Likelihood-based inference for the transmuted log-logistic model in the presence of right-censored data

ABSTRACT

Although new transmuted distributions have been widely proposed in the last few years, it is rarely to find those class of models applied in survival analysis in the presence of censored lifetimes. In this context, we are concerned in applying the transmuted log-logistic model in the study of discharge times of patients treated with the Linezolid drug. For model fitting, we use and compare different profile likelihood methods. Analysis of residuals and influence are also presented. All results are validated in a simulation study by considering the bootstrap techniques.

Keywords:

• Log-logistic distribution
• Residual and influence analysis
• Right-censoring
• Survival analysis
• Quadratic rank transmutation map

MATHEMATICS SUBJECT CLASSIFICATION:

• 62N01
• 62N02
• 62F10

Notes

1 Here, t_(r) represents the fixed time of end of study (Type-I censoring scheme).