Titlebook: Introduction to Probability with Statistical Applications; Géza Schay Textbook 2016Latest edition Springer International Publishing Switze

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https://doi.org/10.1007/978-3-319-30620-9Hypothesis Testing; Normal Distribution; Probability Distribution; Random Variables; Statistical Applica

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Introduction,Probability theory is a branch of mathematics that deals with repetitive events whose occurrence or nonoccurrence is subject to chance variation. Statistics is a related scientific discipline concerned with the gathering, representation, and interpretation of data and with methods for drawing inferences from them.

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Probabilities,We begin our discussion of probabilities with the definition of relative frequency, because this notion is very concrete and probabilities are, in a sense, idealizations of relative frequencies.

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Expectation, Variance, and Moments,Just as probabilities are idealized relative frequencies, so are expected values analogous idealizations of averages of random variables. Before presenting the formal definition, let us consider an example.

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The Elements of Mathematical Statistics,In probability theory, we always assumed that we knew some probabilities, and we computed other probabilities or related quantities from those. On the other hand, in mathematical statistics, we use observed data to compute probabilities or related quantities or to make decisions or predictions.

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Géza SchayIncludes nearly 400 exercises and examples allowing students to internalize new concepts.Theory and applications carefully balanced.Provides a rigorous discussion with carefully motivated definitions,

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