OUTER AND INNER CONFIDENCE INTERVALS BASED ON EXTREME ORDER STATISTICS IN A PROPORTIONAL HAZARD MODEL

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AHMADI JAFAR; RAZMKHAH M.

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Paper Information

Journal: JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS) Year:2007 | Volume:6 | Issue:1 Page(s): 1-16

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Title

OUTER AND INNER CONFIDENCE INTERVALS BASED ON EXTREME ORDER STATISTICS IN A PROPORTIONAL HAZARD MODEL

Author(s)

AHMADI JAFAR | RAZMKHAH M. | Issue Writer Certificate

Keywords

COVERAGE PROBABILITYQ4

PROPORTIONAL HAZARD MODELQ4

QUANTILE DIFFERENCEQ4

QUANTILE INTERVALQ4

TOLERANCE INTERVALQ4

Abstract

Let Mi and M'i be the maximum and minimum of the ith sample from k independent sample with different sample sizes, respectively. Suppose that the survival distribution function of the ith sample is Fi=Fai, where ai is known and positive constant. It is shown that how various exact non-parametric inferential procedures can be developed on the basis of Mi’s and Mi’s for distribution function F without any assumptions about it other than F is continuous. These include outer and inner confidence intervals for QUANTILE INTERVALs and upper and lower confidence limits for QUANTILE DIFFERENCEs. Three schemes have been investigated and in each case, the associated confidence coefficients are obtained. A numerical example is given in order to illustrate the proposed procedure.

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APA: Copy

AHMADI, JAFAR, & RAZMKHAH, M.. (2007). OUTER AND INNER CONFIDENCE INTERVALS BASED ON EXTREME ORDER STATISTICS IN A PROPORTIONAL HAZARD MODEL. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), 6(1), 1-16. SID. https://sid.ir/paper/117825/en

Vancouver: Copy

AHMADI JAFAR, RAZMKHAH M.. OUTER AND INNER CONFIDENCE INTERVALS BASED ON EXTREME ORDER STATISTICS IN A PROPORTIONAL HAZARD MODEL. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)[Internet]. 2007;6(1):1-16. Available from: https://sid.ir/paper/117825/en

IEEE: Copy

JAFAR AHMADI, and M. RAZMKHAH, “OUTER AND INNER CONFIDENCE INTERVALS BASED ON EXTREME ORDER STATISTICS IN A PROPORTIONAL HAZARD MODEL,” JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), vol. 6, no. 1, pp. 1–16, 2007, [Online]. Available: https://sid.ir/paper/117825/en

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