descriptionPublicationkeyboard_double_arrow_right Article , Preprint 27 Jul 2020Embargo end date: 01 Jan 2017 English Publisher:The Netherlands PressJournal:Journal of Modern Applied Statistical Methods, volume 18, pages 2-27 (eissn: 1538-9472,

Authors: Gore, S. D.; Hosseini, S.; Nasiri, P.;

doi: 10.22237/jmasm/1604189100 , 10.48550/arxiv.1710.10690

arXiv: 1710.10690

Maximum Likelihood Estimations Based on Upper Record Values for Probability Density Function and Cumulative Distribution Function in Exponential Family and Investigating Some of Their Properties

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Abstract

A useful subfamily of the exponential family is considered. The ML estimation based on upper record values are calculated for the parameter, Cumulative Density Function, and Probability Density Function of the subfamily. The relationship between MLE based on record values and a random sample are discussed, along with some properties of these estimators, and its utility is shown for large samples.

Related Organizations

University of Tehran
Iran (Islamic Republic of)
Cihan University
Iraq
University of Pune
India

Keywords

FOS: Mathematics, Mathematics - Statistics Theory, Statistics Theory (math.ST)

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