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math.PR2018
Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences
Rajeshwari Majumdar, Phanuel Mariano, Hugo Panzo +2
We consider three matrix models of order 2 with one random entry and the other three entries being deterministic. In the first model, we let $ε\sim\textrm{Bernoulli}\left(\frac…
math.PR2017★ 1 cited
Necessary and Sufficient Condition for Asymptotic Normality of Standardized Sample Means
Rajeshwari Majumdar, Suman Majumdar
The double sequence of standardized sample means constructed from an infinite sequence of square integrable independent random vectors in the plane with identically distributed coo…
math.PR2015★ 1 cited
Stabilization by Noise of a -Valued Coupled System
Joe P. Chen, Lance Ford, Derek Kielty +4
Recently Herzog and Mattingly have shown that a -valued polynomial ODE which admits finite-time blow-up solutions may be stabilized by the addition of -valu…