The shifted Gompertz-G family of distributions: Properties and applications

Mathematica Slovaca - Tập 71 Số 5 - Trang 1291-1308 - 2021
Joseph Thomas Eghwerido1, Friday Ikechukwu Agu2,3
1Department of Mathematics, Federal University of Petroleum Resources Effurun, Delta State, Nigeria
2Department of Statistics , Eskisehir Osmangazi University , Eskisehir City , Turkey
3Department of Statistics, University of Calabar, Cross River State, Nigeria

Tóm tắt

Abstract This article proposes a class of generator for classical statistical distribution called the shifted Gompertz-G (SHIGO-G) distribution for generating new continuous distributions. Special models of the proposed model were examined together with some of its statistical properties in closed form which makes it tractable for censored data. Its major properties include heavy tail, approximately symmetric, left and right skewed with a combination of exponential and a reverted Gumbel distributions called the Gompertz. The bivariate SHIGO-G is introduced. The parameters estimate of the proposed model was obtained by maximum likelihood method. A Monte Carlo simulation study was employed to investigate the performance of the estimators of the proposed model mean, variance, bias and mean square error. A two real life illustration was used to examine the empirical goodness-of-fit of the test statistic of the proposed model. The results of the real life applications show that the SHIGO-G model provides a better fit for the data set used.

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Mathematica Slovaca

Tập 71 Số 5

1291-1308

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