### Abstract

In Chap. 2, we discussed the basic concepts of probability, discrete and continuous random variables, univariate and joint probability distributions, conditional probability, and independence. A reasonably complete and self-sustained treatment has been given to these topics, which form a theoretical basis for practical statistical data analysis. This chapter discusses statistical analysis based on available sample data. Specifically, it introduces statistical procedures to determine an appropriate probability distribution for a random variable based on a limited set of sample data. Reliability analysis that will be discussed in subsequent chapters often requires these procedures. In this chapter, discussion of statistical data analysis will be separately conducted on two different branches of techniques: (i) conventional statistical methods (graphical methods and statistical hypothesis tests) and (ii) Bayesian statistics.

Original language | English (US) |
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Title of host publication | Springer Series in Reliability Engineering |

Publisher | Springer London |

Pages | 53-81 |

Number of pages | 29 |

DOIs | |

State | Published - Jan 1 2019 |

### Publication series

Name | Springer Series in Reliability Engineering |
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ISSN (Print) | 1614-7839 |

ISSN (Electronic) | 2196-999X |

### Fingerprint

### ASJC Scopus subject areas

- Safety, Risk, Reliability and Quality

### Cite this

*Springer Series in Reliability Engineering*(pp. 53-81). (Springer Series in Reliability Engineering). Springer London. https://doi.org/10.1007/978-3-319-92574-5_3

**Statistical data analysis.** / Hu, Chao; Youn, Byeng D.; Wang, Pingfeng.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Springer Series in Reliability Engineering.*Springer Series in Reliability Engineering, Springer London, pp. 53-81. https://doi.org/10.1007/978-3-319-92574-5_3

}

TY - CHAP

T1 - Statistical data analysis

AU - Hu, Chao

AU - Youn, Byeng D.

AU - Wang, Pingfeng

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In Chap. 2, we discussed the basic concepts of probability, discrete and continuous random variables, univariate and joint probability distributions, conditional probability, and independence. A reasonably complete and self-sustained treatment has been given to these topics, which form a theoretical basis for practical statistical data analysis. This chapter discusses statistical analysis based on available sample data. Specifically, it introduces statistical procedures to determine an appropriate probability distribution for a random variable based on a limited set of sample data. Reliability analysis that will be discussed in subsequent chapters often requires these procedures. In this chapter, discussion of statistical data analysis will be separately conducted on two different branches of techniques: (i) conventional statistical methods (graphical methods and statistical hypothesis tests) and (ii) Bayesian statistics.

AB - In Chap. 2, we discussed the basic concepts of probability, discrete and continuous random variables, univariate and joint probability distributions, conditional probability, and independence. A reasonably complete and self-sustained treatment has been given to these topics, which form a theoretical basis for practical statistical data analysis. This chapter discusses statistical analysis based on available sample data. Specifically, it introduces statistical procedures to determine an appropriate probability distribution for a random variable based on a limited set of sample data. Reliability analysis that will be discussed in subsequent chapters often requires these procedures. In this chapter, discussion of statistical data analysis will be separately conducted on two different branches of techniques: (i) conventional statistical methods (graphical methods and statistical hypothesis tests) and (ii) Bayesian statistics.

UR - http://www.scopus.com/inward/record.url?scp=85049752724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049752724&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-92574-5_3

DO - 10.1007/978-3-319-92574-5_3

M3 - Chapter

AN - SCOPUS:85049752724

T3 - Springer Series in Reliability Engineering

SP - 53

EP - 81

BT - Springer Series in Reliability Engineering

PB - Springer London

ER -