TY - JOUR AU - Tahir, Mohamed PY - 2014 TI - SEQUENTIAL ESTIMATION OF THE SQUARE OF THE RAYLEIGH PARAMETER JF - Journal of Mathematics and Statistics VL - 10 IS - 2 DO - 10.3844/jmssp.2014.275.280 UR - https://thescipub.com/abstract/jmssp.2014.275.280 AB - 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.