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Kybernetika 39(1):43-54, 2003.

Blended φ-divergences with Examples.

Václav Kůs


Abstract:

Several new examples of divergences emerged in the recent literature called blended divergences. Mostly these examples are constructed by the modification or parametrization of the old well-known phi-divergences. Newly introduced parameter is often called blending parameter. In this paper we present compact theory of blended divergences which provides us with a generally applicable method for finding new classes of divergences containing any two divergences $D_0$ and $D_1$ given in advance. Several examples of blends of well-known divergences are given.


Keywords: divergences of probability distributions; blended divergences; statistical applications;


AMS: 62B10; 62F35; 62G35;


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BIB TeX

@article{kyb:2003:1:43-54,

author = {K\r{u}s, V\'{a}clav },

title = {Blended $\phi$-divergences with Examples.},

journal = {Kybernetika},

volume = {39},

year = {2003},

number = {1},

pages = {43-54}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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