A Unit Probabilistic Model for Proportion and Asymmetric Data: Properties and Estimation Techniques with Application to Model Data from SC16 and P3 Algorithms

Mohamed S. Eliwa; Muhammad Ahsan-ul-Haq; Afrah Al-BosslyMahmoud El-MorshedyDost Muhammad Khan

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A Unit Probabilistic Model for Proportion and Asymmetric Data: Properties and Estimation Techniques with Application to Model Data from SC16 and P3 Algorithms

机译：A Unit Probabilistic Model for Proportion and Asymmetric Data: Properties and Estimation Techniques with Application to Model Data from SC16 and P3 Algorithms

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In this study, a new one-parameter Log-XLindley distribution is proposed to analyze the proportion data. Some of its statistical and reliability properties, including moments with associated measures, hazard rate function, reversed hazard rate, stress strength reliability, and mean residual life function, are investigated in closed forms which help the researchers for modeling data in a small CPU time. It is found that the density function of the introduced distribution can be used as a statistical tool to model asymmetric data. Moreover, the failure rate function can be utilized to model different types of failures, including increasing, bathtub, and J-shaped. The model parameter is estimated using various estimation approaches to get the best estimator to help us in modeling the real data in a good way with high accuracy. A Monte-Carlo simulation study for different sample sizes is performed to assess the performance of the estimations based on some statistical criteria. Finally, two distinctive data sets from SC16 and P3 algorithms, “estimating unit capacity factors,” are analyzed to illustrate the flexibility of the new model.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2022年第8期|1.1-1.13|共13页
作者
Mohamed S. Eliwa; Muhammad Ahsan-ul-Haq; Afrah Al-BosslyMahmoud El-MorshedyDost Muhammad Khan;
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Department of Statistics and Operation Research College of Science Qassim University P.O. Box 6644 Buraydah 51482 ||Department of Mathematics Faculty of Science Mansoura University Mansoura 35516;

College of Statistical and Actuarial Sciences University of the Punjab Lahore ||Quality Enhancement Cell National College of Arts Lahore;

Department of Mathematics College of Science and Humanities in Al-Kharj Prince Sattam Bin Abdulaziz University Al-Kharj 11942Department of Mathematics College of Science and Humanities in Al-Kharj Prince Sattam Bin Abdulaziz University Al-Kharj 11942 ||Department of Statistics and Computer Science Faculty of Science Mansoura University, Mansoura 35516;

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A Unit Probabilistic Model for Proportion and Asymmetric Data: Properties and Estimation Techniques with Application to Model Data from SC16 and P3 Algorithms

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