A Bivariate mixture of student’s t and normal distribution : Properties and estimation
*G. S. David Sam JayakumarCorresponding authorsamjaya77@gmail.comJamal Institute of ManagementJamal Mohamed College (Affiliated to Bharathidasan University)Trichy, Tamil Nadu, 620020, India0000-0002-6630-8783View full profile → , W. Samuelwsm@jmc.eduwsamuel365@gmail.comDepartment of Business AdministrationJamal Mohamed College (Affiliated to Bharathidasan University)Trichy, Tamil Nadu, 620020, India0000-0002-9112-9744View full profile → , Bejoy John Thomasbejoy@rajagiri.eduRajagiri Business SchoolRajagiri College of Social SciencesKochi, Kerala, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2025
- Published Online:
- 13 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-1554
- Pages:
- 487–515
Abstract
Keywords
Subject Classifications
References
[1] S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press (2000).
[2] P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series, Vols. 1, 2, and Amsterdam: Gordon and Breach Science Publishers (1986).
[3] S. Stigler, Seven Pillars of Statistical Wisdom. Cambridge, MA: Harvard University Press (2016).
[4] S. Stigler, The History of Statistics. Cambridge, MA: Harvard University Press (1986).
[5] Abraham de Moivre, The Doctrine of Chances, 2nd ed. London, UK (1738).
[6] R. A. Fisher, “Applications of ‘Student’s’ distribution,” Metron, vol. 5, pp. 90–104 (1925).
[7] W. S. Gosset, “Letter No. 2 to R. A. Fisher,” Guinness Son & Co Ltd, Dublin (1962). [Private Collection].
[8] E. S. Pearson, “‘Student’ as statistician,” Biometrika, vol. 30, pp. 210–250 (1939).
[9] W. S. Gosset, “The probable error of a mean,” Biometrika, vol. 4, pp. 1–24, 1908; “Tables for estimating the probability that the mean of a unique sample of observations lies between -∞ and any given distance of the mean of the population from which the sample is drawn,” (1917).
[10] L. McMullen, “‘Student’ as a man,” Biometrika, vol. 30, pp. 204–210 (1939).
[11] Y. Sayyari, “New refinements of Shannon’s entropy upper bounds,” J. Inf. Optim. Sci., vol. 42, no. 8, pp. 1869–1883 (2021).




