We compare classical and Bayesian methods for fitting the poisson distribution to the number of hurricanes making landfall on sections of the US coastline.

This article describes a simple computational method for obtaining the maximum likelihood estimates (MLE) in nonlinear mixed-effects models when the random effects are assumed to have a nonnormal distribution. Many computer programs for fitting nonlinear mixed-effects models, such as PROC NLMIXED in SAS, require that the random effects have a normal distribution. However, there is often interes...

T input processes occur naturally in the stochastic simulation of many service, communications, and manufacturing systems, and there are a variety of time-series input models available to match a given collection of properties, typically a marginal distribution and an autocorrelation structure specified via the use of one or more time lags. The focus of this paper is the situation in which the ...

There are many programs for fitting nonlinear models to experimental data, and the use of this type of software is now widespread. After fitting a model or sequence of models, these programs usually calculate x2, run, sign, F and I statistics as an aid to model discrimination and parameter estimation. The distribution of such statistics from linear regression is well known, but these random var...

Background: In this study, with the aim of modeling Leukemia in children using Phase-type distribution, three transitional phases including diagnosis, brain metastasis and testis/ovary metastasis, and one absorotion phase of recovery/death have been considered. The distribution was fitted and the probabilities of death or recovery were determined based on the independent variab...

The problem of fitting ellipsoids occurs in many areas of science. It is useful in pattern recognition, particle physics, computer graphics, medical imaging of organs, and statistical error analysis. We describe an algorithm for finding an equation for a multi-dimensional ellipsoid fit to a distribution of discrete data points. In general, we find that the algorithm works well for fitting ellip...

wind speed is one of the characteristics of wind energy which its data is extracted from meteorological stations. in this study, the data obtained from the weather station in the city eqlid during a ten-year period has been used. weibull distribution was chosen as the best distribution function using fitting tests and estimation of some statistical parameters. the results showed that the averag...