Recently Surles and Padgett (2001) introduced two-parameter Burr Type X distribution, which can also be described as generalized Rayleigh distribution. It is observed that this particular skewed distribution can be used quite effectively in analyzing lifetime data. Recently the authors (Raqab and Kundu; 2003) considered this distribution and discussed its different properties. In this paper, we...

We introduce a flexible lifetime distribution called Burr III-Inverse Weibull (BIII-IW). The new proposed distribution has well-known sub-models. The BIII-IW density function includes exponential, left-skewed, right-skewed and symmetrical shapes. The BIII-IW model’s failure rate can be monotone and non-monotone depending on the parameter values. To show the importance of the BIII-IW distributio...

This paper deals with Bayesian inference and prediction problems of the Burr type XII distribution based on progressive first failure censored data. We consider the Bayesian inference under a squared error loss function. We propose to apply Gibbs sampling procedure to draw Markov Chain Monte Carlo (MCMC) samples, and they have in turn, been used to compute the Bayes estimates with the help of i...

The Burr Type XII distribution is one of the systems of continuous distributions and is widely known because the distribution includes the characteristics of various well known distributions such as Weibull and gamma distributions. Maximum likelihood estimation (MLE) has been a common method in estimating model parameters. An alternative method that is the expectation-maximization (EM) algorith...

*Correspondence: [email protected] 2Departamento de Estatística, Universidade de Brasília, 70910-900 Brasília, DF, Brazil Full list of author information is available at the end of the article Abstract For any continuous baseline G distribution, Zografos and Balakrishnan (Statistical Methodology 6:344–362, 2009) introduced the gamma-generated family of distributions with an extra shape parameter. ...

Triangulation method, conoscopic holography method and interferometry method are analyzed for effective measurement of micro burr geometry, which is formed in micro drilling. To select proper sensor, cylinder with 0.5mm diameter is measured and the result shows that conoscopic holography method is effective for measuring highly inclined surface. Burr with 1.0mm height and 30μm height are measur...

Deep brain stimulation (DBS) is performed by burr hole surgery. In microelectrode recording by multi-channel parallel probe, because all microelectrodes do not always fit in the burr hole, additional drilling to enlarge the hole is occasionally required, which is time consuming and more invasive. We report a stereotactic burr hole technique to avoid additional drilling, and the efficacy of this...

We propose a new four-parameter lifetime model with flexible hazard rate called the Burr XII Power Cauchy (BXII-PC) distribution. derive BXII-PC distribution via (ⅰ) T-X family technique and (ⅱ) nexus between exponential gamma variables. The proposed is as it has famous sub-models such XII-half Cauchy, Lomax-power Lomax-half Log-logistic-power log-logistic-half Cauchy. failure functi...

Depending on Yousof et al. (2017a), a new one parameter G family of distributions called the reciprocal Burr X-G is defined and studied. Special member based well-known type XII model X-Burr distribution studied analyzed. Relevant properties including ordinary moments, moment residual life, reversed life incomplete moments are derived some them numerically Four different applications to real-li...

BACKGROUND The demand of a burr hole surgery for chronic subdural hematoma (CSDH) is increasing in the global aging society. Burr hole-derived autologous bone dusts are not associated with extra costs compared with other commonly used synthetic materials. In addition, postoperative calvarium ossification requires periosteum-mediated blood supply, which is lacking after using avascular synthetic...