학술논문

The exponential generalized log-logistic model: Bagdonavi\v{c}% ius-Nikulin test for validation and non-Bayesian estimation methods
Document Type
Article
Source
Communications for Statistical Applications and Methods, 29(1), pp.1-25 Jan, 2022
Subject
통계학
Language
English
ISSN
2287-7843
Abstract
A modified Bagdonavi\v{c}ius-Nikulin chi-square goodness-of-fit is defined and studied. The lymphoma data is analyzed using the modified goodness-of-fit test statistic. Different non-Bayesian estimation methods under complete samples schemes are considered, discussed and compared such as the maximum likelihood least square estimation method, the Cramer-von Mises estimation method, the weighted least square estimation method, the left tail-Anderson Darling estimation method and the right tail Anderson Darling estimation method. Numerical simulation studies are performed for comparing these estimation methods. The potentiality of the new model is illustrated using three real data sets and compared with many other well-known generalizations.