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2013 | OriginalPaper | Buchkapitel

5. Probability Concepts and Their Analysis

verfasst von : Cheng-Few Lee, John C. Lee, Alice C. Lee

Erschienen in: Statistics for Business and Financial Economics

Verlag: Springer New York

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Abstract

In Part I of this book, we discussed the use of descriptive statistics, which is concerned mainly with organizing and describing a set of sample measurements via graphical and numerical descriptive methods. We now begin to consider the problem of making inferences about a population from sample data. Probability and the theory that surrounds it are discussed in this chapter. These topics provide an essential foundation for the methods of making inferences about a population on the basis of a sample. A well-known example is the election poll, in which pollsters select at random a small number of voters to question in order to predict the winner of an election. Probability is also used in daily decision making. For example, investment decisions are based on the investor’s assessment of the probable future returns of various investment opportunities, and such assessments are often based on some sample information.

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Fußnoten
1
This set of data was generated by the Bernoulli process, which will be discussed in the next chapter.
 
2
This is equivalent to randomly drawing a card from the deck and finding that it is a spade.
 
3
This theorem is attributed to an English clergyman, the Reverend Thomas Bayes (1702–1761).
 
4
The Treasury bill rate was discussed in Chaps.​ 2 and 3.
 
5
The risk premium is the portion of the interest rate that is above the Treasury bill rate. This additional amount of interest is paid to compensate the lender for the risk it runs in making the loan.
 
6
We treat x as a measure of central tendency, as discussed in the last chapter. Alternatively, it can be treated as the expected value of a discrete random variable (lending rate), which will be discussed in Sect. 6.​3.
 
Metadaten
Titel
Probability Concepts and Their Analysis
verfasst von
Cheng-Few Lee
John C. Lee
Alice C. Lee
Copyright-Jahr
2013
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-5897-5_5