Construction confidence interval for a linear combination of parameters of the two-parameter exponential distribution under type II progressive censoring | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 239، دوره 14، شماره 1، فروردین 2023، صفحه 3071-3082 اصل مقاله (1.09 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23231.2502 | ||
| نویسنده | ||
| Ahad Malekzadeh* | ||
| aDepartment of Computer Science and Statistics, Faculty of Mathematics, K. N. Toosi university of Technology, P.O. Box 16765-3381, Tehran, Iran | ||
| چکیده | ||
| In this paper, to establish general and shortest confidence interval, for a linear combination of parameters of the two-parameter exponential distribution, we introduce a pivotal quantity. In the case of two populations, we use the method of variance estimate recovery and generalized pivotal quantities to construct a confidence interval for the difference of them. Based on the shortest confidence interval, we present a simple method to obtain its percentiles, and which a shorter confidence interval can be constructed. Also, the performances of the presented methods are studied by real data examples and simulations. | ||
| کلیدواژهها | ||
| Percentiles؛ Modified based-normal asymptotic؛ Generalized pivotal quantity؛ Two-parameter exponential؛ Shortest confidence interval | ||
| مراجع | ||
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