On General Exponential Weight Functions and Variation Phenomenon
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | On General Exponential Weight Functions and Variation Phenomenon |
| Type de publication | Journal Article |
| Year of Publication | Submitted |
| Auteurs | Kokonendji CC, Toure AY, Abid R |
| Journal | SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY |
| Type of Article | Article; Early Access |
| ISSN | 0976-836X |
| Mots-clés | Dual distribution, equi-variation, exponential dispersion models, exponential distribution, life distribution, over-variation, reliability, under-variation, weighted distribution |
| Résumé | General weighted exponential distributions including modified exponential ones are widely used with great ability in statistical applications, particularly in reliability. In this paper, we investigate full exponential weight functions and their extensions from any nonnegative continuous reference weighted distribution. Several properties and their connections with the recent variation phenomenon are then established. In particular, characterizations, weightening operations and dual distributions are set forward. Illustrative examples and concluding remarks are extensively discussed. |
| DOI | 10.1007/s13171-020-00226-z |