The Unit Teissier Distribution and Its Applications

Mathematical and Computational Applications

卷:27

Anuresha Krishna¹  Muhammed Rasheed Irshad¹  Radhakumari Maya²  Christophe Chesneau³ 

[1] Department of Statistics, Cochin University of Science and Technology, Cochin 682022, Kerala, India;

[2] Department of Statistics, Government College for Women, Trivandrum 695014, Kerala, India;

[3] Laboratoire de Mathématiques Nicolas Oresme (LMNO), Université de Caen Normandie, Campus II, Science 3, 14032 Caen, France;

关键词: Teissier distribution;    unit Teissier distribution;    Lambert W function;    entropy;    extropy;    simulation;   

DOI  :  10.3390/mca27010012

来源: DOAJ

【 摘 要 】

A bounded form of the Teissier distribution, namely the unit Teissier distribution, is introduced. It is subjected to a thorough examination of its important properties, including shape analysis of the main functions, analytical expression for moments based on upper incomplete gamma function, incomplete moments, probability-weighted moments, and quantile function. The uncertainty measures Shannon entropy and extropy are also performed. The maximum likelihood estimation, least square estimation, weighted least square estimation, and Bayesian estimation methods are used to estimate the parameters of the model, and their respective performances are assessed via a simulation study. Finally, the competency of the proposed model is illustrated by using two data sets from diverse fields.

【 授权许可】

Unknown