On a Family of Trimodal Distributions
2014 (English)In: Communications in Statistics - Theory and Methods, ISSN 0361-0926, E-ISSN 1532-415X, Vol. 43, no 14, p. 2886-2896Article in journal (Refereed) Published
Abstract [en]
In this article, a family of trimodal distributions is presented. The distributional properties and some of the inferential aspects of this family of trimodal distributions are discussed. We propose a moment based estimator as well as a maximum likelihood estimator of the parameters. A numerical simulation is conducted to evaluate the finite sample performances of the proposed estimators. A real data example is analyzed for illustration.
Place, publisher, year, edition, pages
Taylor & Francis, 2014. Vol. 43, no 14, p. 2886-2896
Keywords [en]
Trimodal distribution, Unbiased estimators, Moment estimators, Maximum likelihood estimators
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:ltu:diva-90675DOI: 10.1080/03610926.2012.689067ISI: 000337921400003Scopus ID: 2-s2.0-84903472788OAI: oai:DiVA.org:ltu-90675DiVA, id: diva2:1658931
Note
Funder: Scientific and Technology Foundation Funded Project of the Guizhou Province (grant no. [2012]2193); Introduced Talents Scientific Research Foundation Funded Project of Guizhou Minzu University; Key Laboratory of Pattern Recognition and Intelligent System of Construction Project of the Guizhou Province (grant no. [2009]4002); Information Processing and Pattern Recognition for Graduate Education Innovation Base of Guizhou Province; the National Science Foundation of China (grant no. 61263034).
2022-05-182022-05-182022-05-18Bibliographically approved