THERMAL SCIENCE

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Zoran Vidović

ON MAXIMUM LIKELIHOOD ESTIMATES OF A PROPORTIONAL HAZARD RATE MODEL PARAMETERS BASED ON RECORD VALUES

ABSTRACT
The proportional hazard rate models have wide acceptance in modeling complex data from different engineering, reliability, and survival applications. The hazard rate function of such models is able to model data with a monotonic or a bathtub-shape hazard rate. In this paper, we propose a subclass of proportional hazard rate models with three-parameters for which we have proved the existence and uniqueness of the maximum likelihood estimators based on upper kth record values. The proposed inference is found especially useful in some real illustrations within mechanical and medical analysis. Finally, several remarks are presented in the final stage of this paper.
KEYWORDS
Proportional hazard rate model, records, Hessian matrix, uniqueness, existence
PAPER SUBMITTED: 2022-08-23
PAPER REVISED: 2022-10-11
PAPER ACCEPTED: 2022-10-15
PUBLISHED ONLINE: 2022-11-12
DOI REFERENCE: https://doi.org/10.2298/TSCI220823170V
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 1, PAGES [335 - 348]
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On maximum likelihood estimates of a proportional hazard rate model parameters based on record values

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