Fitting the Length of Stay data: Case study in Intensive Care Unit at Sultan Qaboos University Hospital in Oman

Authors

Iman Al Hashmi, Sultan Qaboos University, Centre for Preparatory Studies, Department of Mathematics and Information Technology, Muscat, Oman
Amadou Sarr, Sultan Qaboos University, College of Science, Department of Statistics, Muscat, OmanFollow

Abstract

The Length of Stay (LOS) of patients is an important tool to help and assist the managers of hospitals. The distribution of LOS data is, however, right skewed (asymmetric). Hence, appropriate models are needed in order to fit such data properly. The aim of this study was to investigate LOS data, collected from the Intensive Care Unit (ICU) at Sultan Qaboos University hospital. To that end, the data were fitted by four widely used models: Weibull, Gamma, Lognormal, and Loglogistic. Unknown parameters were estimated using the maximum likelihood method. The empirical study revealed that Gamma model outperformed the other competitors; and therefore, it has been used as a predictive model.

Recommended Citation

Hashmi, Iman Al and Sarr, Amadou (2025) Fitting the Length of Stay data: Case study in Intensive Care Unit at Sultan Qaboos University Hospital in Oman, Sultan Qaboos University Journal For Science: Vol. 30: Iss. 1, 11-15.
DOI: https://doi.org/10.53539/2414-536X.1398
Available at: https://squjs.squ.edu.om/squjs/vol30/iss1/3