The authors derive a fixed-point iteration for MLE in λ-exponential families and prove the log-likelihood increases monotonically along its iterates.
Physica A: Statistical Mechanics and its Applications391(18), 4308–4319 (2012)
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Maximum likelihood estimation for the $\lambda$-exponential family
The authors derive a fixed-point iteration for MLE in λ-exponential families and prove the log-likelihood increases monotonically along its iterates.