A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on. Now we can also use what’s called prime ...

The lambda value of the iteration history indicates that Newton steps can always be performed. Because no singular Hessian matrices (which can slow down the convergence rate considerably) are computed ...

Plot of Reference Structure for Factor1 and Factor2 Reference Axis Correlation = -0.0836 Angle = 94.7941 Factor1 1 E .B .8 D .7 .6 .5 .4 .3 .2 F .1 a C c -1 -.9-.8-.7 ...

We prove a theorem justifying the regularity conditions which are needed for Path Sampling in Factor Models. We then show that the remaining ingredient, namely, MCMC for calculating the integrand at ...