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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Erhard Godehardt |

ISBN: | 9783322963109 3322963101 |

OCLC Number: | 851823365 |

Description: | 1 online resource (x, 214 pages). |

Contents: | 0 Mathematical Symbols and Notation -- 1 Introduction, Basic Concepts -- 1.1 Modelling in Medicine and Biology -- 1.2 Graphs as Tools in Mathematical Modelling -- 1.3 The Scope of Exploratory Data Analysis -- 1.4 The Basic Concepts of Cluster Analysis -- 2 Current Methods of Cluster Analysis: An Overview -- 2.1 The Aim of Cluster Analysis -- 2.2 The Different Steps of a Cluster Analysis -- 2.3 A Short Review of Classification Methods -- 2.4 Preparation and Presentation of Results -- 3 Graph-theoretic Methods of Cluster Analysis -- 3.1 Classification by Graphs -- 3.2 Classifications by Multigraphs -- 3.3 An Algorithm for the Construction of (% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaWGRbGaaiilaiqadsgagaWca8aadaahaaWcbeqaa8qacaWGubaa % aOGaai4oaiaadohaaaa!3B95! $$k, {\vec d̂T};s$$)-Clusters -- 3.4 The Construction of Dendrograms of (k; s)-Clusters -- 4 Probability Models of Classification -- 4.1. Current Probability Models in Cluster Analysis -- 4.2. Graph-Theoretic Models of Classification -- 4.3. Discussion of the Graph-Theoretic Probability Models -- 5 Probability Theory of Completely Labelled Random Multigraphs -- 5.1 Definitions and Notation -- 5.2 A Probability Model of Random Multigraphs -- 5.3 Some Results for Random Graphs?nN and Gnp -- 5.4 Limit Theorems for Random Multigraphs -- 5.5 Discussion of the Results -- 5.6 Hints for the Numerical Computation of the Expectations and Distributions -- 6 Classifications by Multigraphs: Three Examples from Medicine -- 6.1 Pharmacokinetics of Urapidil in Patients with Normal and Impaired Renal Function -- 6.2 Pharmacokinetics of Lidocaine in Patients with Kidney or Liver Impairments -- 6.3 Pregnancy-Induced Hypertension. |

Series Title: | Advances in system analysis. |

Responsibility: | by Erhard Godehardt. |

### Abstract:

The advent of the high-speed computer with its enormous storage capabilities enabled statisticians as well as researchers from the different topics of life sciences to apply mul- tivariate statistical procedures to large data sets to explore their structures.
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