This
paper is to investigate the convergence rate of asymptotic normality of
frequency polygon estimation for density function under mixing random fields,
which include strongly mixing condition and some weaker mixing conditions. A
Berry-Esseen bound of frequency polygon is established and the convergence
rates of asymptotic normality are derived. In particularly, for the optimal bin
width, it is showed that the convergence rate of
asymptotic normality reaches to？when
mixing coefficient tends to zero exponentially fast.
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