Parameter estimation and hypothesis test of two inverse Topp-Leone distribution under type-I censored sample with missing data

Hua Liu; Gang Zeng

doi:10.1117/12.2686039

28 July 2023 Parameter estimation and hypothesis test of two inverse Topp-Leone distribution under type-I censored sample with missing data

Hua Liu, Gang Zeng

Author Affiliations +

Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 127563F (2023) https://doi.org/10.1117/12.2686039
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China

Abstract

The problem of parameter estimation of inverse Topp-Leone distribution is studied under type-I censoring sample with missing data. It is proved that the maximum likelihood estimation of parameter satisfies the consistency and asymptotic normality. Moreover, the approximate confidence interval and hypothesis test on testing equality of the parameters from two inverse Topp-Leone distribution are given. Finally, the high accuracy of the estimation by Monte Carlo simulation shows that this estimation method is feasible.

Citation Download Citation

Hua Liu and Gang Zeng "Parameter estimation and hypothesis test of two inverse Topp-Leone distribution under type-I censored sample with missing data", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 127563F (28 July 2023); https://doi.org/10.1117/12.2686039

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