4 papers · 1 filter
An explicit formula for zonal polynomials
Haoming Wang
The derivation of zonal polynomials involves evaluating the integral \[ \exp\left( - \frac{1}{2} \operatorname{tr} D_β Q D_{l} Q \right) \] with respect to orthogonal matrices \(Q\…
On non-central distribution of the matrix ratio
Haoming Wang
We derive the distribution of the ratio of a non-central mean matrix and a sample covariance matrix. This aligns with the confluent term in the non-central uni-variate St…
Factorization of a prime matrix in even blocks
Haoming Wang
In this paper, a matrix is said to be prime if the row and column of this matrix are both prime numbers. We establish various necessary and sufficient conditions for developing mat…
On minimal predictable intensity of point processes
Haoming Wang
An adapted, right-continuous, non-decreasing, integer-valued process with unit jumps and starting at zero has a minimal predictable intensity if and only if it is a standard Poisso…