| Titre : | Application of records statistics |
| Auteurs : | Rayane Gasmi, Auteur ; Nour Elhouda Zouaoui, 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, 2024 |
| Format : | 1 vol. (44 p.) / couv. ill. en coul / 30cm |
| Langues: | Anglais |
| Résumé : |
Record statistics is a broad term; it can refer to various types of statistical information related to records. In a general sense, record statistics could involve analyzing and presenting data related to records. The subject of the study is to introduce the concept of record as applied to probability distribution function and present some their characterization results based on the records values. In addition, we discuss the problem of estimation of the location and scale parameters in Best Linear Unbiased Estimator (BLUE) and how applied it in both different types of records with differents distributions functions. |
| Sommaire : |
Acknowledgements ii Abstract iii Notations and symbols iv Table of Contents vi List of figures viii List of tables ix Introduction 1 1 Record statistics 4 1.1 Introdution . . . . . . . . . . . . . . . . . . . 4 1.2 K-Record Statistics . . . . . . . . . . . . . . . . . . .. . . 5 1.2.1 Definition of k-Record Values and k-Record Times . . . . . . . 5 1.2.2 K-Record Probability Density Function . . . . 6 1.3 Ordinary Record Statistics . . . . . . . . . . . . . 11 1.3.1 Record Probability Density Function . . . . . . . . 11 vi 1.4 Record From Specific Continuous Distribution . . . . . . . 16 1.4.1 Weibull Distribution . . . . . . . . . . . . . . 16 1.4.2 Gumbel Distribution . . . . . . . . . . .. 20 1.4.3 Frechet Distribution . . . . . . . 21 2 Power and Exponential distribution: Records application 22 2.1 Power function distribution . . . . . . . . . . . .. . . 22 2.1.1 Characterization . . . . . . . . . . . . 22 2.1.2 Parameters estimator . . . . . . . . . . . . . . 25 2.2 Exponential Distribution . . . . . . . . . . . . . . 33 2.2.1 Characterization . . . . . . . . . . . .. . . 33 2.2.2 Parameters estimator . . . . . . . . . . . . . 35 Conclusion 39 Bibliographie 41 Annexe A: Logiciel R 44 2.3 What is the R language? . . . . .. 44 2.4 R code used at chapter 1 . . . . . . . . 44 vii |
Disponibilité (1)
| Cote | Support | Localisation | Statut |
|---|---|---|---|
| MM/1273 | Mémoire master | bibliothèque sciences exactes | Consultable |
