Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For data generated by stationa ry Markov chains there are considered estimates of chain parameters minimizing ^-divergences beten theoretical and empirical distributions of states. Consistency and asymptotic normality are established and the asymptotic covariance matrices are evaluated. Testing of hypotheses about the stationary distributions based on (^-dive rgences beten the estimated and empirical distributions is conside red as ll. Asymptotic distributions of (^-dive rgence test statistics are found, enabling to specify asymptotically o>level tests.
['M. L. Menéndez', 'Domingo Morales', 'Leandro Pardo', 'Igor Vajda']
I am writing a research paper on a idea INFERENCE ABOUT STATIONARY DISTRIBUTIONS OF MARKOV CHAINS BASED ON DIVERGENCES WITH OBSERVED FREQUENCIES
[{"from": "human", "value": "I am writing a research paper on a idea INFERENCE ABOUT STATIONARY DISTRIBUTIONS OF MARKOV CHAINS BASED ON DIVERGENCES WITH OBSERVED FREQUENCIES"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For data generated by stationa ry Markov chains there are considered estimates of chain parameters minimizing ^-divergences beten theoretical and empirical distributions of states. Consistency and asymptotic normality are established and the asymptotic covariance matrices are evaluated. Testing of hypotheses about the stationary distributions based on (^-dive rgences beten the estimated and empirical distributions is conside red as ll. Asymptotic distributions of (^-dive rgence test statistics are found, enabling to specify asymptotically o>level tests."}]