On the Inverse Gaussian Record Values
Journal Title: International Journal of Engineering Sciences & Research Technology - Year 30, Vol 3, Issue 7
Abstract
Record values have a pivotal role in real life applications. A lot of literature is available on upper and lower record values from various distributions except inverse Gaussian distribution (IGD). In this paper we focus on upper record values from IGD including its pdf and some of its basic properties. It has been proved that upper record values from normal distribution is the limiting case of upper record values from IGD when the shape parameter tends to infinity and the scale parameter equals to one. A recurrence relation in the moments of upper record values from IGD has been developed. A simulation study is conducted to find mean, variance, median, mode and quartiles for upper record values from the IGD. For this purpose, 50 upper record values of IGD has been taken, in 50 random samples of 100 size each drawn from IGD and show that for large values of shape parameter the distribution of upper record values from IGD is symmetrical.
Authors and Affiliations
Shakila Bashir*1
Keywords
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