Expectation and its Applications

G. Barrie Wetherill
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G. Barrie Wetherill: Bath University of Technology

Chapter Chapter Three in Elementary Statistical Methods, 1972, pp 79-100 from Springer

Abstract: Abstract In Chapter 1 we explained that a given set of data is sometimes described by the full frequency table, or histogram, while in other cases we calculate one or two summarizing statistics which express the main aspects of the data in one or two numbers. One of these summarizing statistics is usually some kind of average, and another a measure of dispersion. In Chapter 2 we have described a probability distribution as a limiting form of relative frequency table, and in the same way, therefore, we can either work with the whole probability distribution, or else work with summarizing quantities. The analogous quantity the sample mean is called the expectation in populations. In the development of statistical methods in the later part of this book, this concept is used repeatedly.

Keywords: Sample Variance; Independent Random Variable; Surface Preparation; Rockwell Hardness; Sampling Operation (search for similar items in EconPapers)
Date: 1972
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DOI: 10.1007/978-1-4899-3288-4_3

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