After studying the mathematical properties of Double Burr XII model, we present Bayesian and non-Bayesian estimation for its unknown parameters. Also, constructed a new statistical test goodness-of-fit in case complete censored samples. The modified is developed based on Nikulin-Rao-Robson statistic validation. Simulations are performed assessing along with nine applications real data.

Abstract The exponentiated Burr Type XII (EBXII) distribution has wide applications in reliability and economic studies. In this article, the estimation of probability density function cumulative EBXII is considered. We examine maximum likelihood estimator, uniformly minimum variance unbiased least squares weighted product spacing Cramér–von-Mises Anderson–Darling estimator. derive analytical f...

Considering the impact of heterogeneous conditions mixture baseline distribution on parameter estimation a composite dynamical system (CDS), we propose an approach to infer model parameters and survival function CDS using maximum likelihood Bayesian methods. The power-trend hazard rate Burr type XII as are used characterize changes residual lifetime surviving components. Markov chain Monte Carl...

Modeling competing failure modes is an important problem in engineering and survival analyses. Competing are partially observed many applications often pose a modeling challenge. This study discusses the inference for assuming Burr XII distribution. In particular, we consider two modes, time data collected under hybrid type I censoring scheme. The model parameters estimated using maximum likeli...

In this article, additional properties of the Gumbel-Burr XII distribution, denoted by (GBXII(L)), defined in (Osatohanmwen et al., 2017), are studied. We consider some useful characterizations for GBXII(L) distribution and its properties. A simulation study is conducted to assess performance MLEs usefulness illustrated means three real data sets. The suggests that maximum likelihood method can...