A New Weighted Half-Logistic Distribution:Properties, Applications and Different Method of Estimations

Abstract

In this paper, we introduce a new two-parameter lifetime distribution based on arctan function which is called weighted Half-Logistic (WHL) distribution. Theoretical properties of this model including quantile function, extreme value, linear combination for pdf and cdf, moments, conditional moments, moment generating function and mean deviation are derived and studied in details. The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study. Finally, two real data sets show that this model p[rovide better fit than other competitive known models.

Assessing public street lighting in Morocco: evaluating efficiency and the impact of geometrical parameters on luminance

“…In this phase of designing a road lighting system, the objective is to identify the optimal solution that balances lighting quality and energy efficiency. Also, there is a high potential to develop the street lighting based on renewable energy such as Photovoltaic energy, in order to have a sustainable street lightning [20] and the future work should make an optimization of street lighting based on artificial intelligent decision [22,23].…”

“…These indicators serve as valuable tools for comparing the energy performance of various lighting systems using different technologies and solutions for a single road. However, it's important to exercise caution when comparing lighting systems installed on roads with different characteristics, as these indicators depend on both the area to be illuminated and the specific lighting requirements [17,18,19,20].…”