On the Shifted Hybrid Log-Normal Distribution

Autor:	Damodaran Santhamani Shibu, Soman Latha Nitin, Muhammed Rasheed Irshad
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	hybrid log-normal distribution estimation lifetime data fracture toughness data simulation Statistics HA1-4737
Zdroj:	Statistica, Vol 82, Iss 4, Pp 417-431 (2024)
Druh dokumentu:	article
ISSN:	0390-590X 1973-2201
DOI:	10.6092/issn.1973-2201/12904
Popis:	The log-normal distribution is widely used to model positive valued data in many areas of applied research. However, sometimes the log-normal distribution does not completely satisfy the fitting expectations in every real life situations. In this paper, we introduce, investigate, and discuss a more flexible shifted hybrid log-normal distribution for which the log-normal distribution is a special case. Also, various properties, special cases and estimation procedure of the new distribution are discussed. Moreover, the performances of maximum likelihood estimators of the parameters are examined using a brief simulation study. The flexibility and performance of the newdistribution is also illustrated through two applications by fitting two real datasets of different situations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/22c1602743ec42c1a2c4c0d6ee575a9b Zobrazit plný text záznamu View record in DOAJ