کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1153870 | 958358 | 2009 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Current k-records and their use in distribution-free confidence intervals
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
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چکیده انگلیسی
In a sequence of independent and identically distributed (iid) random variables, the kth largest (smallest) observation in a partial sample is well-known as the upper (lower) k-record value, when its value is greater (smaller) than the corresponding observation in the previous partial sample. In this paper, we consider the k-record statistics at the time when the nth k-record of any kind (either an upper or lower) is observed, termed as current k-records. We derive a general expression for the joint probability density function (pdf) of these current k-records and use it to construct distribution-free confidence intervals for population quantiles. It is shown that the expected width of these confidence intervals is decreasing in k and increasing in n. We also discuss the construction of tolerance intervals and limits in terms of current k-records. Finally, a numerical example is presented to illustrate all the methods of inference developed here.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 79, Issue 1, 1 January 2009, Pages 29-37
Journal: Statistics & Probability Letters - Volume 79, Issue 1, 1 January 2009, Pages 29-37
نویسندگان
J. Ahmadi, M. Razmkhah, N. Balakrishnan,