Geodesic
Asymptotic behavior of statistical estimates of parameters for multidimensional discontinuities density
Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part I, Tome 74 (1977), pp. 83-107

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Asymptotic behavior of Bayes and maximum likelihood estimates of parameter $\Theta$ when density function $f(x,\Theta)$ at each fixed $x$ has jumps in $\Theta$ along some surface is studied. 
@article{ZNSL_1977_74_a2,
     author = {M. S. Ermakov},
     title = {Asymptotic behavior of statistical estimates of parameters for multidimensional discontinuities density},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {83--107},
     publisher = {mathdoc},
     volume = {74},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_74_a2/}
}
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M. S. Ermakov. Asymptotic behavior of statistical estimates of parameters for multidimensional discontinuities density. Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part I, Tome 74 (1977), pp. 83-107. http://geodesic.mathdoc.fr/item/ZNSL_1977_74_a2/