An Advanced Weighted Levy Distribution: Statistical Properties and Application

Fathima Bi; Afaq Ahmad

doi:https://doi.org/10.14445/22315373/IJMTT-V61P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P524

An Advanced Weighted Levy Distribution: Statistical Properties and Application

Fathima Bi, Afaq Ahmad

Citation :

Fathima Bi, Afaq Ahmad, "An Advanced Weighted Levy Distribution: Statistical Properties and Application," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 173-176, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P524

Abstract

In order to model price variations in market, finance engineers may employ the concept of Levy distribution. The slow fall off of the Levy distribution model is a good match after price changes. In this paper, a new weighted model is introduced which would be obtained by assigning weights to Levy distribution. This work provides an insight to some basic distributional properties of this distributions such as Moments, moment generating function, Skewness, kurtosis, Shannon’s entropy etc. Maximum likelihood estimation and method of moments are employed to estimate the model parameters. For the purpose of illustration the proposed model would be applied to the real data set.

Keywords

Levy Distribution , Maximum Likelihood Estimation and Shannon’s Entropy

References

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