We obtain the almost sure consistency and the Berry-Esseen type bound of the maximum likelihood estimator for determinantal point processes (DPPs), completing and extending previous work initiated in Brunel, Moitra, Rigollet, and Urschel [BMRU17]. We also give explicit formula and a detailed discussion for the maximum likelihood estimator for blocked determinantal matrix of two by two submatrices and compare it with the frequency method.

翻译：我们获得了确定点过程（DPPs）最大似然估计的几乎必然一致性和Berry-Esseen型界，完善并推广了Brunel、Moitra、Rigollet和Urschel [BMRU17] 先前的工作。我们还给出了由2×2子矩阵构成的块对角确定矩阵的最大似然估计的显式公式及详细讨论，并将其与频率方法进行了比较。