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Akbar Asgharzadeh

Akbar Asgharzadeh

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address: Department of Statistics University of Mazandaran Babolsar, IRAN
Phone: 011-54302476

Research

Title
Best prediction regions for future exponential record intervals
Type
JournalPaper
Keywords
Constrained optimization; exponential distribution; prediction region; record data; type-II censored data
Year
2020
Journal STATISTICS
DOI
Researchers Elham Basiri ، Arturo Fernadez ، Akbar Asgharzadeh ، S. F. Bagheri

Abstract

A class of prediction regions for a future upper record interval (Rs, Rl) based on a type-II censored sample from the exponential distribution is presented in this paper. The best prediction region for (Rs, Rl) is then determined by solving a constrained nonlinear optimization problem. The objective function is the area of the prediction region and the constraints are related to the desired confidence level. According to our approach, it suffices to simultaneously solve four nonlinear equations for deriving the prediction region with minimal area. To show the usefulness of our results, we present a simulation study. Three practical studies regarding times between consecutive telephone calls, lifetimes to breakdown of insulating fluids and annual rainfalls recorded at Los Angeles Civic Center are provided for comparing conservative and optimal prediction regions. In most cases, the reduction in area is appreciable. Finally, some applications and extensions are also pointed out.