Author(s):
1. Wondimu Fikre:
Department of Mathematics and Statistics, Central University of Punjab, Bathinda -151401, India
2. Harmanpreet S. Kapoor:
Department of Mathematics and Statistics, Central University of Punjab, Bathinda -151401, India
3. Kanchan Jain:
Department of Statistics, Panjab University, Chandigarh - 160014, India
4. Alok Kumar:
Department of Mathematics and Statistics, Central University of Punjab, Bathinda -151401, India
Abstract:
This work introduces a family of theta power-transformed exponentiated distributions. A sub-model, the theta power transformed exponentiated Weibull (TPTEW), is considered in detail. It is of particular interest because the density function assumes a variety of symmetrical and asymmetrical shapes. The new model's parameters have been estimated using four diferent approaches, including maximum likelihood, least squares, weighted least squares, and Cramer-von Mises. A simulation study has been conducted to assess the efectiveness of the same. Estimates of the TPTEW parameters derived from all four estimation techniques are eficient and very near to the true values, with negligible mean square error and biases for diferent combinations of parameters. Moreover, the model's usefulness is investigated using three data sets. Based on comparison with the existing most popular distributions in the literature, the results demonstrate that the proposed model provides a better fit to the data.
Page(s):
1-30
DOI:
DOI not available
Published:
Journal: Journal of Applied Probability and Statistics, Volume: 18, Issue: 3, Year: 2023
Keywords:
Simulation
,
and phrases
,
Estimation
,
Coverage probability
,
goodness of fit test
,
TX family
,
theta power
References:
References are not available for this document.
Citations
Citations are not available for this document.