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math.ST2017★ 18 cited
Least informative distributions in Maximum q-log-likelihood estimation
Mehmet Niyazi Cankaya, Jan Korbel
We use the Maximum -log-likelihood estimation for Least informative distributions (LID) in order to estimate the parameters in probability density functions (PDFs) efficiently a…
math.ST2017
On the Robustness and Asymptotic Properties for Maximum Likelihood Estimators of Parameters in Exponential Power and its Scale Mixture Form Distributions
Mehmet Niyazi Cankaya, Olcay Arslan
The normality assumption on data set is very restrictive approach for modelling. The generalized form of normal distribution, named as an exponential power (EP) distribution, and i…
math.ST2017
M-Estimation Method Based Asymmetric Objective Function
Mehmet Niyazi Cankaya, Olcay Arslan
The asymmetric objective function is proposed as an alternative to Huber objective function to model skewness and obtain robust estimators for the location, scale and skewness para…