Interval Estimation of Generalized Inverted Exponential Distribution under Records Data: A Comparison Perspective

Liang Wang, Huizhong Lin, Yuhlong Lio and Yogesh Mani Tripathi
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Liang Wang: School of Mathematics, Yunnan Normal University, Kunming 650500, China
Huizhong Lin: School of Mathematics, Yunnan Normal University, Kunming 650500, China
Yuhlong Lio: Department of Mathematical Sciences, University of South Dakota, Vermillion, SD 57069, USA
Yogesh Mani Tripathi: Department of Mathematics, Indian Institute of Technology Patna, Bihta 801106, India

Mathematics, 2022, vol. 10, issue 7, 1-20

Abstract: In this paper, the problem of interval estimation is considered for the parameters of the generalized inverted exponential distribution. Based on upper record values, different pivotal quantities are proposed and the associated exact and generalized confidence intervals are constructed for the unknown model parameters and reliability indices, respectively. For comparison purposes, conventional likelihood based approximate confidence intervals are also provided by using observed Fisher information matrix. Moreover, prediction intervals are also constructed for future records based on proposed pivotal quantities and likelihood procedures as well. Finally, numerical studies are carried out to investigate and compare the performances of the proposed methods and a real data analysis is presented for illustrative purposes.

Keywords: records; generalized inverted exponential distribution; confidence interval; pivotal quantities; Monte-Carlo simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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