Important distributions used to model and analyse data in various real-life sciences such as natural sciences, engineering, medicine are the Weibull distribution, exponential Rayleigh distribution. The main objective of this paper is determine best evaluators compare them for distribution with three-parameters Weibull, Exponential Weibull. methods under consideration comparing parameter estimat...

Wind speed is the most important parameter in the design and study of the environmental impact assessment. The wind speed determines the concentration of any toxic pollutant released from any chemical industry. As the wind speed increases the concentration of the toxic pollutant at any location in the environment at any instant of time decreases. It is also known that as the wind speed increase...

Constant-stress procedure based on parametric lifetime distribution and model is often used for accelerated life testing in product reliability experiment. Maximum likelihood estimation is the typically statistical inference method. This paper presents a new inference method, named random variable transformation (RVT) method for Weibull constant-stress accelerated life test with progressively T...

A new general model for asset returns is studied in the framework of the Fractal Market Hypothesis (FMH). To accomodate markets with arbitrage opportunities it concerns capital market systems in which the Conditionally Exponential Dependence (CED) property can be attached to each investor on the market. Emploing the limit theorem for the CED systems, the universal characteristics for the distri...

Weibull distributions are widely used in reliability and survival analysis. In this paper, different methods to estimate the shape and scale parameters of the two-parameter Weibull distribution have been reviewed and compared, based on the bias, mean square error and variance. Because a theoretical comparison is not possible, an extensive simulation study has been conducted to compare the perfo...

The purpose of this study was to investigate and analyse the fracture toughness of yttria stabilized tetragonal zirconia polycrystal (Y-TZP) dental ceramics by means of the Vickers indentation technique. Fracture toughness was analysed under the following loads: 29.42 N, 49.03 N, 196.13 N, and 294.20 N. Cracks that had developed from the vertices of a Vickers indentation were measured and used ...

In this study‎, ‎a new polynomial rank transmutation is proposed with the help of‎ ‎ the idea of quadratic rank transmutation mapping (QRTM)‎. ‎This polynomial rank‎ ‎ transmutation is allowed to extend the range of the transmutation parameter from‎ ‎  [-1,1] to [-1,k]‎‎. ‎At this point‎, ‎the generated distributions gain more&lrm...

Control charts are widely used for process monitoring. Software reliability process can be monitored efficiently by using Statistical Process Control (SPC). It assists the software development team to identify failures and actions to be taken during software failure process and hence, assures better software reliability. In this paper we propose a control mechanism based on the cumulative quant...

In this paper we consider the Weibull distribution as a model for technical efficiency. The distribution has a shape and scale parameter like the gamma distribution and can be a reasonable competitor in practice. The techniques are illustrated using artificial data as well as a panel of Spanish dairy farms.