Improved estimators in beta prime regression models

Medeiros, Francisco M.C.; Araújo, Mariana C.; Bourguignon, Marcelo

doi:10.1080/03610918.2021.1990322

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2022

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“…Equation (12) confirms that the WBP density is a linear combination of BP densities, which is useful for finding properties of X. In fact, this representation is important since complete and incomplete moments, generating function, mean deviations, and reliability are well-known results for the BP distribution.…”

Section: Linear Representationmentioning

confidence: 52%

“…A generalized BP model defined by [8][9][10] introduced regression models based on the BP distribution. Other recent works studied this distribution [11,12]. Through the McDonald's inverted beta (McIB) distribution [13], we can obtain other generalizations of the BP distribution, for example, the Kumaraswamy Beta Prime and Beta Beta Prime models.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Weibull-Beta Prime Distribution to Model COVID-19 Data with the Presence of Covariates and Censored Data

Biazatti

Cordeiro

Rodrigues

et al. 2022

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Motivated by the recent popularization of the beta prime distribution, a more flexible generalization is presented to fit symmetrical or asymmetrical and bimodal data, and a non-monotonic failure rate. Thus, the Weibull-beta prime distribution is defined, and some of its structural properties are obtained. The parameters are estimated by maximum likelihood, and a new regression model is proposed. Some simulations reveal that the estimators are consistent, and applications to censored COVID-19 data show the adequacy of the models.

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Section: Linear Representationmentioning

confidence: 52%