X-Gamma Lomax Distribution with Different Applications

نوع المستند : المقالات الأصلية

المؤلفون

1 Faculty of Business Administration, Delta University of Science and Technology,Gamasa 11152, Egypt Department of Mathematical Statistics Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt

2 Pan African Insitute of Basic Science, Technology and Innovation, Nairobi, Kenya

3 College of Business Administration in Hawtat Bani Tamim, Prince Sattam bin Abdulaziz University, Saudi Arabia

المستخلص

The X-Gamma Lomax (XGLo) distribution, a new three-parameter modification of the Lomax distribution, was introduced and examined in this study. This distribution's features for reliability and hazard rate are addressed. The methods for estimating the XGLo distribution parameters using maximum likelihood estimation (MLE) and maximum product spacing (MPS) are explained. To compare the MLE and MPS estimate approaches, a numerical investigation is conducted Monte-Carlo simulation. Three real data sets as the cancer data includes failure rates in weeks, 109 days of continuous coal mining occurrences in Great Britain, and remission periods (in months) of a random sample of 128 bladder cancer patients. are used to examine the adaptability and potential of the XGLo distribution. The likelihood ratio test and Kolmogorov- Smirnov test have been used to check the XGLo model is better fits than Lomax model.

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