Limit theorems for nonnegative independent random variables with truncation

作者：Nakata T^*

来源：Acta Mathematica Hungarica, 2015, 145(1): 1-16.

DOI：10.1007/s10474-014-0474-5

• dominatedly varying
• truncation
• strong law of large numbers
• central limit theorem

We investigate asymptotic behavior of sums of independent and truncated random variables specified by P (0 ) = 1 and P for . By varying truncation levels we study strong laws of large numbers and central limit theorems. These are extensions of the results of GyArfi and Kevei [12] concerning the St. Petersburg game.

• 出版日期2015-2