{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,24]],"date-time":"2023-06-24T04:08:05Z","timestamp":1687579685511},"reference-count":1,"publisher":"International Association of Academics","issue":"2","funder":[{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e Tecnologia","award":["UIDB\/00006\/2020"],"award-info":[{"award-number":["UIDB\/00006\/2020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2022,1,18]]},"abstract":"<jats:p xml:lang=\"en\">Gaussian distribution is a common choice when dealing with symmetric data. However, other alternatives must be considered in applications with high tail-weight. One option is the randomization of the scale parameter for the Gaussian distribution, enabling a more flexible model for the tails albeit maintaining symmetry. Although any positive random variable can be used as a random scale parameter, Pareto distribution is a suitable choice in order to increase variance and tail-weight. Therefore, the aim of this work is to study the Pareto randomization of the scale parameter for symmetric distributions, in particular for the Gaussian distribution. Estimation problem is tackled and a simulation study is discussed. Finally, an application  concerning  the directions chosen by ants after a stimulus is provided. The results reveal that the proposed methodology works well both on simulated and real data.<\/jats:p>","DOI":"10.53508\/ijiam.1020679","type":"journal-article","created":{"date-parts":[[2022,1,18]],"date-time":"2022-01-18T11:40:46Z","timestamp":1642506046000},"page":"43-52","source":"Crossref","is-referenced-by-count":0,"title":["Pareto Randomization of the Scaling Parameter for the Gaussian Distribution"],"prefix":"10.53508","volume":"4","author":[{"given":"Miguel","family":"FELGUE\u0130RAS","sequence":"first","affiliation":[{"name":"Polytechnic Institute of Leiria"}]},{"given":"Rui","family":"SANTOS","sequence":"additional","affiliation":[{"name":"ESTG, Polytechnic Institute of Leiria"}]},{"given":"Joao Paulo","family":"MART\u0130NS","sequence":"additional","affiliation":[{"name":"CEAUL, Faculdade de Ciencias, Universidade de Lisboa"}]}],"member":"31564","published-online":{"date-parts":[[2021,12,31]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","unstructured":"Jones, M., Pewsey, A.: A Family of Symmetric Distributions on the Circle. Journal of the American Statistical Association 100, 472, 1422--1428 (2005)","DOI":"10.1198\/016214505000000286"}],"container-title":["International Journal of Informatics and Applied Mathematics"],"original-title":[],"deposited":{"date-parts":[[2023,6,23]],"date-time":"2023-06-23T04:09:42Z","timestamp":1687493382000},"score":1,"resource":{"primary":{"URL":"http:\/\/dergipark.org.tr\/en\/doi\/10.53508\/ijiam.1020679"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,31]]},"references-count":1,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2021,12,31]]}},"URL":"https:\/\/doi.org\/10.53508\/ijiam.1020679","relation":{},"ISSN":["2667-6990"],"issn-type":[{"value":"2667-6990","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,31]]}}}