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A new least squares method for estimation and prediction based on the cumulative Hazard function
Faculty
Science
Year:
2023
Type of Publication:
ZU Hosted
Pages:
Authors:
Haroun Mohammed Abdel-Fattah Barakat
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematics AIMS
Volume:
Keywords :
, , least squares method , estimation , prediction based
Abstract:
In this paper, the cumulative hazard function is used to solve estimation and prediction problems for generalized ordered statistics (defined in a general setup) based on any continuous distribution. The suggested method makes use of R´enyi representation. The method can be used with type II right-censored data as well as complete data. Extensive simulation experiments are implemented to assess the eciency of the proposed procedures. Some comparisons with the maximum likelihood (ML) and ordinary weighted least squares (WLS) methods are performed. The comparisons are based on both the root mean squared error (RMSE) and Pitman’s measure of closeness (PMC). Finally, two real data sets are considered to investigate the applicability of the presented methods.
Author Related Publications
Haroun Mohammed Abdel-Fattah Barakat, "Random translation, dilation and contraction of order statistics", El-Sevier, 2014
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Haroun Mohammed Abdel-Fattah Barakat, "Limit theory for bivariate extreme generalized order statistics and dual generalized order statistics", ALEA publisher, 2014
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Haroun Mohammed Abdel-Fattah Barakat, "Asymptotic distributions of order statistics and record values arising from the class of beta-generated distributions", Taylor &Francis, 2014
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Haroun Mohammed Abdel-Fattah Barakat, "LIMIT THEORY FOR JOINT GENERALIZED ORDER STATISTICS", Taylor &Francis, 2014
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Haroun Mohammed Abdel-Fattah Barakat, "Statistical Modeling of Extreme Values with Applications to Air Pollution", Science Puplications publisher, 2012
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Department Related Publications
Rodyna Ahmed Mahmoud, "Pre-Open Sets with Ideal", Scientific Research Platform (SRP), 2013
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Rodyna Ahmed Mahmoud, "ON BCL-ALGEBRA", Council for Innovative Research, 2013
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Yasser AbdelAziz Amer Tolba, "The improved (G’/G) - expansion method for constructing exact traveling wave solutions for a nonlinear PDE of nanobiosciences", USA, 2013
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Alaa Hassan Attia Hassan, "A Unified Representation of Some Starlike and Convex Harmonic Functions with Negative Coefficients", AGH University of Science and Technology Press, Krakow 2013, Poland, 2013
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Alaa Hassan Attia Hassan, "Generalizations of Hadamard Procuct of Certain Meromorphic Multivalent Functions with Positive Coefficients", Istanbul Universitesi, Turkey, 2013
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