiments that have no physical connection, they are always stochastically independent.

0 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 k a Fig. 2. Probability mass function and distribution function of the Bin (10, 14 ) distribution. 4 The geometric distribution 49 decided to become pregnant. We model the number of cycles up to pregnancy by a random variable X. Assume that the probability that a woman becomes pregnant during a particular cycle is equal to p, for some p with 0 < p ≤ 1, independent of the previous cycles.

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A Modern Introduction to Probability and Statistics: Understanding Why and How by Frederik Michel Dekking, Cornelis Kraaikamp, Hendrik Paul Lopuhaä, Ludolf Erwin Meester (auth.)


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