BES: An algorithm for estimation in log-normal distributions

Maximum Log Likelihood Estimation using EM Algorithm and Partition Maximum Log Likelihood Estimation for Mixtures of Generalized Lambda Distributions

Comparing Mean Vectors Via Generalized Inference in Multivariate Log-Normal Distributions

Abstract In this paper, we consider the problem of means in several multivariate log-normal distributions and propose a useful method called as generalized variable method. Simulation studies show that suggested method has a appropriate size and power regardless sample size. To evaluation this method, we compare this method with traditional MANOVA such that the actual sizes of the two methods ...

Inference of Several Log-normal Distributions

This research considers several log-normal distributions when variances are heteroscedastic and group sizes are unequal. We proposed fiducial generalized pivotal quantities (FGPQ)-based simultaneous confidence intervals for ratios of the means. We also proved that the constructed confidence intervals have correct asymptotic coverage. Simulation results show that the proposed methods work well. ...

A Family of Skew-Slash Distributions and Estimation of its Parameters via an EM Algorithm

Abstract. In this paper, a family of skew-slash distributions is defined and investigated. We define the new family by the scale mixture of a skew-elliptically distributed random variable with the power of a uniform random variable. This family of distributions contains slash-elliptical and skew-slash distributions. We obtain the moments and some distributional properties of the new family of d...

An Expectation Maximization Algorithm for Inferring Offset-Normal Shape Distributions

The statistical theory of shape plays a prominent role in applications such as object recognition and medical imaging. An important parameterized family of probability densities defined on the locations of landmark-points is given by the offset-normal shape distributions introduced in [7]. In this paper we present an EM algorithm for learning the parameters of the offset-normal shape distributi...