A Simple Approximation for Normal Distribution Function

A New Approximation for the Null Distribution of the Likelihood Ratio Test Statistics for k Outliers in a Normal Sample

Usually when performing a statistical test or estimation procedure, we assume the data are all observations of i.i.d. random variables, often from a normal distribution. Sometimes, however, we notice in a sample one or more observations that stand out from the crowd. These observation(s) are commonly called outlier(s). Outlier tests are more formal procedures which have been developed for detec...

Screening for a Multivariate Mixture Normal Distribution

A Simple Normal Approximation for Weibull Distribution with Application to Estimation of Upper Prediction Limit

We propose a simple close-to-normal approximation to a Weibull random variable r.v. and consider the problem of estimation of upper prediction limit UPL that includes at least l out of m future observations from a Weibull distribution at each of r locations, based on the proposed approximation and the well-known Box-Cox normal approximation. A comparative study based on Monte Carlo simulations ...

A Formula for the Approximation of Definite Integrals of the Normal Distribution Function

A simple model for accretion disks in the post-Newtonian approximation

p { margin-bottom: 0.1in; direction: ltr; line-height: 120%; text-align: left; }a:link { } In this paper, the evolution of accretion disks in the post-Newtonian limit has been investigated. These disks are formed around gravitational compact objects such as black holes, neutron stars, or white dwarfs. Although most analytical researches have been conducted in this context in the framework o...