Logit Gudermannian distribution: Properties, regression and applications | ||
| Journal of Statistical Modelling: Theory and Applications | ||
| دوره 4، شماره 1، فروردین 2023، صفحه 25-44 اصل مقاله (360.64 K) | ||
| نوع مقاله: Original Scientific Paper | ||
| شناسه دیجیتال (DOI): 10.22034/jsmta.2023.3269 | ||
| نویسندگان | ||
| Abdulzeid Yen Anafo1؛ Selasi Kwaku Ocloo* 1؛ Hanifatu Napari Mumuni2؛ Suleman Nasiru3 | ||
| 1Department of Mathematical Sciences, University of Mines and Technology, Ghana | ||
| 2Statistics Department, Tamale Technical University, Tamale, Ghana | ||
| 3Department of Statistics and Actuarial Science, School of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Ghana | ||
| چکیده | ||
| In this paper, we propose a unit distribution called the logit Gudermannian distribution and present various statistical properties of the proposed model. Six parameter estimation methods are explored in the quest to estimate the parameters of the proposed distribution. We determine which estimation methods provide better parameter estimates through simulation studies. The study shows that the logit Gudermannian distribution provides a better fit for the datasets used than other unit distributions. Consequently, the logit Gudermannian distribution is used to develop a parametric regression model for studying the relationship between a unit response variable and other exogenous variables. The new regression model's performance is compared to that of other existing regression models and found to be competitive. | ||
| کلیدواژهها | ||
| Gudermannian distribution؛ One-parameter distribution؛ Regression؛ Unit distribution؛ Univariate transformation | ||
|
آمار تعداد مشاهده مقاله: 180 تعداد دریافت فایل اصل مقاله: 119 |
||