SEQUENTIAL ESTIMATION OF THE SQUARE OF THE RAYLEIGH PARAMETER
DOI : 10.3844/jmssp.2014.275.280
Journal of Mathematics and Statistics
Volume 10, 2014
The problem addressed is that of sequentially estimating the square of the parameter of the Rayleigh distribution, subject to a weighted squared loss plus cost of sampling. We propose a sequential procedure and provide a second-order asymptotic expansion for the incurred regret. It is seen that the asymptotic regret is negative for a range of values of the parameter.
© 2014 Mohamed Tahir. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.