1 Department of Statistics and Applied Mathematics, Federal University of Ceara, Fortaleza, CE 60020-181, Brazil 2 DICRE, Credit Risk Management, Bank of Brazil—BB, Brasilia 70073-901, Brazil; [email protected] 3 Department of Statistics, University of Brasilia, Brasilia 70910-900, Brazil; [email protected] * Correspondence: [email protected]; Tel.: +55-85-3366-9447 † These ...

We introduce a new extension of the Fréchet distribution for modeling extreme values. The model generalizes eleven distributions at least, five them are quite new. Some important mathematical properties derived. assess performance maximum likelihood estimators (MLEs) via simulation study. is better than some other competitive models in breaking stress data, glass fibers data and relief time data.

AbstractIn this paper, a new three-parameter distribution, which is member of the Alpha Power Transformed Family distributions, introduced. The distribution generalization logistic model called alpha power transformed (APTL) distribution. Some mathematical properties like moments, quantile function, median, skewness, kurtosis, Rényi entropy, and order statistics are discussed. parameters estima...

In this article, a reliability test plan is developed for Logistic-exponential distribution (LoED) under time truncated life scheme. The has been chosen because it can used to model lifetime of several phenomenon and performs better than many well known existing distributions. With the discussions statistical properties aforesaid model, established assumption median quality characteristics when...