## Statistical measures

### Paweł Domański

#### Abstract

Statistical measures constitute the second major group of the CPA indexes. Control engineer is especially interested in two aspects that might be measured with statistics. It is the variable average value and its variability. Statistical analysis often starts with the evaluation of simple statistics like maximum, minimum, mean, median or standard deviation. On the other hand, the variable histogram gives graphical representation of the of its statical properties. The chapters describes the indexes derived from the normal Gaussian distribution. Nonetheless much attention is put to the non-Gaussian approaches. The rationale for that part comes from the analysis of the real industrial data as they are rarely of normal properties. Fat-tailed stable probabilistic density functions are discussed in details as they deliver good and robust scale factors. The chapter finishes with the short presentation of the robust statistics data are very useful in the CPA task.

Author | |

Pages | 53-74 |

Book | Domański Paweł: Control Performance Assessment: Theoretical Analyses and Industrial Practice, 2020, Springer, ISBN 978-3-030-23592-5, 367 p., DOI:10.1007/978-3-030-23593-2 |

DOI | DOI:10.1007/978-3-030-23593-2_4 |

Language | en angielski |

Score (nominal) | 20 |

Score source | publisherList |

Score | = 20.0, 27-08-2020, MonographChapterAuthor |

Publication indicators | = 1 |

Citation count* |

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.

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