On the confidence intervals of parametric functions for Distributions Generated by Symmetric Stable Laws

DAVOOD, DAVOOD; Department Of Mathematics, Quchan Institute Of Engineering And Technology - Quchan, Razavi Khorasan Province & GASPARIAN, KAREN V.; Chair Of Probability Theory And Mathematical Statistics - Yerevan State University
In this paper we consider “Discrete Distributions Generated by Standard Symmetric Stable Densities” (DSSD in short) arising in Bioinformatics (Astola and Danielian, 2007). Using well-known asymptotic properties of the maximum likelihood (ML) estimators we obtain the respective asymptotic confidence intervals for some useful parametric functionsof the DSSD.