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Physical Sciences and Mathematics Commons™
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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Characterization Of Matrix Variate Normal Distributions, A.K. Gupta, T. Varga
Characterization Of Matrix Variate Normal Distributions, A.K. Gupta, T. Varga
Mathematical Sciences Technical Reports (MSTR)
In this paper, it is shown that two random matrices have a joint matrix variate distribution if conditioning each one on the other the resulting distributions satisfy certain conditions. A general result involving more than two matrices is also proved.
Characterization Of Joint Density By Conditional Densities, A.K. Gupta, T. Varga
Characterization Of Joint Density By Conditional Densities, A.K. Gupta, T. Varga
Mathematical Sciences Technical Reports (MSTR)
In this paper the relationship between joint density and conditional densities is studied. An explicit formula is given for obtaining the joint density from the conditional ones. It is illustrated for the case of bivariate normal distribution.
Sets Of Typical Subsamples, Joel Atkins, G.J Sherman
Sets Of Typical Subsamples, Joel Atkins, G.J Sherman
Mathematical Sciences Technical Reports (MSTR)
A group theoretic condition on a set of subsamples of a random sample from a continuous random variable symmetric about 0 is shown to be sufficient to provide typical values for 0.