A Note on α-stable and α-inverse Gaussian Laws

S. Satheesh *

School of Data Analytics; M: G: University; Kottayam − 686 560; India.

*Author to whom correspondence should be addressed.


Abstract

In this article we obtain the first passage time distribution of α-stable Levy processes. We derive the moment estimators of the parameters of α-inverse Gaussian laws and also their asymptotic distribution.

Keywords: Asymptotic normality, Brownian motion, estimator, first passage time, inverse Gaussian, Laplace transform, stable


How to Cite

Satheesh, S. 2022. “A Note on α-Stable and α-Inverse Gaussian Laws”. Asian Journal of Probability and Statistics 19 (2):29-34. https://doi.org/10.9734/ajpas/2022/v19i230465.

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