Probability with statistical applications / Rinaldo B. Schinazi.
Schinazi, Rinaldo B. (Rinaldo Bruno)
2022
QA273
Available Online

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Title Probability with statistical applications / Rinaldo B. Schinazi.
Author Schinazi, Rinaldo B. (Rinaldo Bruno)
Edition 3rd ed.
ISBN 9783030936358 (electronic bk.)
303093635X (electronic bk.)
9783030936341
3030936341
DOI https://doi.org/10.1007/978-3-030-93635-8
Imprint Cham, Switzerland : Birkhäuser, 2022.
Language English
Description 1 online resource (354 pages)
Other Standard Identifiers 10.1007/978-3-030-93635-8 doi
Call Number QA273
Dewey Decimal Classification 519.2
Summary This textbook, now in its third edition, offers a practical introduction to probability with statistical applications, covering material for both a first and second undergraduate probability course. The author focuses on essential concepts that every student should thoroughly understand. The content is organized into brief, easy-to-follow chapters, motivated by plenty of examples. The first part of the book focuses on classical discrete probability distributions, then goes on to study continuous distributions, confidence intervals, and statistical tests. The following section introduces more advanced concepts suitable for a second course in probability, such as random vectors and sums of random variables. The last part of the book is dedicated to mathematical statistics concepts such as estimation, sufficiency, Bayes' estimation, and multiple regression. This third edition includes a new chapter on combinatorics and a more distinct separation between discrete and continuous distributions. Some of the longer chapters in the previous editions have been divided into shorter chapters to allow for more flexible teaching. Probability with Statistical Applications, Third Edition is intended for undergraduate students taking a first course in probability; later chapters are also suited for a second course in probability and mathematical statistics. Calculus is the only prerequisite; prior knowledge of probability is not required.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 7, 2022).
Available in Other Form Probability with Statistical Applications.
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Probability Space
Conditional probabilities
Discrete random variables
Binomial random variables
Poisson random variables
Simulations of discrete random variables
Combinatorics
Continuous random variables
The sample average and sample
Estimating and testing proportions
Estimating and testing means
Small samples
Chi-squared tests
Design of experiments
The cumulative distribution function
Continuous joint distributions
Covariance and independence
Conditional distribution and expectation
The bivariate normal distribution
Sums of Bernoulli random variables
Coupling random variables
The moment generating function
The chi-squared, Student and F distributions
Sampling from a normal distribution
Finding estimators
Comparing estimators
Best unbiased estimators
Bayes' estimator
Multiple linear regression
List of common discrete distributions
List of common continuous distributions
Further reading
Normal table
Student table
Chi-squared table
Index.

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