Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics
  • Year: 2019
  • Volume: 38E
  • Issue: 2

Fixed width confidence interval for the parameter of U(, ) distribution *

1Department of Statistics, S. B. Zadbuke Mahavidyalaya, Barsi, Maharashtra – 413401, India.

2Department of Statistics, S. B. Zadbuke Mahavidyalaya, Barsi, Maharashtra – 413401, India.

*E-mail: gholap.vidya86@gmail.com

**E-mail: hspatil1960@yahoo.com

Abstract

In the literature, an extensive work on sequential fixed width confidence intervals for the parameter θ of the U (0, θ) distribution is available. In this article, we propose a sequential fixed width (1 – α) level confidence interval for θ of U (, ) distribution, where 0 < a < b are increasing and known. Further we obtain the average sample number (ASN) function of the proposed procedure.

Keywords

Non–coverage probability, sequential procedure, numerical evaluation, Primary, 62L12, Secondary, 62F25