In this article, we have proposed a new distribution having three parameters using half Cauchy family of called Half-Cauchy Exponential extension Distribution. The statistical properties as well different characteristics like the hazard rate function (HRF), probability density (PDF), cumulative (CDF), quantile function, skewness, and kurtosis are discussed. estimated by least-square estimation ...

A new G family of probability distributions called the type I quasi Lambert is defined and applied for modeling real lifetime data. Some bivariate families using "Farlie-Gumbel-Morgenstern copula", "modified Farlie-Gumbel-Morgenstern "Clayton copula" "Renyi's entropy are derived. Three characterizations presented. its statistical properties derived studied. The maximum likelihood estimation, pr...

A three parameter continuous probability distribution Modified Inverse Generalized Exponential Distribution: Model and Properties, is introduced in this article. To study the properties of model, distribution, density, survival hazard rate functions are introduced. data real life used for checking application. Some important methods estimation constants. validation checked using Akakie’s inform...

In application areas like bioinformatics multivariate distributions on angles are encountered which show significant clustering. One approach to statistical modelling of such situations is to use mixtures of unimodal distributions. In the literature (Mardia et al., 2011), the multivariate von Mises distribution, also known as the multivariate sine distribution, has been suggested for components...

A typical problem associated to Monte Carlo developments and application consists in the validation of the simulation models and results against experimental data. A novel software toolkit has been developed encompassing an ample variety of statistical algorithms for the comparison of data distributions, such as Monte Carlo simulations and experimental data. The toolkit contains a variety of go...

Modeling the movement and consequence of radioactive pollutants is critical for environmental protection and control of nuclear facilities. Sensitivity analysis is an integral part of model development and involves analytical examination of input parameters to aid in model validation and provide guidance for future research. Sensitivities of 21 input parameters have been analyzed for a specific...

An important problem in statistics is to obtain information about the form of the population from which the sample is drawn. Goodness of fit test is employed to determine how well the observed sample data "fits" some proposed model. The standard goodness of fit statistics are inappropriate when the parameters of the hypothesized distribution are estimated from the data used for the test. In thi...

Using finite element method (FEM), this study sought to investigate how the thickness and Young's modulus of cortical bone influenced stress distribution in bone surrounding a dental implant. The finite element implant-bone model consisted of a titanium abutment, a titanium fixture, a gold alloy retaining screw, cancellous bone, and cortical bone. The results showed that von Mises equivalent st...

We present and compare three elastoplastic models currently used for deformation of metallic glasses, namely, a von Mises model, a modified von Mises model with hydrostatic stress effect included, and a Drucker-Prager model. The constitutive models are formulated in conjunction with the free volume theory for plastic deformation and are implemented numerically with finite element method. We sho...