Banca de QUALIFICAÇÃO: LUCAS DAVID RIBEIRO REIS

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : LUCAS DAVID RIBEIRO REIS
DATE: 28/01/2022
LOCAL: videoconferência, às 9h
TITLE:

Some Extended Chen Distributions

KEY WORDS:

Stacy-G, unit gamma-G, regression model, Chen distribution, maximum likelihood, median.

PAGES: 109
BIG AREA: Ciências Exatas e da Terra
AREA: Probabilidade e Estatística
SUMMARY:

In recent years, several new distributions have appeared in the literature. These new distributions are introduced by adding extra parameters to the baseline distributions, from distribution generators. The more known generators are, Beta-G (Eugene et al., 2002), Kumasrawamy-G (Cordeiro and de Castro, 2011), Marshall-Olkin-G (Marshall and Olkin, 1997), odd-log-logistic-G (Gleaton and Lynch, 2006), where G is the cumulativedistribution function of an arbitrary baseline distribution. Numerous new distributions using these various generators have been introduced. In this work, two other new families of distributions and three others new distributions are proposed. The two families of distributions proposed are: the Stacy-G, which is introduced from the Stacy distribution and the unit gamma-G, based on the unit gamma distribution. These two families ofdistributions add two extra parameters to the baseline distributions. When these two parameters are equal to 1, the baseline distribution is obtained. The Stacy-G family also has the gamma-G family as a special case. In both families it is shown that their respective density functions can be written as a linear combination of exp-G densities. Taking the log of a non-negative random variable from the baseline distribution, and reparameterizing for the location-scale family, the regression model for these two classes of distributions are introduced. With respect to the three new distributions introduced, these were obtained from the bi-parametric Chen (Chen, 2000) distribution, which has a bathtub-shaped failure rate function. The Chen distribution was inserted in the generators gamma-G, Mcdonald-G and logistic-X, thus giving names to gamma-Chen, Mcdonald-Chen and logistic-Chen distributions. The parameters of these distributions are estimated by the maximum likelihood method. Simulation studies and applications to real data are considered to show the potentiality of the three new distributions and the two families of distributions. In the losgistic-Chen distribution, a regression model for censored data, having reparameterization at the median, is also introduced.

BANKING MEMBERS:
Interno - 2937900 - ABRAAO DAVID COSTA DO NASCIMENTO
Presidente - 2991947 - MARIA DO CARMO SOARES DE LIMA
Interno - 3100567 - PABLO MARTIN RODRIGUEZ