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S.M.T.K. MirMostafaee

S.M.T.K. MirMostafaee

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0003-2796-4427
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: Department of Statistics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Mazandaran‎, P.O‎. ‎Box 47416-1467‎, ‎Babolsar, ‎Iran‎
Phone: 01135302428

Research

Title
Exact nonparametric conditional inference based on k-records, given inter-k-record times
Type
JournalPaper
Keywords
Inter-k-record times, k-Records, Minimum width confidence interval, Prediction intervals, Rainfall data Tolerance intervals
Year
2017
Journal Journal of the Korean Statistical Society
DOI
Researchers S.M.T.K. MirMostafaee ، Morteza Amini ، Narayanaswamy Balakrishnan

Abstract

In this paper, we develop exact nonparametric inference for quantiles of the population based on the sequence of k-record values, conditionally on the corresponding observed inter-k-record times, to increase the precision of inference, as compared to nonparametric unconditional procedures. The effect of including the additional information contained in the inter-k-record times is evaluated by means of an empirical study. The conditional tolerance and prediction intervals for a future k-record from another independent sequence are obtained as well. A real data set is also used to illustrate the inferential results developed here.