| Titre : | Simple and Mixed Censorship |
| Auteurs : | Fatah Benatia, Directeur de thèse |
| Type de document : | Monographie imprimée |
| Editeur : | Biskra [Algérie] : Faculté des Sciences Exactes et des Sciences de la Nature et de la Vie, Université Mohamed Khider |
| Format : | 1 vol. (47 p.) |
| Langues: | Anglais |
| Mots-clés: | Survival function, right censoring, mixed censoring, Kaplan-Meier estimator, Patilea and Rolin estimator. |
| Résumé : |
In this study, the topic of censoring in statistical data was addressed, with the survival function presented as a fundamental tool for analyzing data affected by censoring, particularly in the case of right-censoring. The Kaplan-Meier estimator, widely used for estimating the survival function in right-censored data, was reviewed. However, it was found that this estimator is not suitable for mixed censoring, where data is censored from both sides (left and right). This highlighted the need to introduce the Patilea and Rolin (2006) estimator, which is specifically designed to handle mixed censored data and addresses thelimitations of the previous estimator in this context |
| Sommaire : |
Dedication i Remerciements i Table des matières i Liste des …gures iv Liste des Tables v General Introduction 3 1 A General Notion about Statistics 3 1.1 concepts and de…nitions: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.1 probability space: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.2 Random Variable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.3 statistical distribution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 General Introduction 16 2 Simple Censorship 16 2.1 right censoring: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.2 Left Censoring: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.3 Interval censoring: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.4 Double censoring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.5 Kaplan-Meier Estimator: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 ii 2.6 Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.6.1 Kaplan-Meier estimator of the survival function . . . . . . . . . . . . . . . 27 Table des matières 38 3 Mixed Censorship 38 3.1 De…niton of Mixed censoring : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.2 Patilea and Rolin Estimator: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Table des matières 47 iii |
Disponibilité (1)
| Cote | Support | Localisation | Statut |
|---|---|---|---|
| MM/1350 | Mémoire master | bibliothèque sciences exactes | Consultable |
