Keywords and phrases: elliptically contoured distribution, scale mixture of distribution, Lomax-Pearson VII distribution, financial stock returns, Akaike information criterion, Mellin transform.
Received: July 14, 2021; Accepted: September 28, 2021; Published: November 29, 2021
How to cite this article: Iman Al Hashmi and Amadou Sarr, Lomax-Pearson VII distribution with application to financial stock returns, Advances and Applications in Statistics 71(2) (2021), 123-140. DOI: 10.17654/0972361721001
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References
[1] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, with Formulas, Graphs and Mathematical Tables, Dover Publications, New York, 1965. [2] M. K. Al-Jafari, An empirical investigation of the day-of-the-week effect on stock returns and volatility: evidence from Muscat securities market, Int. J. Econ. Fin. 4(7) (2012), 141-149. [3] M. I. Ahmad and A. Sarr, Joint distribution of stock market returns and trading volume, Rev. Integr. Bus. Res. 5(3) (2016), 110-116. [4] H. Akaike, A new look at the statistical model identification, IEEE Trans. Automatic Control 19(6) (1974), 716-723. [5] A. Bellahnid and A. Sarr, Skewed-Kotz distribution with application to financial stock returns, J. Stat. Theory Pract. 13(4) (2019), 1-33. [6] S. T. Boris Choy and C. M. Chan, Scale mixtures distributions in insurance applications, Astin Bull. 33(1) (2003), 93-104. [7] R. S. Ehlers, A study of skewed heavy-tailed distributions as scale mixtures, Amer. J. Math. Management Sci. 34 (2015), 40-66. [8] K. T. Fang, S. Kotz and K. W. Ng, Symmetric Multivariate and Related Distributions, Chapman and Hall, London, New York, CRC, 1990. [9] I. S. Gradshtern and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York, 1980. [10] A. K. Gupta and T. Varga, Elliptically Contoured Models in Statistics, Kluwer Academic Publishers, Dordrecht, 1993. [11] M. Ijaz, S. M. Asim and Alamgir, Lomax exponential distribution with an application to real-life data, PLoS ONE 14(12) (2019), e0225827. https://doi.org/10.1371/journal.pone.0225827. [12] J. K. Lindsey, Multivariate elliptically contoured distributions for repeated measurements, Biometrics 55 (1999), 1277-1280. [13] W. Magnus, F. Oberhettinger and F. G. Tricomi, Tables of Integral Transforms, Vol. 1, McGraw-Hill, 1954. [14] K. V. Mardia, J. T. Kent and J. M. Bibby, Multivariate Analysis, Academic Press, London, 1979. [15] A. Sarr and A. K. Gupta, Exponential scale mixture of matrix variate Cauchy distribution, Proc. Amer. Math. Soc. 139 (2011), 1483-1494. [16] I. J. Schoenberg, Metric spaces and completely monotone functions, Ann. Math. 39 (1938), 811-841. [17] G. Schwarz, Estimating the dimension of a model, Ann. Statist. 6 (1978), 461-464.
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