JSTOR Daily

Probabilities of Large Deviations of Sums of Random Variables

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 34, No. 1 (Mar., 1972), pp. 9-16 (8 pages) An exponential bound is obtained for probabilities of large deviations in a strictly ...
JSTOR Daily

A Weak Convergence Theorem for Random Sums of Independent Random Variables

The Annals of Mathematical Statistics, Vol. 41, No. 2 (Apr., 1970), pp. 710-712 (3 pages) A limit theorem for random sums of independent random elements of D[ 0, 1] is proved. The theorem extends and ...
Risk

Approximations of value-at-risk as an extreme quantile of a random sum of heavy-tailed random variables

This paper studies the approximation of extreme quantiles of random sums of heavy-tailed random variables, or, more specifically, subexponential random variables. A key application of this ...
lse

Probability, Distribution Theory and Inference

This course is compulsory on the BSc in Actuarial Science, BSc in Actuarial Science (with a Placement Year), BSc in Financial Mathematics and Statistics and BSc in Mathematics, Statistics and Business ...