ESTIMATION OF THE RECIPROCAL OF THE MEAN OF THE INVERSE GAUSSIAN DISTRIBUTION WITH PRIOR INFORMATION

摘要

The Inverse Gaussian distribution was first introduced by (Schrodinger, 1915). Stemming from the earlier work by Cfweedie, 1947), the Inverse Gaussian (IG) distribution has received considerable attention in the statistical literature during the last two decades. Over the years it has found applications in different areas ranging from reliability and life testing to meteorology, biology, economics, medicine, market surveys and remote sensing. See (Seshadri, 1999) for an extensive list of applications (Sen and Khattree, 2000). The review paper by (Folks and Chhikara, 1978) has presented various interesting properties of the IG distribution. There are various alternative forms of a IG distribution available in the literature. Out of these we choose to work with the most familiar one having probability density function (p.d.f).