A new class of probability distributions via cosine and sine functions with applications - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2017

A new class of probability distributions via cosine and sine functions with applications

Résumé

In this paper, we introduce a new class of (probability) distributions, based on a cosine-sine transformation , obtained by compounding a baseline distribution with cosine and sine functions. Some of its properties are explored. A special focus is given to a particular cosine-sine transformation using the exponential distribution as baseline. Estimations of parameters of a particular cosine-sine exponential distribution are performed via the maximum likelihood estimation method. A complete simulation study investigates the performances of these estimates. Applications are given for four real data sets, showing a better fit in comparison to some existing distributions based on some of goodness-of-fit tests.
Fichier principal
Vignette du fichier
New version of CS paper 23 July.pdf (823.27 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01569293 , version 1 (26-07-2017)

Identifiants

  • HAL Id : hal-01569293 , version 1

Citer

Christophe Chesneau, Hassan S Bakouch, Tassaddaq Hussain. A new class of probability distributions via cosine and sine functions with applications. 2017. ⟨hal-01569293⟩
131 Consultations
3347 Téléchargements

Partager

More