A Bivariate Model for the Distribution of √b1and b2
- 1 March 1977
- journal article
- theory and-method
- Published by Taylor & Francis Ltd in Journal of the American Statistical Association
- Vol. 72 (357), 206-211
- https://doi.org/10.1080/01621459.1977.10479940
Abstract
In sampling from general populations, the skewness and kurtosis statistics are subject to the constraint b 2 > 1 + b 1. A bivariate product-density model for the distribution of √b 1 and b 2 is studied, consisting of a Johnson Su approximation to the marginal density of √b 1, and a gamma density for the conditional distribution of b 2. Equiprobability contours are given for sampling from normal and nonnormal populations. In the normal case, an eight-parameter model is completely specified.Keywords
This publication has 6 references indexed in Scilit:
- A note on serial correlation coefficientsBiometrika, 1970
- Some problems arising in approximating to probability distributions, using momentsBiometrika, 1963
- The moments of the distribution for normal samples of measures of departure from normalityProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1930
- SKEW BIVARIATE FREQUENCY SURFACES, EXAMINED IN THE LIGHT OF NUMERICAL ILLUSTRATIONSBiometrika, 1930
- THE FIFTEEN CONSTANT BIVARIATE FREQUENCY SURFACEBiometrika, 1925
- On the General Forms of Bivariate Frequency Distributions Which are Mathematically Possible When Regression and Variation are Subjected to Limiting Conditions: Part IBiometrika, 1923