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The Two-Parameter Exponentiated-Sine Modified Lindley Distribution: A Flexible Model for Reliability Analysis | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 15، شماره 1 - شماره پیاپی 29، 2026، صفحه 182-197 اصل مقاله (821.88 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.30758.1787 | ||
| نویسندگان | ||
| khalid ul islam rather* 1؛ Mahvish Jan2؛ Walaa Sharkawy3 | ||
| 1Sher-e-Kashmir univeristy of agricultural sciences and technology jammu | ||
| 2Department of Statistics, University of Kashmir, 190006, Srinagar, India. | ||
| 3Department of Mathematics, Faculty of Science, Cairo Univeristy, Egypt | ||
| تاریخ دریافت: 21 آذر 1404، تاریخ بازنگری: 28 بهمن 1404، تاریخ پذیرش: 29 بهمن 1404 | ||
| چکیده | ||
| This paper introduces a two-parameter generalization of the sine-modified Lindley distribution by incorporating a shape parameter α. This extended model retains the flexibility of the sine-modified Lindley distribution while enhancing its ability to model a wider range of lifetime and reliability data. The distribution’s properties, including probability density function, cumulative distribution function, survival function, moments, and hazard rate function, are derived. Maximum likelihood estimation is used for parameter estimation, and its performance is evaluated through simulations. The model is applied to real-world datasets and compared with existing lifetime distributions using goodness-of-fit criteria. Results demonstrate its superiority in modeling skewed and heavy-tailed data. | ||
| کلیدواژهها | ||
| Sine modified Lindley distribution؛ Lifetime modeling Reliability analysis؛ Two-parameter extension؛ Maximum likelihood estimation؛ Hazard function | ||
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آمار تعداد مشاهده مقاله: 40 تعداد دریافت فایل اصل مقاله: 7 |
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