{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T00:26:48Z","timestamp":1770337608572,"version":"3.49.0"},"reference-count":38,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,2,9]],"date-time":"2024-02-09T00:00:00Z","timestamp":1707436800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Statistical predictive analysis is a very useful tool for predicting future observations. Previous literature has addressed both Bayesian and non-Bayesian predictive distributions of future statistics based on past sufficient statistics. This study focused on evaluating Bayesian and Wald predictive-density functions of a future statistic V based on a past sufficient statistic W obtained from a normal distribution. Several divergence measures were used to assess the closeness of the predictive densities to the future density. The difference between these divergence measures was investigated, using a simulation study. A comparison between the two predictive densities was examined, based on the power of a test. The application of a real data set was used to illustrate the results in this article.<\/jats:p>","DOI":"10.3390\/sym16020212","type":"journal-article","created":{"date-parts":[[2024,2,9]],"date-time":"2024-02-09T09:04:01Z","timestamp":1707469441000},"page":"212","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Statistical Inference of Normal Distribution Based on Several Divergence Measures: A Comparative Study"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8873-031X","authenticated-orcid":false,"given":"Suad","family":"Alhihi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Al-Balqa Applied University, Alsalt 19117, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7535-4135","authenticated-orcid":false,"given":"Maalee","family":"Almheidat","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Petra, Amman 11196, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8520-021X","authenticated-orcid":false,"given":"Ghassan","family":"Abufoudeh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Petra, Amman 11196, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4422-2719","authenticated-orcid":false,"given":"Raed","family":"Abu Awwad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Petra, Amman 11196, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8847-9519","authenticated-orcid":false,"given":"Samer","family":"Alokaily","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Petra, Amman 11196, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0409-4978","authenticated-orcid":false,"given":"Ayat","family":"Almomani","sequence":"additional","affiliation":[{"name":"Department of Statistics, Yarmouk University, Irbid 21163, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1093\/biomet\/62.3.547","article-title":"Goodness of prediction fit","volume":"62","author":"Aitchison","year":"1975","journal-title":"Biometrika"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Aitchison, J., and Dunsmore, I. 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