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 Journal of Statistics and Management Systems cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510
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The Journal of Statistics and Management Systems (JSMS) is a world leading journal publishing high quality, rigorously peer-reviewed original research on theoretical and applied statistics and management systems since 1998. The scope is intentionally broad, but papers must make a novel contribution to the field to be considered for publication. Topics include, but are not limited to, the following: • Statistics • Applied Statistics • Industrial Statistics • Statistical Inference • Interdisciplinary role of Statistics • Actuarial Sciences • Decision Sciences • Managerial Aspects • Management Sciences • Management Information Systems

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Open Access Research Article

Predicting a random determinant with i.i.d. Beta variates of first kind

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pp. 365–370Vol. 29Issue 4April 2026DOI: 10.47974/JSMS-1523XML
Received:
08 Apr 2025
Published Online:
08 Jan 2026
Article type:
Research Article
Language:
EN
Article no.:
JSMS-1523
Pages:
365–370

Abstract

Chebyshev’s inequality is a powerful probabilistic inequality based on which we can set up confidence interval of any random variable irrespective of its distribution. In the present paper, we make use of this inequality to set up confidence (fiducial) limits of a second and third order random determinant whose entries are independently and identically distributed Beta variates of first kind. The results would be useful in computations involving determinants where the entries are random variables and in areas where we are dealing with random square matrices. 

Keywords

Subject Classifications

62P99

References

[1] G. L. Wise and E. B. Hall, “A note on the distribution of the determinant of a random matrix,” Statistics and Probability Letters, vol. 11, pp. 147–148 (1991).
[2] T. Muir, A Treatise on the Theory of Determinants, Nabu Press, 2011.
[3] N. Saha and S. Chakraborty, Probabilistic Analysis of a Random Determinant, GRIN Verlag (2019).
[4] N. Saha and S. Chakraborty, “Using Chebyshev’s inequality to predict a random determinant for i.i.d. Gamma and Weibull distributions,” Journal of Statistics and Management Systems, vol. 24, no. 3, pp. 613–623 (2021).
[5] S. C. Gupta and V. K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand and Sons (2014).

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