Two heuristic approximations-based on Laguerre series expansion and Jacobi series expansion-have been obtained in this paper for the distribution function of the random variable $T=\chi _{2}^{2}/(\chi _{1}^{2}+\chi _{2}^{2})$ where $\chi _{1}^{2}$ and $\chi _{2}^{2}$ are independent chi-square variables. Accuracy of these approximations have been studied numerically.
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Sankhyā: The Indian Journal of Statistics, Series B (1960-2002)
© 1968 Indian Statistical Institute
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