Exponential family and special entropy relation
| dc.contributor.author | Beirollahi, Arman | |
| dc.date.accessioned | 2024-07-12T20:51:48Z | |
| dc.date.available | 2024-07-12T20:51:48Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In this article ,we derive Taneja’s entropy formula for exponential family so that the derived formula by Menendez (2000) is a special case of it. We will obtain proper Taneja’s entropy formulas for Gamma, Beta and Normal distributions. At last we will review the asymptotic distribution of ³ HT (?ˆ) ? HT (?) ´ in regular exponential models. Let x, ?x, P?, ? ? ? be a statistical space where ? is an open subset of Rm. We consider that there exist p.d.f. f?(x) for the distribution P? with respect to a ?-finite measure µ. In 1975 Taneja introduced the generalized entropy as follows, where either? : [0, ?) ? R is concave and h : R ? R is an increasing and concave or ? is convex and h is a decreasing and concave. Furthermore we assume that h and ? are in C 3 (functions with continuous third derivatives) . If we put?(x) = x r log x andh(x) = ?2 r?1x then the Taneja’s entropy formula is obtained. The exponential family of kparameter distribution is, Theorem: Let f?(x) be a density of the form [1] with R(x) = 0, then, Pasha et. al [1] obtained the formula of divergnce measure by use of Taneja’s entropy in exponential family. | en_US |
| dc.identifier.citation | Beitollahi, A. (2009). Exponential family and special entropy relation. Maltepe Üniversitesi. s. 111. | en_US |
| dc.identifier.endpage | 112 | en_US |
| dc.identifier.isbn | 9.78605E+12 | |
| dc.identifier.startpage | 111 | en_US |
| dc.identifier.uri | https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2474 | |
| dc.institutionauthor | Beirollahi, Arman | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07839 | |
| dc.title | Exponential family and special entropy relation | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
