Abstract
The distribution of the ratio of independent gamma variates x and y each with shape parameters unity is studied, the ratio being t=x/(x+y). The problem arises from a model of ionic current fluctuations in biological membranes. Moments of the distribution are found, and an algorithm relating the fundamental parameter to the mean. This is used to set up percentage points. The moment estimator of the fundamental ratio parameter is defined as a series using Faà di Bruno's formulas for derivatives of a composite function (function of a function). Terms to order four in the sample size are given for mean and variance and compared to assessment using Pearson-Tukey transformations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Communications in Statistics - Simulation and Computation
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
