The authors derive a fixed-point iteration for MLE in λ-exponential families and prove the log-likelihood increases monotonically along its iterates.
Mathematical Ge- ology 35(3), 279–300 (2003)
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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.