Interval Estimations of the Two-Parameter Exponential Distribution

المؤلفون المشاركون

Wong, Augustine C. M.
Jiang, Lai

المصدر

Journal of Probability and Statistics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-8، 8ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-04-17

دولة النشر

مصر

عدد الصفحات

8

التخصصات الرئيسية

الرياضيات

الملخص EN

In applied work, the two-parameter exponential distribution gives useful representations of many physical situations.

Confidence interval for the scale parameter and predictive interval for a future independent observation have been studied by many, including Petropoulos (2011) and Lawless (1977), respectively.

However, interval estimates for the threshold parameter have not been widely examined in statistical literature.

The aim of this paper is to, first, obtain the exact significance function of the scale parameter by renormalizing the p∗-formula.

Then the approximate Studentization method is applied to obtain the significance function of the threshold parameter.

Finally, a predictive density function of the two-parameter exponential distribution is derived.

A real-life data set is used to show the implementation of the method.

Simulation studies are then carried out to illustrate the accuracy of the proposed methods.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Jiang, Lai& Wong, Augustine C. M.. 2012. Interval Estimations of the Two-Parameter Exponential Distribution. Journal of Probability and Statistics،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-494415

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Jiang, Lai& Wong, Augustine C. M.. Interval Estimations of the Two-Parameter Exponential Distribution. Journal of Probability and Statistics No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-494415

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Jiang, Lai& Wong, Augustine C. M.. Interval Estimations of the Two-Parameter Exponential Distribution. Journal of Probability and Statistics. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-494415

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-494415