Approximating bivariate Suzuki distribution with bivariate Lognormal distribution

Title Poisson Lognormal and Bivariate Poisson Lognormal Distribution

February 20, 2015 Type Package Title Poisson lognormal and bivariate Poisson lognormal distribution Version 0.4 Date 2008-04-29 Author Vidar Grøtan and Steinar Engen Maintainer Vidar Grøtan Description Functions for obtaining the density, random deviates and maximum likelihood estimates of the Poisson lognormal distribution and the bivariate Poisson lognormal distribu...

Package 'poilog' Title Poisson Lognormal and Bivariate Poisson Lognormal Distribution

February 15, 2013 Type Package Title Poisson lognormal and bivariate Poisson lognormal distribution Version 0.4 Date 2008-04-29 Author Vidar Grøtan and Steinar Engen Maintainer Vidar Grøtan Description Functions for obtaining the density, random deviates and maximum likelihood estimates of the Poisson lognormal distribution and the bivariate Poisson lognormal distribu...

Properties of the Sample Correlation of the Bivariate Lognormal Distribution

Most statistics students know that the sample correlation coefficient R is used to estimate the population correlation coefficient ρ. If the pair (X, Y) has a bivariate normal distribution, this would not cause any trouble. However, if the marginals are nonnormal, particularly if they have high skewness and kurtosis, the estimated value from a sample may be quite different from the population c...

The Bivariate Marginal Distribution

The Bivariate Normal Distribution

Let U and V be two independent normal random variables, and consider two new random variables X and Y of the form X = aU + bV, Y = cU + dV, where a, b, c, d, are some scalars. Each one of the random variables X and Y is normal, since it is a linear function of independent normal random variables.† Furthermore, because X and Y are linear functions of the same two independent normal random variab...