A Baum–Katz theorem for i.i.d. random variables with higher order moments

2014 ◽  
Vol 94 ◽  
pp. 63-68 ◽  
Author(s):  
Pingyan Chen ◽  
Soo Hak Sung
1974 ◽  
Vol 101 (1) ◽  
pp. 103-107 ◽  
Author(s):  
P. P. Boyle

Pollard and Pollard have considered a stochastic approach to certain actuarial problems. In their notation ãx denotes the random variable whose expected value is ax. The random variable ãx depends on the random variable, time until death and the (assumed constant) rate of interest. The authors show how to calculate the second and higher-order moments of some common actuarial random variables such as ãx and Ãx. The second moments, in particular, are useful in estimating confidence limits for the total liability in respect of a group of contracts.


Patterns ◽  
2021 ◽  
Vol 2 (9) ◽  
pp. 100332
Author(s):  
N. Alexia Raharinirina ◽  
Felix Peppert ◽  
Max von Kleist ◽  
Christof Schütte ◽  
Vikram Sunkara

Sign in / Sign up

Export Citation Format

Share Document