Geodesic
Inferential results based on Mellin-type statistics for the transmuted inverse Weibull distribution
Filomat, Tome 37 (2023) no. 27, p. 9431

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Different measures of goodness-of-fit provide information to describe how well models fit the data. However, it's important to note that these measures have shown modest growth in comparison to the emergence of probability distribution models. That said, this research constructed qualitative and quantitative fit measures for Transmuted Inverse Weibull distribution. To develop these Goodness-of-Fit measures, we study some properties of that distribution: we present the Mellin Transform, Log-Moments, and Log-Cumulants. Then, we discuss estimation methods for the model's parameters, such as Moments, Maximum Likelihood, and the one based on the Log-Cumulants method. The last method mentioned is proposed to estimate the parameters of the distribution. We make the Log-Cumulants diagrams and construct the confidence ellipses. The model is applied to three survival datasets to verify the quality of our estimation methods and Goodness-of-Fit measures.
DOI : 10.2298/FIL2327431O
Classification : 62Fxx, 63F03, 62F10
Keywords: Parameter Estimation, Log-Cumulants, Goodness-of-Fit, Confidence Ellipse 
Daniel L R Orozco; Josimar M Vasconcelos; Frank Gomes-Silva. Inferential results based on Mellin-type statistics for the transmuted inverse Weibull distribution. Filomat, Tome 37 (2023) no. 27, p. 9431 . doi: 10.2298/FIL2327431O
@article{10_2298_FIL2327431O,
     author = {Daniel L R Orozco and Josimar M Vasconcelos and Frank Gomes-Silva},
     title = {Inferential results based on {Mellin-type} statistics for the transmuted inverse {Weibull} distribution},
     journal = {Filomat},
     pages = {9431 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327431O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327431O/}
}
TY  - JOUR
AU  - Daniel L R Orozco
AU  - Josimar M Vasconcelos
AU  - Frank Gomes-Silva
TI  - Inferential results based on Mellin-type statistics for the transmuted inverse Weibull distribution
JO  - Filomat
PY  - 2023
SP  - 9431 
VL  - 37
IS  - 27
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2327431O/
DO  - 10.2298/FIL2327431O
LA  - en
ID  - 10_2298_FIL2327431O
ER  - 
%0 Journal Article
%A Daniel L R Orozco
%A Josimar M Vasconcelos
%A Frank Gomes-Silva
%T Inferential results based on Mellin-type statistics for the transmuted inverse Weibull distribution
%J Filomat
%D 2023
%P 9431 
%V 37
%N 27
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2327431O/
%R 10.2298/FIL2327431O
%G en
%F 10_2298_FIL2327431O

Cité par Sources :