35 citations · 120 across the 34 of their papers we have counts for
5 papers · 1 filter
Adaptive-precision computation of custom Gauss quadrature for statistical applications
Paul Kabaila
An -point Gauss quadrature rule approximates the weighted integral of a function by a weighted sum of evaluations of this function and is exact for polynomials of degree at…
Custom-made Gauss quadrature for statisticians
Paul Kabaila
The theory and computational methods for custom-made Gauss quadrature have been described in Gautschi's 2004 monograph. Gautschi has also provided Fortran and MATLAB code for the i…
Computation of the expected value of a function of a chi-distributed random variable
Paul Kabaila, Nishika Ranathunga
We consider the problem of numerically evaluating the expected value of a smooth bounded function of a chi-distributed random variable, divided by the square root of the number of…
A new method of randomization of lattice rules for multiple integration
Paul Kabaila
Cranley and Patterson put forward the following randomization as the basis for the estimation of the error of a lattice rule for an integral of a one-periodic function over the uni…
Computation of confidence intervals in regression utilizing uncertain prior information
Paul Kabaila, Khageswor Giri
We consider a linear regression model with regression parameter beta =(beta_1, ..., beta_p) and independent and identically N(0, sigma^2)distributed errors. Suppose that the parame…