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SEQUENTIAL ESTIMATION IN A SUBCLASS OF EXPONENTIAL FAMILY UNDER WEIGHTED SQUARED ERROR LOSS | ||
| Iranian Journal of Science | ||
| مقاله 6، دوره 31، شماره 2، مهر 2007، صفحه 189-197 اصل مقاله (105 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2007.2329 | ||
| نویسندگان | ||
| N. NEMATOLLAHI* ؛ M. JAFARI JOZANI؛ N. MAHLOOJI | ||
| Department of Statistics, Faculty of Economics, Allameh Tabataba'i University, Tehran, I. R. of Iran | ||
| چکیده | ||
| In a subclass of the scale-parameter exponential family, we consider the sequential point estimation of a function of the scale parameter under the loss function given as the sum of the weighted squared error loss and a linear cost. For a fully sequential sampling scheme, second order expansions are obtained for the expected sample size as well as for the regret of the procedure. The former researches on Gamma and Exponential distributions can be deduced from our general results. | ||
| کلیدواژهها | ||
| Sequential estimation؛ stopping rule؛ regret analysis؛ exponential family؛ transformed chi-square distribution | ||
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